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This monograph is an up-to-date presentation of the analysis and
design of singular Markovian jump systems (SMJSs) in which the
transition rate matrix of the underlying systems is generally
uncertain, partially unknown and designed. The problems addressed
include stability, stabilization, H∞ control and filtering,
observer design, and adaptive control. applications of Markov
process are investigated by using Lyapunov theory, linear matrix
inequalities (LMIs), S-procedure and the stochastic Barbalat’s
Lemma, among other techniques. Features of the book include:
·        study of
the stability problem for SMJSs with general transition rate
matrices (TRMs);
·       Â
stabilization for SMJSs by TRM design, noise control,
proportional-derivative and partially mode-dependent control, in
terms of LMIs with and without equation constraints;
·       Â
mode-dependent and mode-independent H∞ control solutions with
development of a type of disordered controller;
·       Â
observer-based controllers of SMJSs in which both the designed
observer and controller are either mode-dependent or
mode-independent;
·       Â
consideration of robust H∞ filtering in terms of uncertain TRM or
filter parameters leading to a method for totally mode-independent
filtering
·       Â
development of LMI-based conditions for a class of adaptive state
feedback controllers with almost-certainly-bounded estimated error
and almost-certainly-asymptotically-stable corres ponding
closed-loop system states
·       Â
applications of Markov process on singular systems with norm
bounded uncertainties and time-varying delays Analysis and Design
of Singular Markovian Jump Systems contains valuable reference
material for academic researchers wishing to explore the area. The
contents are also suitable for a one-semester graduate course.
This monograph is an up-to-date presentation of the analysis and
design of singular Markovian jump systems (SMJSs) in which the
transition rate matrix of the underlying systems is generally
uncertain, partially unknown and designed. The problems addressed
include stability, stabilization, H control and filtering, observer
design, and adaptive control. applications of Markov process are
investigated by using Lyapunov theory, linear matrix inequalities
(LMIs), S-procedure and the stochastic Barbalat's Lemma, among
other techniques. Features of the book include: * study of the
stability problem for SMJSs with general transition rate matrices
(TRMs); * stabilization for SMJSs by TRM design, noise control,
proportional-derivative and partially mode-dependent control, in
terms of LMIs with and without equation constraints; *
mode-dependent and mode-independent H control solutions with
development of a type of disordered controller; * observer-based
controllers of SMJSs in which both the designed observer and
controller are either mode-dependent or mode-independent; *
consideration of robust H filtering in terms of uncertain TRM or
filter parameters leading to a method for totally mode-independent
filtering * development of LMI-based conditions for a class of
adaptive state feedback controllers with almost-certainly-bounded
estimated error and almost-certainly-asymptotically-stable corres
ponding closed-loop system states * applications of Markov process
on singular systems with norm bounded uncertainties and
time-varying delays Analysis and Design of Singular Markovian Jump
Systems contains valuable reference material for academic
researchers wishing to explore the area. The contents are also
suitable for a one-semester graduate course.
Complexity, Analysis and Control of Singular Biological Systems
follows the control of real-world biological systems at both
ecological and phyisological levels concentrating on the
application of now-extensively-investigated singular system theory.
Much effort has recently been dedicated to the modelling and
analysis of developing bioeconomic systems and the text establishes
singular examples of these, showing how proper control can help to
maintain sustainable economic development of biological resources.
The book begins from the essentials of singular systems theory and
bifurcations before tackling the use of various forms of control in
singular biological systems using examples including predator-prey
relationships and viral vaccination and quarantine control.
Researchers and graduate students studying the control of complex
biological systems are shown how a variety of methods can be
brought to bear and practitioners working with the economics of
biological systems and their control will also find the monograph
illuminating.
Singular systems which are also referred to as descriptor systems,
semi-state systems, differential- algebraic systems or generalized
state-space systems have attracted much attention because of their
extensive applications in the Leontief dynamic model, electrical
and mechanical models, etc. This monograph presented up-to-date
research developments and references on stability analysis and
design of nonlinear singular systems. It investigated the problems
of practical stability, strongly absolute stability, input-state
stability and observer design for nonlinear singular systems and
the problems of absolute stability and multi-objective control for
nonlinear singularly perturbed systems by using Lyapunov stability
theory, comparison principle, S-procedure and linear matrix
inequality (LMI), etc. Practical stability, being quite different
from stability in the sense of Lyapunov, is a significant
performance specification from an engineering point of view. The
basic concepts and results on practical stability for standard
state-space systems were generalized to singular systems. For Lur'e
type descriptor systems (LDS) which were the feedback
interconnection of a descriptor system with a static nonlinearity,
strongly absolute stability was defined and Circle criterion and
Popov criterion were derived. The notion of input-state stability
(ISS) for nonlinear singular systems was defined based on the
concept of ISS for standard state-space systems and the
characteristics of singular systems. LMI-based sufficient
conditions for ISS of Lur'e singular systems were proposed.
Furthermore, observer design for nonlinear singular systems was
studied and some observer design methods were proposed by the
obtained stability results and convex optimization algorithms.
Finally, absolute stability and multi-objective control of
nonlinear singularly perturbed systems were considered. By Lyapunov
functions, absolute stability criteria of Lur'e singularly
perturbed systems were proposed and multi-objective control of T-S
fuzzy singularly perturbed systems was achieved. Compared with the
existing results, the obtained methods do not depend on the
decomposition of the original system and can produce a determinate
upper bound for the singular perturbation parameter.
We utilize the operational MODIS BRDF products to create spatially
and temporally complete bases. Although a nine-year record of
global BRDFs from NASA's Terra and Aqua satellites now exists, its
inclusion in regional and global models has been limited by the
extensive data-gaps caused by persistent clouds and ephemeral snow
cover. This research focuses on bridging the gaps in the MODIS BRDF
products, which is achieved by applying rigorous temporal
interpolation techniques based on vegetation development curves.
Comparison of the resulting MODIS BRDF products with the direct
BRDF retrievals from the POLDER-3 sensor shows a very good linear
relationship between these two remotely sensed products. This
resulting consistent, high-quality, long-term reflectance
anisotropy databases will benefit the regional and global modeling
and monitoring communities.
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