| ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS |
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| 作者姓名： | 刘斌 刘新芝 廖晓昕 |
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| 作者单位： | [1]DepartmentofInformationandComputationScience,ZhuzhouInstituteofTechnology,Zhuzhou412008,China／／DepartmentofControlScienceandEngineeringHuazhongUniversityofScienceandTechnology,Wuhan430074,China [2]DepartmentofControlScienceandEngineeringHuazhongUniversityofScienceandTechnology,Wuhan430074,China／／DepartmentofAppliedMathematics,UniversityofWaterloo,Waterloo,OntarioN2L3G1,Canada [3]DepartmentofControlScienceandEngineeringHuazhongUniversityofScienceandTechnology,Wuhan430074,China |
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| 基金项目： | 国家自然科学基金，Post Doctoral Foundation of China |
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| 摘 要： | By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory.
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| 关 键 词： | 强全局展开稳定性 不确定脉冲系统 区间矩阵 汉密尔顿-雅可比不等式 |
| 收稿时间： | 22 April 2002 |
ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS |
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| Liu Bin,Liu Xinzhi,Liao Xiaoxin.ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS[J].Acta Mathematica Scientia,2005,25(1):161-169. |
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| Authors: | Liu Bin Liu Xinzhi Liao Xiaoxin |
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| Affiliation: | 1. School of Mathematics and Computation Sciences, Hunan City University, Yiyang, 413000, China;2. Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences, Guangxi University for Nationalities, Nanning, 530006, Guangxi Province, PR China |
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| Abstract: | By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory. |
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| Keywords: | Uncertain impulsive system interval matrix Riccati/Hamilton-Jacobi inequality global exponential stability robust global exponential stability |
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