New robust delay-dependent stability and H ∞ analysis for uncertain Markovian jump systems with time-varying delays

Abstract: This paper deals with the problems of robust delay-dependent stability and H ∞ analysis for Markovian jump linear systems with norm-bounded parameter uncertainties and time-varying delays. In terms of linear matrix inequalities, an improved delay-range-dependent stability condition for Markovian jump systems is proposed by constructing a novel Lyapunov–Krasovskii functional with the idea of partitioning the time delay, and a sufficient condition is derived from the H ∞ performance. Numerical examples are provided to demonstrate efficiency and reduced conservatism of the results in this paper. [Copyright &y& Elsevier]