New robust delay-dependent stability and H-infinity analysis for uncertain Markovian jump systems with time-varying delays

作者：Zhao Xudong^*; Zeng Qingshuang

来源：Journal of the Franklin Institute, 2010, 347(5): 863-874.

DOI：10.1016/j.jfranklin.2010.03.009

• Delay-dependent stability
• Markovian jump systems
• Time-varying delay
• H-infinity performance
• Norm-bounded parameter uncertainties

This paper deals with the problems of robust delay-dependent stability and H-infinity analysis for Markovian jump linear systems with norm-bounded parameter uncertainties and time-varying delays. In terms of linear matrix inequalities, an improved delay-range-dependent stability condition for Markovian jump systems is proposed by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay, and a sufficient condition is derived from the H-infinity performance. Numerical examples are provided to demonstrate efficiency and reduced conservatism of the results in this paper.

• 出版日期2010-6
• 单位哈尔滨工业大学