1 Grundlagen der Dynamik regelungstechnischer Systeme.- 1.1 Allgemeine Zielsetzung der Regelungstechnik.- 1.2 Regelkreis.- 1.3 Voraussetzungen fur Blockorientierung und Regelkreisbildung.- 1.4 Aufgaben der Regelungstechnik.- 1.5 UEbertragungsfunktion und Regelungssystemtheorie.- 1.6 Anfangsbedingungen und Nullstellen der UEbertragungsfunktion.- 1.7 Ausgangssignal Xa(s) bei x a(k)(0?)=0.- 1.8 Nichtverschwindende Vorgeschichte xa(k)(0?)?0.- 1.9 Analyse im Spektralbereich. Verknupfung mehrerer Elemente.- 1.10 Regelstrecke und Stoergroessen.- 1.11 Einschleifiger Standardregelkreis.- 1.12 Sensitivitat.- 1.13 Differentielle Sensitivitat fur den Standardregelkreis.- 1.14 Linearisierung.- 1.15 Regelkreis im Signalflussdiagramm.- 1.16 Spezielle Elemente regelungstechnischer Systeme.- 1.16.1 Rationale UEbertragungselemente.- 1.16.2 Totzeit-Elemente.- 1.16.3 Allpass-Elemente.- 1.16.4 Laufzeitelemente.- 2 Regelkreisanalyse im Zeitbereich.- 2.1 Regelkreis-Reaktion auf einfache Signale.- 2.2 Mehrfache Polstellen von Xa(s).- 2.3 Naherung fur kleine Zeitwerte.- 2.4 Naherung fur grosse Zeitwerte.- 2.5 Faltungsintegral und Naherung durch Faltungssumme.- 2.6 Regelungen mit Totzeitelementen.- 3 Formulierung kontinuierlicher Regelungssysteme im Zustandsraum.- 3.1 Grundlagen.- 3.2 Transitionsmatrix (Fundamentalmatrix).- 3.3 Potenzreihenentwicklung der Transitionsmatrix.- 3.4 Zustandsregler. Fuhrungs- und Stoerungsverhalten.- 3.5 Vorfilterbemessung.- 4 Analyseverfahren im Frequenzbereich.- 4.1 Frequenzgang.- 4.2 Ortskurven des Frequenzgangs.- 4.3 Ortskurven von typischen stabilen Regelkreis-Element en.- 4.4 Ortskurven instabiler Regelkreiselemente.- 4.5 Frequenzgangsortskurve des Regelkreises.- 4.6 Ermittlung von Zeitbereichssignalen aus dem Frequenzbereich.- 4.7 Ermittlung des Frequenzganges aus der gemessenen Systemantwort.- 4.8 Bode-Diagramm.- 4.9 Phasenminimum-Beziehungen.- 4.10 Knickstellen der Regelschleife und des Regelkreises.- 4.11 H?-Norm einer UEbertragungsfunktion.- 5 Regelstrecken im Regelkreis.- 5.1 Antriebe. Allgemeines.- 5.2 Stromrichtergespeiste Gleichstromantriebe.- 5.3 Stromleitverfahren.- 5.4 Begrenzungsregelung.- 5.5 Kupplungselastizitat.- 5.6 Umrichtergespeiste Asynchronmaschine.- 5.7 Thermische Regelstrecken.- 5.7.1 Durchlauferhitzer, Warmetauscher.- 5.7.2 Kessel und Turbine.- 5.8 Hydraulische Regelstrecken.- 5.9 Pneumatische Regelstrecke.- 5.10 Mechanische Positionsregelstrecken.- 5.10.1 Einfache Fahrzeuglenkung.- 5.10.2 Balancierung.- 5.10.3 Passagierflugzeug.- 5.10.4 Raketenantrieb.- 5.11 Verfahrenstechnische Regelstrecken.- 5.12 Elektronische und nachrichtentechnische Regelstrecken.- 5.12.1 Verstarkungsausgleich.- 5.12.2 Scharfabstimmung.- 5.12.3 Zeilensynchronisierung.- 5.12.4 Rauschunterdruckung.- 5.13 Phase-Locked Loops (PLL).- 5.13.1 Phase-Locked Loop in analoger Ersatzrechnung.- 5.13.2 Regelungen an einem CD-Player.- 5.14 Schaltzeichen (Sinnbilder) fur technische Regelstrecken.- 5.15 Volkswirtschaftliche Regelungen.- 5.16 Physiologische und psychische Regelkreise.- 5.17 Soziologische Regelungen.- 6 Stellglieder und Verstarker.- 6.1 Stromrichterstellglieder.- 6.2 Umrichter fur Drehfeldmaschinen.- 6.3 Stellmotoren fur mechanische Positionierung.- 6.4 Stellglieder fur Flussigkeits-, Gasstroeme u. koernige Stoffe.- 6.5 Schaltzeichen fur Stellglieder und Verstarker.- 7 Regelungstechnischer Einsatz von Sensoren und Messumformern.- 7.1 Anforderungen.- 7.2 Messrauschen.- 7.3 Leistung eines Rauschsignales.- 8 Identifikationsverfahren.- 8.1 Auswertung der Sprungantwort von PDT1-Elementen.- 8.2 Auswertung der Sprungantwort von PT2-Elementen.- 8.3 Wendetangentenmethode bei PT2-Elementen.- 8.4 Auswertung der Sprungantwort von IT1-Elementen.- 8.5 Momentenmethode an der Gewichtsfunktion.- 8.6 Identifikation mit Hilfsregler.- 8.7 Identifikation mit fiktivem Serienelement.- 8.8 Regressionsanalyse. Quadratische Ausgleichsrechnung.- 9 Regler. Ausfuhrung und Dimensionierung.- 9.1 Operationsverstarker.- 9.2 Elektr

