考虑了一类具有时变时滞的中立型神经网络. 首先, 利用同胚映射定理, 证明了平衡点的存在唯一性. 其次, 通过构造Lyapunov泛函及利用Lyapunov稳定性理论, 得到了平衡点全局渐近稳定的充分条件. 与已有结论对比表明, 针对某些系统, 所得条件可作为判断其稳定性的依据. 最后, 通过几个数值模拟的例子验证了结论.
In this paper, a class of neutral neural networks with time-varying delays was considered. First, the existence and uniqueness of equilibrium was obtained using the homeomorphic mapping theorem. Next, by constructing the corresponding Lyapunov functional and using Lyapunov stability theory, sufficient conditions for the global asymptotic stability of equilibrium were established. A comparison between our results and the existing results was made, revealing that our results can be used as criteria for judging the stability of some systems. Lastly, several numerical simulations were carried out to illustrate the results.
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中国综合性科技类核心期刊(北大核心)