Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations |
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Authors: | R RakkiyappanP Balasubramaniam R Krishnasamy |
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Institution: | Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamilnadu, India |
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Abstract: | 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. |
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Keywords: | Linear matrix inequality Lyapunov-Krasovskii functional Neutral systems Nonlinear perturbation |
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