Global exponential stabilization for a class of distributed parameter control systems with Markovian jumping parameters and time-varying delay

摘要

The global exponential stabilization is considered for a class of distributed parameter control systems with Markovian jumping parameters and time-varying delay. By employing a new Lyapunov-Krasovskii functional, a linear matrix inequality (LMI) approach is developed to establish some easy-to-test criteria for global exponential stabilization in the mean square for the stochastic systems. A numerical example is exploited to show the usefulness of the derived LMI-based stabilization conditions.