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Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales

✍ Scribed by Zhengqiu Zhang; Kaiyu Liu

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 486 KB
Volume: 24
Category: Article
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2011.02.001

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✦ Synopsis

In this paper, we first investigate the existence of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales by the continuation theorem of coincidence degree theory. Then, by constructing a Lyapunov functional, we discuss the global exponential stability of the periodic solution for such neural networks on time scales. The paper unifies periodic discrete-time and continuous-time BAM neural networks under the same framework.

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