### Abstract

The authors study various types of input/output representations for nonlinear continuous-time systems. The algebraic and analytic I/O equations studied in previous work by the authors are generalized to integral and integro-differential equations, and an abstract notion is also considered. New results are given on generic observability, and these results are then applied to give conditions under which the minimal order of an equation equals the minimal possible dimension of a realization, just as with linear systems but in contrast to discrete-time nonlinear theory.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | Publ by IEEE |

Pages | 720-725 |

Number of pages | 6 |

ISBN (Print) | 0780304500 |

State | Published - Jan 1 1992 |

Event | Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl Duration: Dec 11 1991 → Dec 13 1991 |

### Publication series

Name | Proceedings of the IEEE Conference on Decision and Control |
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ISSN (Print) | 0191-2216 |

### Other

Other | Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) |
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City | Brighton, Engl |

Period | 12/11/91 → 12/13/91 |

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

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## Cite this

Sontag, E. D., & Wang, Y. (1992). I/O equations for nonlinear systems and observation spaces. In

*Proceedings of the IEEE Conference on Decision and Control*(pp. 720-725). (Proceedings of the IEEE Conference on Decision and Control). Publ by IEEE.