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• W2154117805 abstract "In this article, the issue of global stability is discussed for competitive neural networks with time-varying delay and discontinuous activation functions. First, a sufficient criterion is presented towards the existence and global asymptotic stability of an equilibrium point (EP), by employing the Leray–Schauder alternative theorem, linear matrix inequality technique and generalised Lyapunov function method. In particular, for the case where the activation functions are monotonic increasing, the above criterion also ensures the global exponential stability of an EP. Second, based on the properties of M-matrix, topological degree theory of set-valued map and generalised Lyapunov function method, some sufficient conditions are derived for checking the existence and global exponential stability of an EP. In doing so, the viability problem is investigated and the obtained results are delay-dependent and independent of each other. Finally, two examples with simulations are provided to demonstrate the effectiveness of our results." @default.
• W2154117805 created "2016-06-24" @default.
• W2154117805 creator A5017808266 @default.
• W2154117805 creator A5067405953 @default.
• W2154117805 date "2012-03-01" @default.
• W2154117805 modified "2023-09-23" @default.
• W2154117805 title "Existence and global stability of equilibrium point for delayed competitive neural networks with discontinuous activation functions" @default.
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• W2154117805 doi "https://doi.org/10.1080/00207721.2010.503945" @default.
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