Robust H∞ tracking control for uncertain Markovian jumping systems with interval time-varying delay

In this article, the problem of robust H-infinity tracking control for a class of uncertain Markovian jump systems with interval time-varying delay is investigated. Based on an augmented Lyapunov-Krasovskii functional with triple integral term, partitioning the delay's lower bound and reciprocally convex approach, delay-dependent conditions for the existence of desired controller are achieved. Meanwhile, stability criteria for delayed Markovian jump systems are also provided with less conservativeness and less matrix variables than some recent results. Finally, two simulation examples are given to illustrate the effectiveness of the proposed design method. (c) 2014 Wiley Periodicals, Inc.