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On global controllability for a class of polynomial affine nonlinear systems

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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.

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Authors and Affiliations

  1. Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou Guangdong, 510275, China

    Yimin Sun

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  1. Yimin Sun
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Correspondence to Yimin Sun.

Additional information

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.

Yimin SUN received his Ph.D. degree in Operation Research and Control Theory from Academy of Mathematics and Systems Science, Chinese Academy of Sciences in 2005, and M.S. degree in Applied Mathematics from Department of Mathematics, Nanjing University in 2002. He has been with Sun Yat-sen University since 2007 and is currently an associate professor. He was a postdoctoral fellow at Department of Electrical Engineering, Tsinghua University in 2005–2007. His current research interests are nonlinear control systems theory and its applications.

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Sun, Y. On global controllability for a class of polynomial affine nonlinear systems. J. Control Theory Appl. 10, 332–336 (2012). https://doi.org/10.1007/s11768-012-1158-8

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  • DOI: https://doi.org/10.1007/s11768-012-1158-8

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