Queueing theory (the mathematical theory of waiting lines in all its configurations) continues to be a standard major area of operations research on the stochastic side. Therefore, universities with an active program in operations research sometimes will have an entire course devoted mainly or entirely to queueing theory, and the course is also taught in computer science, electrical engineering, mathematics, and industrial engineering programs. The basic course in queueing theory is often taught at first year graduate level, though can be taught at senior level undergraduate as well. This text evolved from the author's preferred syllabus for teaching the course, presenting the material in a more logical order than other texts and so being more effective in teaching the basics of queueing theory. The first three chapters focus on the needed preliminaries, including exposition distributions, Poisson processes and generating functions, renewal theory, and Markov chains, Then, rather than switching to first-come first-served memoryless queues here as most texts do, Haviv discusses the M/G/1 model instead of the M/M/1, and then covers priority queues. Later chapters cover the G/M/1 model, thirteen examples of continuous-time Markov processes, open networks of memoryless queues and closed networks, queueing regimes with insensitive parameters, and then concludes with two-dimensional queueing models which are quasi birth and death processes. Each chapter ends with exercises.

Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Levy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes.

The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice."

Stability is one of the most studied issues in the theory of time-delay systems, however the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart ofclassical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with asystematic and exhaustivetreatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems.

"Time-Delay Systems: Lyapunov Functionals and Matrices "will be of great use and interest to researchers and graduate students in automatic control and applied mathematics as well as practicing engineers involved in control system design. "

This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.

This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and the qualitative theory of partial differential equations, whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics who may need analytical tools; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws. This new edition places increased emphasis on hyperbolic systems of balance laws with dissipative source, modeling relaxation phenomena. It also presents an account of recent developments on the Euler equations of compressible gas dynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised, expanded and brought up to date, and has been enriched with new applications to elasticity and differential geometry. The bibliography, also expanded and updated, now comprises close to two thousand titles. From the reviews of the 3rd edition: "This is the third edition of the famous book by C.M. Dafermos. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "A monumental book encompassing all aspects of the mathematical theory of hyperbolic conservation laws, widely recognized as the "Bible" on the subject." Philippe G. LeFloch, Math. Reviews

This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog's theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering. To benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential prerequisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibniz's rule for differentiating under the integral sign and to some extent analysis of infinite series. The book offers a valuable asset for undergraduate and graduate students of mathematics and engineering, as well as students with no background in topological properties.

This short monograph presents the theory of electromagnetic pulses in a simple and physical way. All pulses discussed are exact solutions of the Maxwell equations, and have finite energy, momentum and angular momentum. There are five chapters: on Fundamentals, Solutions of the Wave Equation, Electromagnetic Pulses, Angular Momentum, and Lorentz Transformations. Nine Appendices cover mathematical or associated aspects, such as chiral measures of electromagnetic fields. The subject matter is restricted to free-space classical electrodynamics, but contact is made with quantum theory in proofs that causal pulses are equivalent to superpositions of photons.

Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology. Besides specialists of these domains, many specialists of new domains start to show a growing interest
both to hyperbolic geometry and to cellular automata. This is especially the case in biology and computer science.

This book gives the reader a deep and efficient introduction to an algorithmic approach to hyperbolic geometry. It focuses the attention on the possibilities to obtain in this frame the power of computing everything a computer can compute, that is to say: universality.

The minimal ways to get universality are investigated in a large family of tilings of the hyperbolic plane. In several cases the best results are obtained.In all cases, the results are close to the theoretical best values. This gives rise to fantastic illustrations: the results are jewels in all meanings of the word.

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Maurice MARGENSTERN is professor emeritus at the University of Lorraine, he is a member of LITA, the research unit of computer science in the campus of Metz of this university. Professor Margenstern is amongst top world experts in theory of computation, mathematical machines and geometry. He is a pioneer
in cellular automata in hyperbolic spaces.

Optimization is an integral part to science and engineering. Most real-world applications involve complex optimization processes, which are di?cult to solve without advanced computational tools. With the increasing challenges of ful?lling optimization goals of current applications there is a strong drive to advancethe developmentofe?cientoptimizers. The challengesintroduced by emerging problems include: * objective functions which are prohibitively expensive to evaluate, so ty- callysoonlyasmallnumber ofobjectivefunctionevaluationscanbemade during the entire search, * objective functions which are highly multimodal or discontinuous, and * non-stationary problems which may change in time (dynamic). Classical optimizers may perform poorly or even may fail to produce any improvement over the starting vector in the face of such challenges. This has motivated researchers to explore the use computational intelligence (CI) to augment classical methods in tackling such challenging problems. Such methods include population-based search methods such as: a) evolutionary algorithms and particle swarm optimization and b) non-linear mapping and knowledgeembedding approachessuchasarti?cialneuralnetworksandfuzzy logic, to name a few. Such approaches have been shown to perform well in challenging settings. Speci?cally, CI are powerful tools which o?er several potential bene?ts such as: a) robustness (impose little or no requirements on the objective function) b) versatility (handle highly non-linear mappings) c) self-adaptionto improveperformance and d) operationin parallel(making it easy to decompose complex tasks). However, the successful application of CI methods to real-world problems is not straightforward and requires both expert knowledge and trial-and-error experiments.

This treasure of popular science by the Russian biophysicist Mikhail V. Volkenstein is at last, more than twenty years after its appearance in Russian, available in English translation.

As its title Entropy and Information suggests, the book deals with the thermodynamical concept of entropy and its interpretation in terms of information theory. The author shows how entropy is not to be considered a mere shadow of the central physical concept of energy, but more appropriately as a leading player in all of the major natural processes: physical, chemical, biological, evolutionary, and even cultural.

The theory of entropy is thoroughly developed from its beginnings in the foundational work of Sadi Carnot and Clausius in the context of heat engines, including expositions of much of the necessary physics and mathematics, and illustrations from everyday life of the importance of entropy.

The author then turns to Boltzmann's epoch-making formula relating the entropy of a system directly to the degree of disorder of the system, and to statistical physics as created by Boltzmann and Maxwell---and here again the necessary elements of probability and statistics are expounded. It is shown, in particular, that the temperature of an object is essentially just a measure of the mean square speed of its molecules.

Fluctuations" in a system are introduced and used to explain why the sky is blue, and how, perhaps, the universe came to be so ordered. Whether statistical physics reduces ultimately to pure mechanics, as Laplace's demon" would have it, is also discussed.

The final three chapters concentrate on open systems, that is, systems which exchange energy or matter with their surroundings---first linear systems close to equilibrium, and then non-linear systems far from equilibrium. Here entropy, as it figures in the theory of such systems developed by Prigogine and others, affords explanations of the mechanism of division of cells, the process of aging in organisms, and periodic chemical reactions, among other phenomena.

Finally, information theory is developed---again from first principles---and the entropy of a system characterized as absence of information about the system. In the final chapter, perhaps the piece de resistance of the work, the author examines the thermodynamics of living organisms in the context of biological evolution. Here the value of biological information" is discussed, linked to the concepts of complexity and irreplaceability. The chapter culminates in a fascinating discussion of the significance of these concepts, all centered on entropy, for human culture, with many references to particular writers and artists.

The book is recommended reading for all interested in physics, information theory, chemistry, biology, as well as literature and art."

