| NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS |
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| 作者姓名： | Yimin SUN Shengwei MEI Qiang LU |
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| 作者单位： | Department of Electrical Engineering, Tsinghua University, Beijing 100084, China |
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| 基金项目： | The research was supported by the National Natural Science Foundation of China under Grant No. 50525721, 60221301, and 60334040, and China Postdoctoral Science Foundation under Grant No. 20060390470. Acknowledgment The authors would like to thank Prof. Lei GUO for his very valuable discussions and suggestions. |
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| 摘 要： |
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| 关 键 词： | 仿射非线性系统 整体可控性 向量领域 三角形块状构造 |
| 收稿时间： | 2006-09-18 |
| 修稿时间： | 2007-07-03 |
Necessary and Sufficient Condition for Global Controllability of a Class of Affine Nonlinear Systems |
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| Yimin SUN Shengwei MEI Qiang LU.NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS[J].Journal of Systems Science and Complexity,2007,20(4):492-500. |
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| Authors: | Yimin Sun Shengwei Mei Qiang Lu |
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| Institution: | (1) Department of Electrical Engineering, Tsinghua University, Beijing, 100084, China |
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| Abstract: | In this paper, we investigate the global controllability of a class of n-dimensional affine nonlinear systems with n- 1 controls and constant control matrix. A necessary and sufficient condition for its global controllability has been obtained by using the methods recently developed. Furthermore, we generalize the above result to a class of affine nonlinear systems with a block-triangular-like structure. Finally, we will give three examples to show the applications of our results. |
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| Keywords: | Affine nonlinear systems block-triangular-like structure global controllability vector field |
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