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The subject of the book includes the study of control problems for
systems which are encountered in viscoelasticity, non-Fickian
diffusion and thermodynamic with memory. The common feature of
these systems is that memory of the whole past history persists in
the future. This class of systems is actively studied now, as
documented in the recent book. This book will attract a diversified
audience, in particular, engineers working on distributed systems,
and applied mathematicians. Background of mathematics are the
elements of functional analysis, which is now standard among people
working on distributed systems, and the author describes very
clearly the instruments which are used at every step.
The fundamental problem in control engineering is to provide robust
performance to uncertain plants. H -control theory began in the
early eighties as an attempt to lay down rigorous foundations on
the classical robust control requirements. It now turns out that H
-control theory is at the crossroads of several important
directions of research space or polynomial approach to control and
classical interpolation theory; harmonic analysis and operator
theory; minimax LQ stochastic control and integral equations. The
book presents the underlying fundamental ideas, problems and
advances through the pen of leading contributors to the field, for
graduate students and researchers in both engineering and
mathematics. From the Contents: C. Foias: Commutant Lifting
Techniques for Computing Optimal H Controllers.- B.A. Francis:
Lectures on H Control and Sampled-Data Systems.- J.W. Helton: Two
Topics in Systems Engineering Frequency Domain Design and Nonlinear
System.- H. Kwakernaak: The Polynomial Approach to H -Optimal
Regulation.- J.B. Pearson: A Short Course in l - Optimal Control
This text addresses systems with persistent memory that are common
mathematical models used in the study of viscoelasticity and
thermodynamics with memory. In particular, this class of systems is
used to model non-Fickian diffusion in the presence of complex
molecular structures. Hence, it has wide applications in biology.
The book focuses on the properties and controllability of the
archetypal heat and wave equations with memory and introduces the
dynamic approach to identification problems and the basic
techniques used in the study of stability. The book presents
several approaches currently used to study systems with persistent
memory: Volterra equation in Hilbert spaces, Laplace transform
techniques and semigroup methods. The text is intended for a
diverse audience in applied mathematics and engineering and it can
be used in PhD courses. Readers are recommended to have a
background in the elements of functional analysis. Topics of
functional analysis which younger readers may need to familiarize
with are presented in the book.
This text addresses systems with persistent memory that are common
mathematical models used in the study of viscoelasticity and
thermodynamics with memory. In particular, this class of systems is
used to model non-Fickian diffusion in the presence of complex
molecular structures. Hence, it has wide applications in biology.
The book focuses on the properties and controllability of the
archetypal heat and wave equations with memory and introduces the
dynamic approach to identification problems and the basic
techniques used in the study of stability. The book presents
several approaches currently used to study systems with persistent
memory: Volterra equation in Hilbert spaces, Laplace transform
techniques and semigroup methods. The text is intended for a
diverse audience in applied mathematics and engineering and it can
be used in PhD courses. Readers are recommended to have a
background in the elements of functional analysis. Topics of
functional analysis which younger readers may need to familiarize
with are presented in the book.
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Ireland
Sarah Elliott
Hardcover
R313
R211
Discovery Miles 2 110
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