Stability results for stochastic bidirectional associative memory neural networks with multiple discrete and distributed time-varying delays

Abstract

This paper is concerned with the global asymptotic stability of a class of stochastic bidirectional associative memory neural networks with both multiple discrete and distributed time-varying delays. A new criterion of asymptotic stability is derived in terms of linear matrix inequality, which can be efficiently solved by a standard numerical software. An illustrative numerical example is also given to show the applicability and effectiveness of the proposed results.

Keywords:

• Lyapunov functional
• linear matrix inequality
• global asymptotic stability
• stochastic BAM neural networks
• multiple time-varying delays

2000 AMS Subject Classifications :

• 34K20
• 34K50
• 92B20