具有双输入时滞的网络控制系统稳定性的改进结果

摘要

本文研究具有双输入时滞的网络控制系统的稳定性.本文首先把整个时滞区间划分为三个子区间并构造了一个新的Lyapunov泛函,该泛函可以充分利用所有时滞的信息.然后本文运用Wirtinger不等式得到了网络控制系统全局渐近稳定的充分判据.仿真算例验证了结果的有效性.同已有结果相比,本文的结果的保守性更低.%Stability analysis for a networked control system with two additive input delays is considered . By spitting the w hole delay interval into three subintervals ,a new Lyapunov-Krasovskii functional is constructed ,which can make full use of the information of all the delays .Then ,based on the constructed Lyapunov-Krasovskii functional and using Wirtinger-based inequality ,sufficient conditions are derived to ensure the global asymptotic stability of the networked control system .Finally ,a numerical example is provided to show the effectiveness of the criterion .In comparison with the known results ,the obtained stability criterion is less conservative .