线性广义时滞系统的无源控制  

Passive control for linear singular systems with delay

作　　者：葛勇勇[1] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《阜阳师范学院学报（自然科学版）》2009年第4期1-3,共3页Journal of Fuyang Normal University(Natural Science)

基　　金：国家自然科学基金项目(10771001)资助;教育部重点项目(205068)和安徽大学创新团队项目资助

摘　　要：研究了线性广义时滞系统无源控制问题,利用广义lyapunov函数和线性矩阵不等式,给出了线性广义时滞系统无源且零解渐近稳定的充分条件,并且在一定条件下给线性广义时滞系统设计了一个状态反馈控制器,使得闭环系统无源且零解渐近稳定.This paper studies the passive control problem for a linear singular system with delay. By means of generalized lyapunov function and linear matrix inequality, a sufficient condition is given so that a prescribed singular system with delay is admissible and passive. More over, under certain conditions, a sufficient condition is provided for the existence of admissible and passive, the design method for such static state feed back controller is also given.

关 键 词：线性广义时滞系统 无源控制 状态反馈 线性矩阵不等式 零解渐近稳定 

分 类 号：O175.13[理学—数学]