Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations

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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.

论文关键词:Linear matrix inequality,Lyapunov–Krasovskii functional,Neutral systems,Nonlinear perturbation

论文评审过程:Received 25 August 2009, Revised 31 August 2010, Available online 20 October 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.10.011