A delay-range-dependent uniformly asymptotic stability criterion for a class of nonlinear singular systems

作者：Ding, Yucai^*; Zhong, Shouming; Chen, Wufan

来源：Nonlinear Analysis: Real World Applications , 2011, 12(2): 1152-1162.

DOI：10.1016/j.nonrwa.2010.09.009

• Nonlinear singular system
• Time-varying delay
• Uniformly asymptotic stability
• Lyapunov functional
• Linear matrix inequality

This paper investigates a class of nonlinear singular systems. Based on the Lyapunov functional method and the free-weighting matrix method, a uniformly asymptotic stability criterion in terms of only one simple linear matrix inequality (LMI) is addressed, which guarantees stability for such time-varying delay systems. This LMI can be easily solved by convex optimization techniques. Two examples are given to illustrate the effectiveness of the proposed main results. All these results are expected to be of use in the study of nonlinear singular systems.

• 出版日期2011-4
• 单位电子科技大学