一类具有时滞的不确定双线性系统的Robust镇定

Robust Stabilization for a Class of Uncertain Bilinear Systems with Time-Delay

中文关键词  不确定双线性系统  时滞  Robust稳定性  矩阵测度  比较原理

英文关键词  uncertain bilinear systems  time-delay  robust stability  matrix measure  comparison principle

中文摘要

      本文给出了一类既有结构摄动又有状态时滞的双线性系统的Robust镇定的充分条件。基于矩阵测度的概念，本文将高维系统的渐近Robust稳定性问题转化为一维情形，以使本文的主要问题易于处理。在证明主要定理时，本文采用了比较原理及离散化、归纳法等技巧。最后我们还给出了数值算例以示控制器的设计。

英文摘要

      This paper presents a sufficient condition of robust stabilization of bilinear systems in which both structural perturbations and the states with time-delay are contained. According to the knowledges of the matrix measure, the problem of asymptotically robust stability of the systems with higher dimensions is transformed into that with one dimension. Thus the main result is easily deduced by using comparison principle. Finally the numerical example is given to illustrate the robust controller design procedures.