EAN: 9783319087221

ANALYSIS AND DESIGN OF SINGULAR MARKOVIAN JUMP ...

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
corresponding closed-loop system states· applications of Markov process on singular systems
with norm bounded uncertainties and time-varying delaysAnalysis 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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