• Neural Netw · Jun 2011

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

    • Zhengqiu Zhang and Kaiyu Liu.
    • College of Mathematics, Hunan University, Changsha 410082, PR China. zhangzhengqiu@hnu.cn
    • Neural Netw. 2011 Jun 1; 24 (5): 427-39.

    AbstractIn 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.Copyright © 2011 Elsevier Ltd. All rights reserved.

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