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		Yimin SUN.[en_title][J].Control Theory and Technology,2012,10(3):332~336.[Copy]

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YiminSUN
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(Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University)

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Received:July 27, 2011Revised:December 07, 2011

基金项目:This work was supported by the Natural Science Foundation of China (No. 60804008), the Ph.D. Programs Foundation of Ministry of Education of China, and the Fundamental Research Funds for the Central Universities.

On global controllability for a class of polynomial affine nonlinear systems

Yimin SUN

(Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University)

Abstract:

In this paper, a necessary and sufficient condition of the global controllability for a class of low dimensional polynomial affine nonlinear systems with special structure is obtained. The condition is imposed on the coefficients of the system only and the methods are based on Green’s formula and the trajectory analysis of planar linear system. Furthermore, I point out that the global controllability does not hold for the corresponding high dimensional polynomial system.

Key words: Affine nonlinearity Polynomial system Global controllability Green’s Formula