一类离散时滞系统的脉冲网络控制

Impulsive Network Control of a Class of Discrete Time-Delayed Systems

研究了离散时间时滞系统(DDS)的脉冲网络控制问题,提出了一个DDS的脉冲网络控制方案。在脉冲控制下,DDS变成一个离散时间脉冲混合系统。分别对两起方案(带/不带网络时滞)的脉冲控制信号进行了研究。利用矩阵谱、特征值理论和驻留时间的方法,推导出离散时间脉冲混合系统的全局一致指数稳定性标准,实现了DDS的指数稳定。最后,通过计算出的一个数值仿真实例作说明。

The impulsive network control issue for discrete-time delayed systems （DDS） is investigated, and an impulsive network control scheme for DDS is proposed. Under the impulsive control, the DDS is changed to a discrete-time impulsive hybrid system. The impulsive control signals of two cases （with/without network-induced delay） are studied respectively. By means of matrix spectrum, eigenvalue theory and dwell time, globally uniform exponential stability criteria for the discrete-time impulsive hybrid system are derived, and the DDS exponential stabilization is achieved. Finally, a calculated numerical simulation example is given for illustration.