具有时滞的不确定鲁里叶控制系统的绝对鲁棒稳定性(英文)

Robust Stability for Uncertain Lurie Control Systems with Time-Delay

中文关键词  时滞  不确定性  鲁棒绝对稳定性  鲁里叶控制系统

英文关键词  time delay  uncertainty  robust absolute stability  Lurie control system

中文摘要

      讨论了具有时滞的非线性不确定鲁里叶控制系统的鲁棒绝对稳定性问题. 应用Bellman Gronwell不等式和Lyapunov泛函方法研究了不确定鲁里叶控制系统的鲁棒绝对稳定性并给出了系统时滞相关稳定和时滞无关稳定的充分判据. 运用这些条件可以直接估计具有时滞的非线性不确定鲁里叶控制系统的鲁棒绝对稳定界和时滞界.

英文摘要

      This paper deals with the problem of robust absolute stability for uncertain nonlinear Lurie control systems with time delay. The well known Bellman Gronwel inequality and the Lyapunov functional are used to study the robust absolute stability of Lurie control systems with time delay, and the criteria for both delay dependent and delay independent stability are obtained. By using these conditions, one can estimate the robust absolute stability bound and the delay bound of uncertain nonlinear Lurie control systems with time delay directly.