New results on stabilization of Markovian jump systems with time delay

• DOI: 10.1016/j.automatica.2009.06.020
• Publication Date: 2009-08-04T08:28:58Z
• Authors: Zhongyang Fei; Huijun Gao; Peng Shi
• Keywords: 0209 industrial biotechnology; 330; Institute for Logistics and Supply Chain Management (ILSCM); Markovian jump systems; Linear matrix inequality (LMI); 02 engineering and technology; time delay; Stabilization; Stochastic stability; stabilization; 510; 0906 Electrical and Electronic Engineering; stochastic stability; 970109 Expanding Knowledge in Engineering; linear matrix inequality (LMI); Time delay; ResPubID17663

This paper studies the problem of stochastic stabilization for a class of Markovian jump systems with time delay. A new delay-dependent stochastic stability criterion on the stochastic stability of the system is derived based on a novel Lyapunov-Krasovskii functional (LKF) approach. The equivalence and superiority to existing results are demonstrated. Then a state feedback controller, which guarantees the stochastic stability of the closed-loop system, is designed. Illustrative examples are provided to show the reduced conservatism and effectiveness of the proposed techniques.