随机扰动神经网络的脉冲控制

Impulsive Control of Neural Networks with Random Disturbance

脉冲控制具有响应速度快,鲁棒性和抗干扰能力好的特点,被广泛应用于参数随机扰动的动力学系统的控制.本文研究一类参数随机扰动的变时滞细胞神经网络在脉冲控制下的全局指数稳定性问题.利用Ly印unov稳定性理论和离散Halanay不等式技术手段,分别给出在脉冲控制下,参数随机扰动和无参数扰动的变时滞细胞神经网络全局指数稳定的充分条件.最后,通过数值算例说明所得结果.

Impulsive control has been used extensively in the control of the dynamic systems with random disturbance for their rapid responses, strong robustness and anti- disturbances. This paper investigates global exponential stability problems of a class cellular neural networks with time-varying delays and random disturbance. By means of the Lyapunov stability theory and discrete-time Halanay inequality technique, sufficient conditions for their global exponential stability of cellular neural networks with time-varying delays are derived under impulsive control, including the cases that the parameter is random disturbance and non-disturbance, respectively. Finally, numerical examples are presented to illustrate the obtained results.