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An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays. (English) Zbl 1209.92001

Summary: In this letter, several sufficient conditions are derived for the existence and uniqueness of periodic oscillatory solutions for bi-directional associative memory (BAM) networks with time-varying delays by employing a new Lyapunov functional and an elementary inequality, where all other solutions of the BAM networks converge exponentially to the unique periodic solution. These criteria are presented in terms of system parameters and have important leading significance in the design and applications of periodic neural circuits for delayed BAM. As an illustration, two numerical examples are worked out using the results obtained.

MSC:

92B20 Neural networks for/in biological studies, artificial life and related topics
68T05 Learning and adaptive systems in artificial intelligence
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