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2013 Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays
Huaiqin Wu, Luying Zhang
J. Appl. Math. 2013: 1-12 (2013). DOI: 10.1155/2013/716172

Abstract

This paper is concerned with the dynamical stability analysis for almost periodic solution of memristive neural networks with time-varying delays. Under the framework of Filippov solutions, by applying the inequality analysis techniques, the existence and asymptotically almost periodic behavior of solutions are discussed. Based on the differential inclusions theory and Lyapunov functional approach, the stability issues of almost periodic solution are investigated, and a sufficient condition for the existence, uniqueness, and global exponential stability of the almost periodic solution is established. Moreover, as a special case, the condition which ensures the global exponential stability of a unique periodic solution is also presented for the considered memristive neural networks. Two examples are given to illustrate the validity of the theoretical results.

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Huaiqin Wu. Luying Zhang. "Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays." J. Appl. Math. 2013 1 - 12, 2013. https://doi.org/10.1155/2013/716172

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.92004
MathSciNet: MR3049440
Digital Object Identifier: 10.1155/2013/716172

Rights: Copyright © 2013 Hindawi

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