This book presents extensive information on the mechanisms of epitaxial growth in III-nitride compounds, drawing on a state-of-the-art computational approach that combines ab initio calculations, empirical interatomic potentials, and Monte Carlo simulations to do so. It discusses important theoretical aspects of surface structures and elemental growth processes during the epitaxial growth of III-nitride compounds. In addition, it discusses advanced fundamental structural and electronic properties, surface structures, fundamental growth processes and novel behavior of thin films in III-nitride semiconductors. As such, it will appeal to all researchers, engineers and graduate students seeking detailed information on crystal growth and its application to III-nitride compounds.

This thesis investigates ultracold molecules as a resource for novel quantum many-body physics, in particular by utilizing their rich internal structure and strong, long-range dipole-dipole interactions. In addition, numerical methods based on matrix product states are analyzed in detail, and general algorithms for investigating the static and dynamic properties of essentially arbitrary one-dimensional quantum many-body systems are put forth. Finally, this thesis covers open-source implementations of matrix product state algorithms, as well as educational material designed to aid in the use of understanding such methods.

This book presents the state of the art in multilevel analysis, with an emphasis on more advanced topics. These topics are discussed conceptually, analyzed mathematically, and illustrated by empirical examples. Multilevel analysis is the statistical analysis of hierarchically and non-hierarchically nested data. The simplest example is clustered data, such as a sample of students clustered within schools. Multilevel data are especially prevalent in the social and behavioral sciences and in the biomedical sciences. The chapter authors are all leading experts in the field. Given the omnipresence of multilevel data in the social, behavioral, and biomedical sciences, this book is essential for empirical researchers in these fields.

This book introduces new concepts and mechanisms regarding the usage of both social media interactions and artifacts for peer education in digital educational games. Digital games in general, and digital educational games in particular, represent an area with a high potential for interdisciplinary innovation, not only from an information technology standpoint, but also from social science, psychological and didactic perspectives. This book presents an interdisciplinary approach to educational games, which is centered on information technology and aims at: (1) improving digital management by focusing on the exchange of learning outcomes and solution assessment in a peer-to-peer network of learners; (2) achieving digital implementation by using forms of interaction to change the course of educational games; and (3) providing digital support by fostering group-formation processes in educational situations to increase both the effects of educational games and knowledge exchange at the individual level. In addition to a systematic analysis of the relationship between software architecture, educational games and social media applications, the book also presents the implemented IT systems' architectures and algorithmic solutions as well as the resulting applicable evaluation findings from the field of interactive multimedia learning.

This book provides an introduction to the mathematical aspects of Euler's elastic theory and its application. The approach is rigorous, as well as visually depicted, and can be easily digested. The first few chapters introduce the needed mathematical concepts from geometry and variational calculus. The formal definitions and proofs are always illustrated through complete derivations and concrete examples. In this way, the reader becomes acquainted with Cassinian ovals, Sturmian spirals, co-Lemniscates, the nodary and the undulary, Delaunay surfaces, and their generalizations. The remaining chapters discuss the modeling of membranes, mylar balloons, rotating liquid drops, Hele-Shaw cells, nerve fibers, Cole's experiments, and membrane fusion. The book is geared towards applied mathematicians, physicists and engineers interested in Elastica Theory and its applications.

This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. It is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay.

Replete with examples, Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference guide for graduate students, researchers, and professionals in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.

Recent years have seen a number of introductory texts which focus on the applications of modern stochastic calculus to the theory of finance, and on the pricing models for derivative securities in particular. Some of these books develop the mathematics very quickly, making substantial demands on the readerOs background in advanced probability theory. Others emphasize the financial applications and do not attempt a rigorous coverage of the continuous-time calculus. This book provides a rigorous introduction for those who do not have a good background in stochastic calculus. The emphasis is on keeping the discussion self-contained rather than giving the most general results possible.

Growing transportation costs and tight delivery schedules mean that good located decisions are more crucial than ever in the success or failure of industrial and puplic projects. The development of realistic location models is an essential phase in every locational decision process. Especially when dealing with geometric representations of continuous (planar) location model problems, the goegraphical reality must be incorporated. This text develops the mathematical implications of barriers to the geometrical and analytical characteristics of continuous location problems. Besides their relevance in the application of location theoretic results, location problems with barriers are also very interesting from a mathematical point of view. The nonconvexity of distance measures in the presence of barriers leads to nonconvex optimization problems. Most of the classical methods in continuous location theory rely heaily on the convexity of the objective function and will thus fail in this context. On the other hand, general methods in global optimization capable of treating nonconvex problems ignore the geometric charateristics of the location problems considered. Theoretic as well as algorithmic approaches are utilized to overcome the described difficulties for the solution of location problems with barriers. Depending on the barrier shapes, the underlying distance measure, and type of objective function, different concepts are conceived to handle the nonconvexity of the problem. This book will appeal to those working in operations research and management science and mathematicians interested in optimization theory and its applications.

