Journal
APPLIED MATHEMATICAL MODELLING
Volume 35, Issue 11, Pages 5355-5368Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.04.043
Keywords
Robust stability; Neutral systems; Linear matrix inequality; Lyapunov-Krasovskii functional; Interval time-varying delays; Nonlinear perturbation
Funding
- DST Project, New Delhi India [SR/S4/MS:485/07]
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This paper considers the problem of robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Two type uncertainties such as nonlinear time-varying parameter perturbations and norm-bounded uncertainties have been discussed. Based on the new Lyapunov-Krasovskii functional with triple integral terms, some integral inequalities and convex combination technique, a new delay-dependent stability criterion for the system is established in terms of linear matrix inequalities (LMIs). Finally, four numerical examples are given to illustrate the effectiveness and an improvement over some existing results in the literature with the proposed results. (C) 2011 Elsevier Inc. All rights reserved.
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