Delay-dependent robust stability and stabilization for discrete-time switched systems with mode-dependent time-varying delays

作者：Sun Yuan Gong^*; Wang Long; Xie Guangming

来源：Applied Mathematics and Computation, 2006, 180(2): 428-435.

DOI：10.1016/j.amc.2005.12.028

• discrete-time switched system
• linear matrix inequality (LMI)
• delay-dependent criteria
• time-varying delay
• switched Lyapunov functional

In this paper, we consider the problems of robust stability and stabilization via memoryless state feedback for uncertain discrete-time switched systems with mode-dependent time-varying delays. By using a descriptor system method and linear matrix inequality technique, and by introducing a switched Lyapunov functional, we establish some new delay-dependent stability and stabilization criteria for the system. Numerical examples are presented to illustrate the effectiveness of the theoretical results.

• 出版日期2006-9-15
• 单位曲阜师范大学; 北京大学