Delay-dependent Stability Criteria for Systems with Multiple Delays

作     者：Wu Min, Zhu Shi-Peng, He Yong School of Information Science and Engineering, Central South University, Changsha 410083,China 

会议名称：《第二十三届中国控制会议》

会议日期：2004年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

关 键 词：delay-dependent criteria stability linear matrix inequality multiple delay. 

摘      要：正 This paper focus on the problem of the delay-dependent stability of linear systems with multiple time-delays. A new method is first presented for the systems with two time-delays, in which some free-weighting matrices are given to express the relationships between the terms in the Leibniz-Newton formula. In addition, the equivalence between the systems with two identical time-delays and the systems with single delay is shown, which overcomes the conservatism of the previous results. Next, a numerical example is used to demonstrate that the criteria given in this paper are effective and are a significant improvement over existing ones. Finally, the basic idea is extended to a system with multiple time delays.