Leakage-delay-dependent stability analysis of Markovian jumping linear systems with time-varying delays and nonlinear perturbations

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• 作者：R. Rakkiyappan ; ^a ; ^{rakkigru@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; S. Lakshmanan^b ; R. Sivasamy^a ; C.P. Lim^b
• 关键词：Leakage time-varying delay ; Nonlinear perturbations ; Linear matrix inequality
• 刊名：Applied Mathematical Modelling
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：40
• 期：7-8
• 页码：5026-5043
• 全文大小：991 K

文摘

This study is concerned with the problem of leakage-delay-dependent stability analysis of Markovian jumping linear systems with time-varying delays and nonlinear perturbations. Mixed time-varying delays, which include leakage, discrete, and distributed delays, pertaining to the proposed system are addressed. Based on an improved Lyapunov–Krasovskii functional with triple integral terms and by employing the model transformation technique and the reciprocal convex method, the sufficient conditions for the delay-dependent stability of the considered system are derived. Moreover, the sufficient conditions obtained are formulated in terms of linear matrix inequalities to achieve the global asymptotical stability in mean square of the considered delayed system. Finally, numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results.