Delay-DependentH∞Control for Descriptor Markovian Jump Systems with Time-Varying Delay

[摘要] This paper is concerned with the delay-dependentH∞control problem for continuous-time descriptorMarkovian jump systems with time-varying delay. By constructing various Lyapunov-Krasovskiifunctionals for different subsystems, together with delay decomposition method, a new delay-dependentbounded real lemma (BRL) is derived, under which descriptor Markovian jump time-delay systems areregular, impulse-free, and stochastically stable and satisfy a prescribedH∞performance level. Since thereciprocally convex combination approach is adopted to estimate the upper bound of the integral terms,the BRL obtained in this paper is less conservative than some existing ones. Based on the proposedBRL, a sufficient condition for the existence of state feedback controller is provided. Finally, threenumerical examples are provided to demonstrate the validity of the proposed methods.

[学科分类] 应用数学