Mathematics is undoubtedly the key to state-of-the-art high technology. It is aninternationaltechnicallanguageandprovestobeaneternallyyoungscience to those who have learned its ways. Long an indispensable part of research thanks to modeling and simulation, mathematics is enjoying particular vit- ity now more than ever. Nevertheless, this stormy development is resulting in increasingly high requirements for students in technical disciplines, while general interest in mathematics continues to wane at the same time. This book and its appendices on the Internet seek to deal with this issue, helping students master the di?cult transition from the receptive to the productive phase of their education. The author has repeatedly held a three-semester introductory course - titled Higher Mathematics at the University of Stuttgart and used a series of "handouts" to show further aspects, make the course contents more motiv- ing, and connect with the mechanics lectures taking place at the same time. One part of the book has more or less evolved from this on its own. True to the original objective, this part treats a variety of separate topics of varying degrees of di?culty; nevertheless, all these topics are oriented to mechanics. Anotherpartofthisbookseekstoo?eraselectionofunderstandablereal- ticmodelsthatcanbeimplementeddirectlyfromthemultitudeofmathema- calresources.TheauthordoesnotattempttohidehispreferenceofNumerical Mathematics and thus places importance on careful theoretical preparation.

This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.

This thesis describes the thorough analysis of the rare B meson decay into K* on data taken by the Belle Collaboration at the B-meson-factory KEKB over 10 years. This reaction is very interesting, because it in principle allows the observation of CP-violation effects. In the Standard Model however, no CP violation in this reaction is expected. An observation of CP asymmetries thus immediately implies new physics. This thesis presents an amplitude analysis of this decay and the search for CP violation in detail and discusses methods to solve related problems: The quantification of multivariate dependence and the improvement of numeric evaluation speed of normalization integrals in amplitude analysis. In addition it provides an overview of the theory, experimental setup, (blind) statistical data analysis and estimation of systematic uncertainties.

Multi-agent systems have numerous civilian, homeland security, and military applications; however, for all these applications, communication bandwidth, sensing range, power constraints, and stealth requirements preclude centralized command and control. The alternative is distributed coordination, which is more promising in terms of scalability, robustness, and flexibility. Distributed Coordination of Multi-agent Networks introduces problems, models, and issues such as collective periodic motion coordination, collective tracking with a dynamic leader, and containment control with multiple leaders, and explores ideas for their solution. Solving these problems extends the existing application domains of multi-agent networks; for example, collective periodic motion coordination is appropriate for applications involving repetitive movements, collective tracking guarantees tracking of a dynamic leader by multiple followers in the presence of reduced interaction and partial measurements, and containment control enables maneuvering of multiple followers by multiple leaders. The authors models for distributed coordination arise from physical constraints and the complex environments in which multi-agent systems operate; they include Lagrangian models more realistic for mechanical-systems modeling than point models and fractional-order systems which better represent the consequences of environmental complexity. Other issues addressed in the text include the time delays inherent in networked systems, optimality concerns associated with the deisgn of energy-efficent algorithms, and the use of sampled-data settings in systems with intermittent neightbor-neighbor contact. Researchers, graduate students, and engineers interested in the field of multi-agent systems will find this monograph useful in introducing them to presently emerging research directions and problems in distributed coordination of multi-agent networks. The Communications and Control Engineering series reports major technological advances which have potential for great impact in the fields of communication and control. It reflects research in industrial and academic institutions around the world so that the readership can exploit new possibilities as they become available.

Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume aims at showing how a combination of new discoveries in developmental biology and associated modelling and computational techniques has stimulated or may stimulate relevant advances in the field. Finally it aims at facilitating the process of unfolding a mutual recognition between Biologists and Mathematicians of their complementary skills, to the point where the resulting synergy generates new and novel discoveries. It offers an interdisciplinary interaction space between biologists from embryology, genetics and molecular biology who present their own work in the perspective of the advancement of their specific fields, and mathematicians who propose solutions based on the knowledge grasped from biologists.