### Abstract

Original language | Undefined |
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Title of host publication | 31st IEEE Conference on Decision and Control |

Place of Publication | Tucson, Arizona |

Publisher | IEEE |

Pages | 90-95 |

Number of pages | 0 |

Publication status | Published - 16 Dec 1992 |

Event | 31st IEEE Conference on Decision and Control, CDC 1992 - Westin La Paloma, Tucson, United States Duration: 16 Dec 1992 → 18 Dec 1992 Conference number: 31 |

### Publication series

Name | |
---|---|

Publisher | IEEE |

Volume | 1 |

### Conference

Conference | 31st IEEE Conference on Decision and Control, CDC 1992 |
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Abbreviated title | CDC |

Country | United States |

City | Tucson |

Period | 16/12/92 → 18/12/92 |

### Keywords

- METIS-141523
- IR-30882

### Cite this

*31st IEEE Conference on Decision and Control*(pp. 90-95). Tucson, Arizona: IEEE.

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*31st IEEE Conference on Decision and Control.*IEEE, Tucson, Arizona, pp. 90-95, 31st IEEE Conference on Decision and Control, CDC 1992, Tucson, United States, 16/12/92.

**Controllability distributions and systems approximations: a geometric approach.** / Ruiz, A.C.; Nijmeijer, Henk.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Controllability distributions and systems approximations: a geometric approach

AU - Ruiz, A.C.

AU - Nijmeijer, Henk

PY - 1992/12/16

Y1 - 1992/12/16

N2 - Given a nonlinear system, a relation between controllability distributions defined for a nonlinear system and a Taylor series approximation of it is determined. Special attention is given to this relation at the equilibrium. It is known from nonlinear control theory that the solvability conditions as well as the solutions to some control synthesis problems can be stated in terms of geometric concepts like controlled invariant (controllability) distributions. By dealing with a k-th Taylor series approximation of the system, the authors are able to decide when the solvability conditions of these kinds of problem are equivalent for the nonlinear system and its approximation. Some cases when the solution obtained from the approximated system is an approximation of an exact solution for the original problem are distinguished. Some examples illustrate the results

AB - Given a nonlinear system, a relation between controllability distributions defined for a nonlinear system and a Taylor series approximation of it is determined. Special attention is given to this relation at the equilibrium. It is known from nonlinear control theory that the solvability conditions as well as the solutions to some control synthesis problems can be stated in terms of geometric concepts like controlled invariant (controllability) distributions. By dealing with a k-th Taylor series approximation of the system, the authors are able to decide when the solvability conditions of these kinds of problem are equivalent for the nonlinear system and its approximation. Some cases when the solution obtained from the approximated system is an approximation of an exact solution for the original problem are distinguished. Some examples illustrate the results

KW - METIS-141523

KW - IR-30882

M3 - Conference contribution

SP - 90

EP - 95

BT - 31st IEEE Conference on Decision and Control

PB - IEEE

CY - Tucson, Arizona

ER -