### Abstract

Original language | Undefined |
---|---|

Title of host publication | Hybrid Systems: Computation and Control |

Editors | Rajeev Alur, George J. Pappas |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 555-569 |

Number of pages | 15 |

ISBN (Print) | 978-3-540-21259-1 |

DOIs | |

Publication status | Published - 2004 |

Event | 7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004 - Philadelphia, United States Duration: 25 Mar 2004 → 27 Mar 2004 Conference number: 7 |

### Publication series

Name | Lecture Notes in Computer Science |
---|---|

Publisher | Springer Verlag |

Volume | 2993 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Workshop

Workshop | 7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004 |
---|---|

Abbreviated title | HSCC |

Country | United States |

City | Philadelphia |

Period | 25/03/04 → 27/03/04 |

### Keywords

- EWI-16805
- METIS-219892
- IR-69156

### Cite this

*Hybrid Systems: Computation and Control*(pp. 555-569). [10.1007/b96398] (Lecture Notes in Computer Science; Vol. 2993). Berlin: Springer. https://doi.org/10.1007/b96398

}

*Hybrid Systems: Computation and Control.*, 10.1007/b96398, Lecture Notes in Computer Science, vol. 2993, Springer, Berlin, pp. 555-569, 7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004, Philadelphia, United States, 25/03/04. https://doi.org/10.1007/b96398

**Bisimulation of dynamical systems.** / van der Schaft, Arjan.

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

TY - GEN

T1 - Bisimulation of dynamical systems

AU - van der Schaft, Arjan

N1 - DOI: 10.1007/b96398

PY - 2004

Y1 - 2004

N2 - A general notion of bisimulation is studied for dynamical systems. An algebraic characterization of bisimulation together, with an algorithm for computing the maximal bisimulation relation is derived using geometric control theory. Bisimulation of dynamical systems is shown to be a concept which unifies the system-theoretic concepts of state space equivalence and state space reduction, and which allows to study equivalence of systems with non-minimal state space dimension. The notion of bisimulation is especially powerful for 'non-deterministic' dynamical systems, and leads in this case to a notion of equivalence which is finer than equality of external behavior. Furthermore, by merging bisimulation of dynamical systems with bisimulation of concurrent processes a notion of structural bisimulation is developed for hybrid systems with continuous input and output variables.

AB - A general notion of bisimulation is studied for dynamical systems. An algebraic characterization of bisimulation together, with an algorithm for computing the maximal bisimulation relation is derived using geometric control theory. Bisimulation of dynamical systems is shown to be a concept which unifies the system-theoretic concepts of state space equivalence and state space reduction, and which allows to study equivalence of systems with non-minimal state space dimension. The notion of bisimulation is especially powerful for 'non-deterministic' dynamical systems, and leads in this case to a notion of equivalence which is finer than equality of external behavior. Furthermore, by merging bisimulation of dynamical systems with bisimulation of concurrent processes a notion of structural bisimulation is developed for hybrid systems with continuous input and output variables.

KW - EWI-16805

KW - METIS-219892

KW - IR-69156

U2 - 10.1007/b96398

DO - 10.1007/b96398

M3 - Conference contribution

SN - 978-3-540-21259-1

T3 - Lecture Notes in Computer Science

SP - 555

EP - 569

BT - Hybrid Systems: Computation and Control

A2 - Alur, Rajeev

A2 - Pappas, George J.

PB - Springer

CY - Berlin

ER -