Finite-time stability of switched static neural networks

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Abstract

This paper deals with the finite-time stability problem for switched static neural networks with time-varying delay. Firstly, the concept of finite-time stability is extended to switched static neural networks. Secondly, based on Lyapunov-like functional method, a sufficient criterion is derived, which can guarantee the finite-time stability of the considered systems. Moreover, the obtained conditions can be simplified into linear matrix inequalities conditions for convenient use. Finally, a numerical example is given to show the effectiveness of the proposed results.

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Wu, Y., & Cao, J. (2014). Finite-time stability of switched static neural networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8866, pp. 159–166). Springer Verlag. https://doi.org/10.1007/978-3-319-12436-0_18

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