A Stability Analysis for a class of Systems with Time-varying Delay
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- 英文论文题名：A Stability Analysis for a class of Systems with Time-varying Delay
- 论文作者：Zixiang Guo ; Xiefu Jiang ; Huaxu Fan ; Qi Yang
- 英文论文作者：Zixiang Guo ; Xiefu Jiang ; Huaxu Fan ; Qi Yang ; School of Automation ; Hangzhou Dianzi University
- 年：2017
- 作者机构：School of Automation,Hangzhou Dianzi University;
- 英文论文关键词：time-varying delay ; integral inequality ; stability criterion ; Lyapunov-Krasovskii functional
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O175
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：4
- 文件大小：108k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, the problem of stabilityfor linear systems with time-varying delays is investigated. Byinequality,Then we obtain a less conservativstability criteria.Finally,The superiority and validity of the propconstructinga suitable augmented Lyapunov-Krasovskii functional andits derivativeisestimatedbyusing Jensen integral osed criteria are verified by comparing maximum delay bounds under various conditions via a numerical example.
In this paper, the problem of stabilityfor linear systems with time-varying delays is investigated. Byinequality,Then we obtain a less conservativstability criteria.Finally,The superiority and validity of the propconstructinga suitable augmented Lyapunov-Krasovskii functional andits derivativeisestimatedbyusing Jensen integral osed criteria are verified by comparing maximum delay bounds under various conditions via a numerical example.
In this paper, the problem of stabilityfor linear systems with time-varying delays is investigated. Byinequality,Then we obtain a less conservativstability criteria.Finally,The superiority and validity of the propconstructinga suitable augmented Lyapunov-Krasovskii functional andits derivativeisestimatedbyusing Jensen integral osed criteria are verified by comparing maximum delay bounds under various conditions via a numerical example.
引文
[1]M.Wu,Y.He,J.H.She,Delay-dependent criteria for robust stability of time-varying delay systems,Automatica,40(8):1435-1439,2004.
[2]C.Y.Kao,B.Lincoln,Simple stability criteria for systems with time-varying delays,Automatica,40(8):1429-1434,2004.
[3]W.I.Lee,S.Y.Lee,P.Park,Improved criteria on robust qstability and performance for linear systems with interval time-varying delays via new triple integral functionals,Applied Mathematics and Computation,243(1):570-577,2014.
[4]Qian W,Li T.Stability analysis for interval time-varying delay systems based on time-varying bound integral method[J].Journal of the Franklin Institute,2014,351:4892–4903.
[5]D.Cheng,On logic-based intelligent systems,in Proceedings of 5th International Conference on Control and Automation,2005:71–75.
[6]D.Cheng,Controllability of switched bilinear systems,IEEE Trans.on Automatic Control,50(4):511–515,2005.
[7]H.Poor,An Introduction to Signal Detection and Estimation.New York:Springer-Verlag,1985,chapter 4.
[8]X.M.Yu,X.M.Wang,S.M.Zhong,Further results on delay-dependent stability for continuous system with two additive time-varying delay components,ISA Iransactions,65:9-18,2016.
[9]H.Y.Shao,Z.Q.Zhang,Delay-dependent state feedback stabilization for a networked control model with two additive input delays,Applied Mathematics and Computation,265:748-758,2015.
[10]B.Smith,An approach to graphs of linear forms,accepted.
[11]D.Cheng,On logic-based intelligent systems,in Proceedings of 5th International Conference on Control and Automation,2005:71–75.
[12]D.Cheng,R.Ortega,and E.Panteley,On port controlled hamiltonian systems,in Advanced Robust and Adaptive Control Theory and Applications,D.Cheng,Y.Sun,T.Shen,and H.Ohmori,Eds.Beijing:Tsinghua University Press,2005:3–16.
[13]H.Y.Shao,Z.Q.Zhang,Control for a networked control model of systems with two additive time-varying delays,Abstract and Applied Analysisl,0(0):1-9,2014.
[14]X.H.Ge,Comments and an improved result on“Stability analysis for continuous system with additive time-varying delays:A less conservative result”,Applied Mathematics and Computation,241(15):42-46,2014.
[15]X.M.Yu,X.M.Wang,S.M.Zhong,Further results on delay-dependent stability for continuous system with two additive time-varying delay components,ISA Iransactions,65:9-18,2016.
[16]Gouaisbaut F,Pe D.Delay-dependent stability analysis of linear time delay systems[C].Toulouse:IFAC workshop on time-delay systems,2006:54-59.
[17]O.M.Kwon,M.J.Park,J.H.Park,Analysis on robust∞H performance and stability for linear systems with interval time-varying state delays via some new augmented Lyapunov-K-rasovskii functional,Applied Mathematics and Computation,224(0):108-122,2013.
