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Delay-dependent stability of neutral system with mixed time-varying delays and nonlinear perturbations using
Fang Qiu1, Jinde Cao2, Tasawar Hayat3
1Department of Mathematics, Southeast University, Nanjing, 210096 China ; Department of Mathematics, Binzhou University, Shandong, 256603 China.
Abstract:
This paper studies delay-dependent robust stability problem for neutral system with mixed time-varying delays and nonlinear perturbations. Based on the delay-dividing approach, a novel Lyapunov functional is constructed, and a novel delay-dependent stability criterion is derived to guarantee the robust stability of the neutral system. Expressed in terms of linear matrix inequalities, the stability condition can be checked using the numerically efficient Matlab LMI Control Toolbox. Two numerical examples are provided to demonstrate the effectiveness and the reduced conservatism of the analysis result.
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