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Analysis and Design of Singular Markovian Jump Systems (Paperback, Softcover reprint of the original 1st ed. 2015)
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Analysis and Design of Singular Markovian Jump Systems (Paperback, Softcover reprint of the original 1st ed. 2015)
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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.
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