NEW DELAY-DEPENDENT STABILITY CRITERIA FOR LINEAR TIME-DELAY SYSTEMS WITH TWO ADDITIVE TIME-VARYING DELAY COMPONENTS

摘要：

　　This paper studies the stability problem for linear time-delay systems with two additive time-varying delay components.Based on Lyapunov stability theory and reciprocally convex lemma,a new delay-dependent stability criterion is obtained by considering the relationship between the two time-varying delays and their upper bounds.By using delay-dividing method,a further improved stability criterion is obtained.The obtained criteria are also extended to cope with the stability problem for this type of interval time-varying delay systems.All the obtained criteria are in terms of Linear Matrix Inequalities (LMIs).Finally,a numerical example is given to show the effectiveness of the proposed method.

关键词： Additive time-varying delay Delay-dividing method Interval time-varying delay LMI

作者: Nan Xiao Yingmin Jia

作者单位: The Seventh Research Division and the Department of Systems and Control The Seventh Research Division and the Department of Systems and Control;Key Laboratory of Mathematic

会议类型: 国际会议

会议名称: 2012 2nd IEEE International Conference on Cloud Computing and Intelligence Systems (2012年第2届IEEE云计算与智能系统国际会议(IEEE CCIS2012))

会议地点: 杭州

会议语种:英文

页码: 1743-1748

在线出版日期: 2012-10-30（万方平台首次上网日期，不代表论文的发表时间）