[18]Ar sh F.Improved stabilization method for networked control systems with variable transmission delays and packet dropout[J].ISA Transactions,2014,53(6):1746-17
[19]Zhang X,Gong C.Further Improvement of Wirtinger-based Integral Inequality for Systems With Time-varying Delay[J].Proceedings of the 34th Chinese Control Conference,2015.
[20]Yang F S,Zhang H G.An enhanced input-delay approach to sampled-data stabilization of T–S fuzzy systems via mixed convex combination[J].Nonlinear Dyn,2014,75:501–512.
[21]Liu P L.Improved delay-range-dependent robust stability for uncertain systems with interval time-varying delay[J].ISA Transaction,2014,53:1731-1738.
[22]J.P.Richard,Time-delay systems:an overview of some recent advances and open problems,Automatica,39(10):1667-1694,2003.
[23]O.M.Kwon,M.J.Park,S.M.Lee,Augmented LyapunovKrasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays,Fuzzy Sets and Systems,201(1):1-19,2012.
[2]C.Y.Kao,B.Lincoln,Simple stability criteria for systems with time-varying delays,Automatica,40(8):1429-1434,2004.
[3]W.I.Lee,S.Y.Lee,P.Park,Improved criteria on robust qstability and performance for linear systems with interval time-varying delays via new triple integral functionals,Applied Mathematics and Computation,243(1):570-577,2014.
[4]Qian W,Li T.Stability analysis for interval time-varying delay systems based on time-varying bound integral method[J].Journal of the Franklin Institute,2014,351:4892–4903.
[5]D.Cheng,On logic-based intelligent systems,in Proceedings of 5th International Conference on Control and Automation,2005:71–75.
[6]D.Cheng,Controllability of switched bilinear systems,IEEE Trans.on Automatic Control,50(4):511–515,2005.
[7]H.Poor,An Introduction to Signal Detection and Estimation.New York:Springer-Verlag,1985,chapter 4.
[8]X.M.Yu,X.M.Wang,S.M.Zhong,Further results on delay-dependent stability for continuous system with two additive time-varying delay components,ISA Iransactions,65:9-18,2016.
[9]H.Y.Shao,Z.Q.Zhang,Delay-dependent state feedback stabilization for a networked control model with two additive input delays,Applied Mathematics and Computation,265:748-758,2015.
[10]B.Smith,An approach to graphs of linear forms,accepted.
[11]D.Cheng,On logic-based intelligent systems,in Proceedings of 5th International Conference on Control and Automation,2005:71–75.
[12]D.Cheng,R.Ortega,and E.Panteley,On port controlled hamiltonian systems,in Advanced Robust and Adaptive Control Theory and Applications,D.Cheng,Y.Sun,T.Shen,and H.Ohmori,Eds.Beijing:Tsinghua University Press,2005:3–16.
[13]H.Y.Shao,Z.Q.Zhang,Control for a networked control model of systems with two additive time-varying delays,Abstract and Applied Analysisl,0(0):1-9,2014.
[14]X.H.Ge,Comments and an improved result on“Stability analysis for continuous system with additive time-varying delays:A less conservative result”,Applied Mathematics and Computation,241(15):42-46,2014.
[15]X.M.Yu,X.M.Wang,S.M.Zhong,Further results on delay-dependent stability for continuous system with two additive time-varying delay components,ISA Iransactions,65:9-18,2016.
[16]Gouaisbaut F,Pe D.Delay-dependent stability analysis of linear time delay systems[C].Toulouse:IFAC workshop on time-delay systems,2006:54-59.
[17]O.M.Kwon,M.J.Park,J.H.Park,Analysis on robust∞H performance and stability for linear systems with interval time-varying state delays via some new augmented Lyapunov-K-rasovskii functional,Applied Mathematics and Computation,224(0):108-122,2013.
[18]Ar sh F.Improved stabilization method for networked control systems with variable transmission delays and packet dropout[J].ISA Transactions,2014,53(6):1746-17
[19]Zhang X,Gong C.Further Improvement of Wirtinger-based Integral Inequality for Systems With Time-varying Delay[J].Proceedings of the 34th Chinese Control Conference,2015.
[20]Yang F S,Zhang H G.An enhanced input-delay approach to sampled-data stabilization of T–S fuzzy systems via mixed convex combination[J].Nonlinear Dyn,2014,75:501–512.
[21]Liu P L.Improved delay-range-dependent robust stability for uncertain systems with interval time-varying delay[J].ISA Transaction,2014,53:1731-1738.
[22]J.P.Richard,Time-delay systems:an overview of some recent advances and open problems,Automatica,39(10):1667-1694,2003.
[23]O.M.Kwon,M.J.Park,S.M.Lee,Augmented LyapunovKrasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays,Fuzzy Sets and Systems,201(1):1-19,2012.