Letters: Global exponential stability of delayed BAM network on time scale

Authors:
Anping Chen;Dejun Du
Affiliations:
School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411005, China and Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, China;School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411005, China
Venue:
Neurocomputing
Year:
2008

Citing 10
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Abstract

Some sufficient conditions are derived to ensure the global exponential stability of delayed bi-directional associative memory (BAM) neural network on time scale, using the time scale calculus theory and the Liapunov functional method. The conditions possess highly important significance and can be easily checked in practice by simple algebraic methods. This is the first time applying the time scale calculus theory to unify and improve discrete-time and continuous-time bi-directional associate memory neural network under the same framework.