基于LMI的比例时滞细胞神经网络的全局渐近稳定性

LMI-based approach to global asymptotic stability for cellular neural networks with proportional delays

通过构造合适的Lyapunov泛函及应用线性矩阵不等式,研究一类比例时滞细胞神经网络的全局渐近稳定性,得到系统全局渐近稳定的时滞相关与时滞独立的充分条件.利用数值算例和仿真结果验证了所得结论的正确性.

By constructing appropriate Lyapunov functional and applying linear matrix inequality, the global asymptotic sta- bility for a class of cellular neural networks with proportional delays is studied. The delay-dependent and delay-independent sufficient conditions of global asymptotic stability are obtained. A numerical example and its simulation result are given to verify the correctness of the conclusion.