| ROBUST STABILITY WITH GUARANTEEING COST FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR PERTURBATION |
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| 引用本文： | JIAXinchun ZHENGNanning LIUYuehu. ROBUST STABILITY WITH GUARANTEEING COST FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR PERTURBATION[J]. 系统科学与复杂性, 2005, 18(3): 302-308 |
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| 作者姓名： | JIAXinchun ZHENGNanning LIUYuehu |
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| 作者单位： | [1]InstituteofArtificialIntelligenceandRobotics,Xi＇anJiaotongUniversity,Xi＇an710049,China [2]DepartmentofMathematics,ShanxiUniversity,Taiyuan030006,China／／InstituteofArtificialIntelligenceandRobotics,Xi＇anJiaotongUniversity,Xi＇an710049,China |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China(Grant No. 60024301) Natural Science Fund of Shanxi Province, China(Grant No. 20051032). |
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| 摘 要： | The problems of robust stability and robust stability with a guaranteeing cost for discrete time-delay systems with nonlinear perturbation are discussed. A sufficient criterion for robust stability is established in an LMI framework and a linear convex optimization problem with LMI constraints for computing maximal perturbation bound is proposed. Meanwhile, a sufficient criterion for robust stability with a guaranteeing cost for such systems is obtained, and an optimal procedure for decreasing the value of guaranteeing cost is put forward. Two examples are used to illustrate the efficiency of the results.
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| 关 键 词： | 离散延时系统 非线性扰动 稳定性 LMI框架 |
ROBUST STABILITY WITH GUARANTEEING COST FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR PERTURBATION |
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| JIA Xinchun. ROBUST STABILITY WITH GUARANTEEING COST FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR PERTURBATION[J]. Journal of Systems Science and Complexity, 2005, 18(3): 302-308 |
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| Authors: | JIA Xinchun |
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| Abstract: | The problems of robust stability and robust stability with a guaranteeing cost for discrete time-delay systems with nonlinear perturbation are discussed. A sufficient criterion for robust stability is established in an LMI framework and a linear convex optimization problem with LMI constraints for computing maximal perturbation bound is proposed. Meanwhile, a sufficient criterion for robust stability with a guaranteeing cost for such systems is obtained, and an optimal procedure for decreasing the value of guaranteeing cost is put forward. Two examples are used to illustrate the efficiency of the results. |
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| Keywords: | Robust stability discrete time-delay system non-linear perturbation guaranteeing cost LMI approach. |
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