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.
出处
《大学数学》
2013年第2期38-42,共5页
College Mathematics
关键词
矩阵迹
无脉冲
微分代数系统
广义逆矩阵
trace of matrix
impulse-free
differential-algebraic Systems
Generalized Inverse
