微分代数系统稳定性及镇定新判据  

A New Way for Stability and Stabilization of Differential-algebraic Systems Systems

作　　者：李剑[1] 全新[1] 张庆灵[1] 

机构地区：[1]东北大学系统科学研究所,沈阳辽宁110004

出　　处：《大学数学》2013年第2期38-42,共5页College Mathematics

摘　　要：本文利用矩阵迹不等式讨论了微分代数系统的稳定性,并给出了微分代数系统容许的充分条件.提出了用此方法设计状态反馈控制器使微分代数系统容许的新方法,并设计了矩阵迹不等式组的计算机求解程序,并用例子说明了主要定理的有效性.This paper addresses the problem of Stability and Stabilization of differential-algebraic Systems. Our approach is based on the trace inequality theory of matrix, a new sufficient condition for admissibility of differential- algebraic systems is obtained. The example and computer programs show that the approach which use the state-feedback to make the differential-algebraic systems admissible is feasible.

关 键 词：矩阵迹 无脉冲 微分代数系统 广义逆矩阵 

分 类 号：O151.21[理学—数学]