Exponential mean-square stability of time-delay singular systems with Markovian switching and nonlinear perturbations

• DOI: 10.1016/j.amc.2012.08.067
• Publication Date: 2012-09-17T21:30:22Z
• Authors: Yucai Ding; Hong Zhu; Shouming Zhong; Yong Zeng
• Keywords: Mean square; Linear matrix inequality

Abstract This paper considers exponential stability in mean-square of singular Markovian jump systems. The systems under consideration involve nonlinear perturbation and time-varying delays. By using the Lyapunov–Krasovskii functional, delay-dependent stability conditions in terms of linear matrix inequality (LMI) are addressed, which guarantee exponential mean-square stability and a prescribed H ∞ performance index for the considered systems. Two numerical examples are given to illustrate the effectiveness of the proposed main results.