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A novel criterion for global asymptotic stability of BAM neural networks with time delays. (English) Zbl 1121.92006
Summary: A delay-differential equation modelling a bidirectional associative memory (BAM) neural networks is investigated. An asymptotic stability of the BAM neural networks with time delays is considered by constructing a new suitable Lyapunov functional and some matrix inequality techniques. A novel delay-dependent stability criterion is given in terms of matrix inequalities, which can be solved easily by optimization algorithms.
MSC:
92B20General theory of neural networks (mathematical biology)
34K20Stability theory of functional-differential equations
34K60Qualitative investigation and simulation of models