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.
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Sun, Y., Guo, L. On global asymptotic controllability of planar affine nonlinear systems. Sci China Ser F 48, 703–712 (2005). https://doi.org/10.1360/122004-114
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DOI: https://doi.org/10.1360/122004-114