New Stability Condition for Linear Systems with Time-Varying Delay

摘要：

Delay-dependent stabilization problem for a class of linear system with interval time-varying delay is studied. A suf.cient condition in terms of linear matrix inequalities (LMIs) is achieved by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay, and then using free-weighting matrix approach and adopting inequalities, the interval delay is dealt with successfully. Compared with former stability analysis approaches, this approach can overcome the defect of finding a common positive de.nite matrix, and reduce conservative greatly. Finally, one simulation example is given to illustrate the effectiveness of the methods.

关键词： Delay partitioning Interval-delay system Stability Linear matrix inequality (LMI).

作者: Yakun Su Bing Chen Weiyi Qian Jing Sun

作者单位: Department of Mathematics, Bohai University, Jinzhou 121000, China Institute of Complexity Science, Qingdao University, Qingdao 266071

会议类型: 国际会议

会议名称: 2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)

会议地点: 四川绵阳

会议语种:英文

页码: 3015-3018

在线出版日期: 2011-05-23（万方平台首次上网日期，不代表论文的发表时间）