Global exponential stability of hybrid BAM neural networks with distributed delays and impulse. (Chinese. English summary) Zbl 1240.34360
Summary: By using the Lyapunov functional method, M-matrix theory, the Young inequality technique and some analytic techniques, sufficient conditions are obtained for the global exponential stability of the equilibrium point for a hybrid bidirectional associative memory neural network subject to impulsive state displacements at fixed instants of time. It is shown that, in some cases, the stability criteria can be easily checked.
MSC:
34K20 | Stability theory of functional-differential equations |
34K45 | Functional-differential equations with impulses |
92B20 | Neural networks for/in biological studies, artificial life and related topics |