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The robust output feedback stabilization problem for uncertain discrete-time Markov jump descriptor systems with time-varying delays is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the discussed system is transformed into a discrete-time Markov jump standard linear system with time-varying delays. Then by discussing the transformed...
In this paper, the problem of robust L1/H∞ control for a class of linear continuous-time uncertain systems with randomly jumping parameters is investigated using linear matrix inequality (LMI) approach. The uncertainties are assumed to be norm-bounded. The transition of the jumping parameters is governed by a finite-state Markov process. The purpose is to design a linear state feedback controller...
The robust output feedback stabilization problem for discrete-time Markov jump singular systems with parameter uncertainties is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a discrete-time Markov jump standard linear system, then by discussing the transformed system, the output feedback controller...
This paper provides a delay-dependent approach to the design of fuzzy dynamic output feedback controllers for uncertain discrete-time fuzzy Markovian jump systems with interval time-varying delays. First, by a fuzzy-basis-dependent and mode-dependent Lyapunov functional, a stochastic stability condition is derived by using the Finsler's lemma. Second, in terms of linear matrix inequalities (LMIs),...
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