时滞系统的鲁棒稳定性与BIBO稳定

BIBO and Robust Stabilization for System with Time-Delay and Nonlinear Perturbations

根据Lyapunov稳定性的理论,研究了非线性扰动多时滞系统的稳定性,利用Lyapunov函数方法并结不等式的技巧分析了系统二次稳定性,运用Gronwall不等式分析了系统在闭环状态下的BIBO稳定,分别得到了系统稳定的充分条件,并且所得的结果推广了文献的有关内容。

The problem of BIBO and robust stabilization for system with time-delay and nonlinear perturbations are dealt with. First by using lyapunov function method, robust stabilization of the system is analyzed. Then, by using Gronwall inequation, the BIBO stabilization is analyzed. Two sufficient conditions for the system are concluded from the research. All the research is on the base of reference [1]. The result of this paper is quite different to the results of reference.