A LMI-Based Approach for Robust Stabilization of Uncertain Linear Continuous Time Singular Markov Switched Systems with Time Delays

The stability and stabilization of linear continuous time singular Markov switched systems with time delay are investigated. Based on the linear matrix inequality method (LMIs), the robust stability of uncertain linear stochastic delay system is guaranteed irrespective of the value of the time delay. Then the proposed theory can be extended to discuss the robust stabilization of uncertain stochastic differential delay systems. The gains of this controller are the solution of some linear matrix inequalities. Final numerical example is solved to show the effectiveness and validness of the theoretical results.