### Abstract

We present results establishing that deterministic long run average problems of optimal control are "asymptotically equivalent" to infinite dimensional linear programming problems (LPP) and that these LPP can be approximated by finite dimensional LPP, the solutions of which can be used for construction of the optimal controls. General results are illustrated by a numerical example.

Original language | English |
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Title of host publication | Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC |

Place of Publication | Piscataway, NJ |

Publisher | Institute of Electrical and Electronics Engineers (IEEE) |

Pages | 5012-5017 |

Number of pages | 6 |

ISBN (Print) | 1424401712, 9781424401710 |

Publication status | Published - 2006 |

Externally published | Yes |

Event | 45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006 |

### Other

Other | 45th IEEE Conference on Decision and Control 2006, CDC |
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Country | United States |

City | San Diego, CA |

Period | 13/12/06 → 15/12/06 |

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## Cite this

Gaitsgory, V., & Rossomakhine, S. (2006). Occupational measures formulation and linear programming solution of deterministic long run average problems of optimal control. In

*Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC*(pp. 5012-5017). [4178124] Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE).