Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837913 | Nonlinear Analysis: Real World Applications | 2011 | 11 Pages |
Abstract
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.
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Authors
Yucai Ding, Shouming Zhong, Wufan Chen,