Abstract
This paper deals with the asymptotic stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Based on the Lyapunov–Krasovskii functional including the triple integral terms and free weighting matrices approach, a novel delay-decomposition stability criterion is obtained. The main idea of the proposed method is to divide each delay interval into two equal segments. Then, the Lyapunov–Krasovskii functional is used to split the bounds of integral terms of each subinterval. In order to reduce the stability criterion conservatism, delay-dependent sufficient conditions are performed in terms of Linear Matrix Inequalities (LMIs) technique. Finally, numerical simulations are given to show the effectiveness of the proposed stability approach.
Highlights
Neutral time-delay appears in many fields of sciences and engineering, including neural networks, industrial, economy, chemical processes and population models
In [7], new less conservative robust stability criteria of neutral systems with mixed time-varying delays and nonlinear perturbations are derived by using the delay method
This paper considers the nonlinear neutral systems with mixed time-varying delays of Equation (1): www.ijacsa.thesai.org (IJACSA) International Journal of Advanced Computer Science and Applications, Vol 7, No 5, 2016
Summary
Neutral time-delay appears in many fields of sciences and engineering, including neural networks, industrial, economy, chemical processes and population models. Amri et al have been studied a delay-dependent exponential stability condition for nonlinear neutral systems with mixed delays They employ a delay-decomposition approach and the known free weighting matrices method.In [3], novel delay-decomposition condition of neutral systems with time-varying delays is proposed and new stability results were derived. The problem of the delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations has been studied in [6]. In [7], new less conservative robust stability criteria of neutral systems with mixed time-varying delays and nonlinear perturbations are derived by using the delay method. The problem of asymptotical delaydecomposition stability for nonlinear neutral systems with mixed time-varying delays is investigated.
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