Homogeneous Polynomial Lyapunov Functional for Stability Analysis of Systems with Delays
作者单位：IEEE College of Electrical and Information Engineering Southwest Minzu University Department of Finance Sichuan university Jincheng College
会议名称：《第30届中国控制与决策会议》
会议日期：2018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]
基 金：partially supported by National Nature Science Foundation(61673016,61703353) SWUN Construction Projects for Graduate Degree Programs(2017XWD-S0805) Innovative Research Team of the Education Department of Sichuan Province(15TD0050) Sichuan Youth Science and Technology Innovation Research Team(2017TD0028)
关 键 词：Delays Homogeneous Polynomial Lyapunov functional Kronecker Product Stability
摘 要：This paper addresses the stability problem of dynamic systems with delays. A new type of Lyapunov functional is proposed and an asymptotic stability criterion is established. A numerical example shows that the presented theoretical result is effective, especially when the upper bounds of derivative of delays are relatively large.