### Abstract

The controllability theory may at times lead to a control law as can be seen in the control theory literature. In this paper, a global control algorithm is proposed for nonlinear systems in the sc-called linear-analytic form in the plane. The algorithm is motivated by a theorem by Hunt, which gives sufficient conditions for the global controllability of linear-analytic systems on a 2-dimensional manifold. It is verified that the algorithm is globally convergent under the given assumptions. A computational form of the algorithm is presented. Some computational aspects are also discussed.

Original language | English |
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Pages (from-to) | 377-385 |

Journal | Dynamics and Control |

Volume | 8 |

DOIs | |

Publication status | Published - 1998 |

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## Cite this

Kaya, C. Y., & Noakes, L. (1998). A global control algorithm in the plane.

*Dynamics and Control*,*8*, 377-385. https://doi.org/10.1023/A:1008260712034