Journal of Applied Mathematics
Volume 2013 (2013), Article ID 716172, 12 pages
Research Article

Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays

Department of Applied Mathematics, Yanshan University, Qinhuangdao 066004, China

Received 28 January 2013; Accepted 8 April 2013

Academic Editor: Maoan Han

Copyright © 2013 Huaiqin Wu and Luying Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.