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Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wu, Huaiqin& Zhang, Luying. 2013. Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-492877
Modern Language Association (MLA)
Wu, Huaiqin& Zhang, Luying. Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-492877
American Medical Association (AMA)
Wu, Huaiqin& Zhang, Luying. Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-492877
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492877