Global asymptotic stability of complex-valued neural networks with additive time-varying delays |
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Authors: | K. Subramanian P. Muthukumar |
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Affiliation: | 1.Department of Mathematics,The Gandhigram Rural Institute - Deemed University,Gandhigram,India |
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Abstract: | In this paper, we extensively study the global asymptotic stability problem of complex-valued neural networks with leakage delay and additive time-varying delays. By constructing a suitable Lyapunov–Krasovskii functional and applying newly developed complex valued integral inequalities, sufficient conditions for the global asymptotic stability of proposed neural networks are established in the form of complex-valued linear matrix inequalities. This linear matrix inequalities are efficiently solved by using standard available numerical packages. Finally, three numerical examples are given to demonstrate the effectiveness of the theoretical results. |
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