Stochastic faulty actuator-based reliable control for a class of interval time-varying delay systems with Markovian jumping parameters

The paper addresses the problem of a reliable control for interval time-varying delay system with Markovian jumping parameters. A new practical actuator fault model, by assuming that the actuator fault obeys a certain probabilistic distribution, is considered. Delay-dependent conditions for the solvability of these problems are obtained via new parameter-dependent Lyapunov function. The closed-loop systems are stochastically stable not only when all actuators are operational, but also in case of some actuator failures. Numerical examples are given to illustrate the effectiveness of the proposed design method.