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Absolute Stability of Nonlinear Systems with Two Additive Time-varying Delay Components 被引量：3

Absolute Stability of Nonlinear Systems with Two Additive Time-varying Delay Components
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摘要 In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities （LMIs）, which can be readily tested by using standard numerical software. We use this new criterion to stabilize a class of nonlinear time-delay systems. Some numerical examples are given to illustrate the applicability of the results using standard numerical software. In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities （LMIs）, which can be readily tested by using standard numerical software. We use this new criterion to stabilize a class of nonlinear time-delay systems. Some numerical examples are given to illustrate the applicability of the results using standard numerical software.
作者 Bassem Ben Hamed Mohamed Chaabane Walid Kacem
机构地区 Higher Institute of Applied Sciences and Technology of Gab`es National Engineering School of Sfax
出处 《International Journal of Automation and computing》 EI 2011年第4期391-402,共12页 国际自动化与计算杂志（英文版）
关键词 Time-varying delay system additive delay absolute stability linear matrix inequalities （LMIs） S-PROCEDURE Lyapunov Krasovskii functional stabilization. Time-varying delay system, additive delay, absolute stability, linear matrix inequalities （LMIs）, S-procedure, Lyapunov Krasovskii functional, stabilization.
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献30

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同被引文献12

  • 1GU Keqin, KHARITONOV Vladimir,CHEN Jie. Stability oftime-delay systems[M]. Boston: Birkhauser, 2003.
  • 2WU Min,He Yong,SHE Jin-Hua. Stability analysis and robust control of time-delay systems [M]. Beijing, China: Science Press,2010.
  • 3LAM James,GAO Hui-Jun,WANG Chang-hong. Stability analysis for continuous systems with two additive time- varying delay components [J]. System and Control Letters, 2007,56( 1 ):16-24.
  • 4GAO Hui-Jun,CHEN Tong-Wen,LAM James. A new delay system approach to network-based control [J]. Automatiea, 2008,44 (1): 39-52.
  • 5ZHAO Li-ying,LIU Kun,LIU He-ping. Delay-dependent stability for systems with two additive time-varying delay components[J]. ACTA Scientiarum Naturalium Universitatts Sunyatsent, 2008,47 ( 1 ):26-28.
  • 6ZHAO Li-ying,LIU Kun,LIU He-ping. Dependent stability of continuous systems with time delay and delay[J]. Control and Strategy, 2008,23 (6):714-720.
  • 7WU Hai-Xia,LIAO Xiao-feng,FENF Wei,et al. Robust stability analysis of uncertain systems with two additive time- varying delay components[J]. Applied Mathematical Modelling, 2009,33 ( 12 ) :219-223.
  • 8XI Li,SOUZA De. Criteria for robust stability and stabilization of uncertain systems with state delays [J]. Automatica, 1997,33(9): 1657-1662.
  • 9XIE Li-Hua. Out feedback control of systems with parameter uncertainty[J]. International Journal of Control, 1996,63 (4): 741-750.
  • 10FANG Mei.Delay-dependent Stability Analysis for Discrete Singular Systems with Time-varying Delays[J].自动化学报,2010,36(5):751-755. 被引量：10

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二级引证文献3

International Journal of Automation and computing
2011年 第4期

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