## Abstract

We consider here the problem of finding a controller such that when interconnected to the plant, we obtain a system which is asymptotically equivalent to a desired system. Here 'asymptotic equivalence' is formalized as 'asymptotic bisimilarity'. Intuitively speaking, two systems are asymptotically bisimilar if the difference between their outputs decays to zero with time. We give necessary and sufficient conditions for the existence of such a controller. These conditions can be verified computationally using standard algorithms in linear geometric control. The systems we consider are linear time invariant input-state-output systems.

Original language | English |
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Title of host publication | 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) |

Place of Publication | NEW YORK |

Publisher | University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science |

Pages | 5999-6003 |

Number of pages | 5 |

ISBN (Print) | 978-1-4244-7746-3 |

Publication status | Published - 2010 |

Event | 49th IEEE Conference on Decision and Control (CDC) - , United States Duration: 15-Dec-2010 → 17-Dec-2010 |

### Other

Other | 49th IEEE Conference on Decision and Control (CDC) |
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Country | United States |

Period | 15/12/2010 → 17/12/2010 |

## Keywords

- Linear systems
- bisimulations
- achievability
- canonical controller
- interconnection
- BISIMULATION
- EQUIVALENCE