### Abstract

It is widely recognized that the computation of the gap metric is equivalent to a two block H^{∞} problem or the norm computation of a two block `Hankel+Toeplitz' operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. We show here a simple computational method for finding such singular value and the gap between two plants using a state space skew Toeplitz type approach.

Original language | English |
---|---|

Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Editors | Anon |

Pages | 4585-4586 |

Number of pages | 2 |

Publication status | Published - Dec 1 1996 |

Externally published | Yes |

Event | Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn Duration: Dec 11 1996 → Dec 13 1996 |

### Publication series

Name | Proceedings of the IEEE Conference on Decision and Control |
---|---|

Volume | 4 |

ISSN (Print) | 0191-2216 |

### Other

Other | Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) |
---|---|

City | Kobe, Jpn |

Period | 12/11/96 → 12/13/96 |

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

## Fingerprint Dive into the research topics of 'State space formulae for the gap computation'. Together they form a unique fingerprint.

## Cite this

Hirata, K., Yamamoto, Y., & Tannenbaum, A. (1996). State space formulae for the gap computation. In Anon (Ed.),

*Proceedings of the IEEE Conference on Decision and Control*(pp. 4585-4586). (Proceedings of the IEEE Conference on Decision and Control; Vol. 4).