| TECHNICAL STABILITY OF NONLINEAR TIME-VARYING SYSTEMS WITH SMALL PARAMETERS |
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| 作者姓名： | 楚天广 王照林 |
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| 作者单位： | 1 Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P R China; 2 Department of Engineering Mechanics，Tsinghua University，Beijing 100084，P R China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (1 9872 0 0 5 )，theResearch
FundfortheDoctoralProgramofHigherEducation (970 0 0 1 3 |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＳｔａｂｉｌｉｔｙｐｒｏｂｌｅｍｓａｒｉｓｉｎｇｆｒｏｍｅｎｇｉｎｅｅｒｉｎｇａｐｐｌｉｃａｔｉｏｎｓａｒｅｕｓｕａｌｌｙｒｅｌａｔｅｄｔｏｃｅｒｔａｉｎｑｕａｎｔｉｔｉｅｓｔｈａｔｓｐｅｃｉｆｙｔｈｅｓｔｒｅｎｇｔｈｏｆａｄｍｉｓｓｉｂｌｅｄｉｓｔｕｒｂａｎｃｅｓａｎｄｔｈｅｌｉｍｉｔｓｏｎｄｅｖｉａｔｉｏｎｓｏｆｍｏｔｉｏｎｏｆｔｈｅｄｉｓｔｕｒｂｅｄｓｙｓｔｅｍ .Ｉｎｔｈｉｓｒｅｇａｒｄ ,ｔｈｅｃｏｎｖｅｎｔｉｏｎａｌＬｉａｐｕｎｏｖｓｔａｂｉｌｉｔｙｃｏｎｃｅｐｔ…
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| 收稿时间： | 3 August 1999 |
Technical stability of nonlinear time-varying systems with small parameters |
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| Chu Tian-guang Associate Professor, Doctor,Wang Zhao-lin Professor, Doctor Director.TECHNICAL STABILITY OF NONLINEAR TIME-VARYING SYSTEMS WITH SMALL PARAMETERS[J].Applied Mathematics and Mechanics(English Edition),2000,21(11):1264-1271. |
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| Authors: | Chu Tian-guang Associate Professor Doctor Wang Zhao-lin Professor Doctor Director |
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| Institution: | (1) Department of Mechanics and Engineering Science, Peking University, 100871 Beijing, P R China;(2) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, P R China |
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| Abstract: | Technical stability allowing quantitative estimation of trajectory behavior of a dynamical system over a given time interval was considered. Based on a differential comparison principle and a basic monotonicity condition, technical stability relative to certain prescribed state constraint sets of a class of nonlinear time_varying systems with small parameters was analyzed by means of vector Liapunov function method. Explicit criteria of technical stability are established in terms of coefficients of the system under consideration. Conditions under which the technical stability of the system can be derived from its reduced linear time_varying (LTV) system were further examined, as well as a condition for linearization approach to technical stability of general nonlinear systems. Also, a simple algebraic condition of exponential asymptotic stability of LTV systems is presented. Two illustrative examples are given to demonstrate the availability of the presently proposed method. |
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| Keywords: | nonlinear time_varying system small parameter technical stability vector comparison principle reduced system linearization technique exponential asymptotic stabili |
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