Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays

Authors:
Hongjun Xiang;Jinde Cao
Affiliations:
Department of Mathematics, Southeast University, Nanjing 210096, China and Department of Mathematics, Xiangnan University, Chenzhou 423000, China;Department of Mathematics, Southeast University, Nanjing 210096, China
Venue:
Neurocomputing
Year:
2009

Citing 15
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Abstract

Periodic solutions can represent various storage patterns or memory patterns in some applications. In this paper, the existence and global exponential stability of periodic solution are discussed for the Cohen-Grossberg-type bidirectional associative memory (BAM) neural networks with time-varying delays. By applying the analysis method and inequality technique, some novel sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and exponential stability of the periodic solution to the considered system. Moreover, two examples are also given to demonstrate the feasibility of the obtained results.