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On global asymptotic controllability of planar affine nonlinear systems |
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| Authors: | Sun?Yimin,Guo?Lei? mailto:Lguo@amss.ac.cn" title=" Lguo@amss.ac.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | In this paper, we present a necessary and sufficient condition for globally asymptotic controllability of the general planar affine nonlinear systems with single-input. This result is obtained by introducing a new method in the analysis, which is based on the use of some basic results in planar topology and in the geometric theory of ordinary differential equations. |
| Keywords: | affine nonlinear system globally asymptotic controllability stabilization vector field Jordan curve theorem control curve. |
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