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Zbl 1218.93078
Ding, Yucai; Zhong, Shouming; Chen, Wufan
A delay-range-dependent uniformly asymptotic stability criterion for a class of nonlinear singular systems. (English)
[J] Nonlinear Anal., Real World Appl. 12, No. 2, 1152-1162 (2011). ISSN 1468-1218

Summary: 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 provided, 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 useful in the study of nonlinear singular systems.

MSC 2000:: *93D20 Asymptotic stability of control systems
93C10 Nonlinear control systems
93C15 Control systems governed by ODE
34B16 Singular nonlinear boundary value problems

Keywords: nonlinear singular system; time-varying delay; uniformly asymptotic stability; Lyapunov functional; linear matrix inequality

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