| GEOMETRIC FRAMEWORK AND MINIMAL REALIZATIONS OF NONLINEAR SYSTEMS ON FIBRE BUNDLE |
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| 引用本文： | 慕小武.GEOMETRIC FRAMEWORK AND MINIMAL REALIZATIONS OF NONLINEAR SYSTEMS ON FIBRE BUNDLE[J].应用数学和力学(英文版),1996,17(10):999-1008. |
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| 作者姓名： | 慕小武 |
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| 作者单位： | Department of Mathematics，Zhengzhou University.Zhengzhou 450052. P. R. China |
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| 摘 要： | ＧＥＯＭＥＴＲＩＣＦＲＡＭＥＷＯＲＫＡＮＤＭＩＮＩＭＡＬＲＥＡＬＩＺＡＴＩＯＮＳＯＦＮＯＮＬＩＮＥＡＲＳＹＳＴＥＭＳＯＮＦＩＢＲＥＢＵＮＤＬＥＭｕＸｉａｏｗｕ（慕小武）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＺｈｅｎｇｚｈｏｕＵｎｉｖｅｒｓ...
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| 收稿时间： | 30 March 1996 |
Geometric framework and minimal realizations of nonlinear systems on fibre bundle |
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| Mu Xiaowu.Geometric framework and minimal realizations of nonlinear systems on fibre bundle[J].Applied Mathematics and Mechanics(English Edition),1996,17(10):999-1008. |
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| Authors: | Mu Xiaowu |
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| Institution: | (1) Department of Mathematics, Zhengzhou University, 450052 Zhengzhou, P. R. China |
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| Abstract: | The definition of nonlinear control sysms on fibre bundles proposed by Brockett and Willems is incomplete from the mathematical view geometric framework is proposed and a minimal realization theory is developed for nonlinear control systems on fibre bundles which is elaborated as a natural generalization of Sussmann's theory and differs essentially from Van der Schaft's approach. Limitations of realization theory given by Van der Schaft are also discussed. |
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| Keywords: | fibre bundle controllability observability minimality |
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