Glover, K and Yuan, X (2012) *Balanced realisations of all-pass systems using exact arithmetic with application to the approximation of delay systems.* Proceedings of the IEEE Conference on Decision and Control. pp. 4942-4946. ISSN 0191-2216

## Abstract

Numerically well-conditioned state-space realisations for all-pass systems, such as Padé approximations to exp(-s), are derived that can be computed using exact integer arithmetic. This is then applied to the a series of functions of exp(-s). It is also shown that the H-infinity norm of the transfer function from the input to the state of a balanced realisation of the Padé approximation of exp(-s) is unity. © 2012 IEEE.

Item Type: | Article |
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Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 18 May 2016 18:53 |

Last Modified: | 25 May 2016 00:21 |

DOI: | 10.1109/CDC.2012.6426409 |