A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components  

作　　者：Jian-Min Jiao 

机构地区：[1]Department of Mathematics, Baoji University of Arts and Sciences

出　　处：《International Journal of Automation and computing》2013年第1期39-45,共7页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China(No.11071193);Research Foundation of Education Bureau of Shan xi Province(No.11JK0509);Research Foundation of Baoji University of Arts and Sciences(No.ZK11044)

摘　　要：The problem of stability for singular systems with two additive time-varying delay components is investigated. By constructing a simple type of Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms, a delay-dependent stability criterion is established for the considered systems to be regular, impulse free, and stable in terms of linear matrix inequalities （LMIs）. Based on this criterion, some new stability conditions for singular systems with a single delay in a range and regular systems with two additive time-varying delay components are proposed. These developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism. Finally, two numerical examples are employed to illustrate the effectiveness of the obtained theoretical results.The problem of stability for singular systems with two additive time-varying delay components is investigated. By constructing a simple type of Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms, a delay-dependent stability criterion is established for the considered systems to be regular, impulse free, and stable in terms of linear matrix inequalities （LMIs）. Based on this criterion, some new stability conditions for singular systems with a single delay in a range and regular systems with two additive time-varying delay components are proposed. These developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism. Finally, two numerical examples are employed to illustrate the effectiveness of the obtained theoretical results.

关 键 词：Singular systems additive delay components stability Lyapunov-Krasovskii functional linear matrix inequality （LMI） 

分 类 号：O231[理学—运筹学与控制论]