Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 235, Issue 8, Pages 2147-2156Publisher
ELSEVIER
DOI: 10.1016/j.cam.2010.10.011
Keywords
Linear matrix inequality; Lyapunov-Krasovskii functional; Neutral systems; Nonlinear perturbation
Categories
Funding
- CSIR-SRF [09/715(0013)/2009-EMR-I]
- UGC-SAP (DRS-II), New Delhi, India
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This paper is concerned with the problem of stability of neutral systems with interval time-varying delays and nonlinear perturbations. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. (C) 2010 Elsevier B.V. All rights reserved.
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