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 H8 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 H8 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
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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"Many practical systems, such as mechanical, electrical, chemical, economic systems can be modeled by singular Markovian Jump systems (SMJSs) having dynamics changing abruptly. ... the aim of the monograph is to present the state-of-the-art of SMJSs. ... The book can be recommended to readers having good knowledge in analysis, probability theory and stochastic processes." (Kurt Marti, zbMATH 1317.93002, 2015)