一类具多比例时滞细胞神经网络的全局指数稳定性

Global exponential stability of a class of cellular neural networks with multi-proportional delays

通过构造合适的Lyapunov泛函和运用Halanay时滞不等式,讨论一类具多比例时滞细胞神经网络的全局指数稳定性,得到了判定该系统平衡点全局指数稳定的一个时滞独立的充分条件.通过数值算例和仿真结果验证了所得结论的有效性.

Global exponential stability of a class of cellular neural networks with multi-proportional delays is studied. The sufficient conditions of global exponential stability of the equilibrium of system are obtained by constructing suitable Lyapunov functional and Halanay delay inequality. An example is given to illustrate the effectiveness of the result.