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Necessary and Sufficient Condition for Global Controllability of a Class of Affine Nonlinear Systems

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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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Authors and Affiliations

  1. Department of Electrical Engineering, Tsinghua University, Beijing, 100084, China

    Yimin Sun, Shengwei Mei & Qiang Lu

Authors
  1. Yimin Sun
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  2. Shengwei Mei
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  3. Qiang Lu
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Corresponding author

Correspondence to Yimin Sun.

Additional information

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.

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Sun, Y., Mei, S. & Lu, Q. Necessary and Sufficient Condition for Global Controllability of a Class of Affine Nonlinear Systems. Jrl Syst Sci & Complex 20, 492–500 (2007). https://doi.org/10.1007/s11424-007-9046-x

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  • DOI: https://doi.org/10.1007/s11424-007-9046-x

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