Chahlaoui, Younes and Gallivan, Kyle A and Van Dooren, Paul
(2004)
*The Hinfinity-norm calculation for large sparse systems.*
In: 16th Symp. on the Mathematical Theory of Networks and Systems (MTNS04), 5-9 July 2004, Leuven.

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## Abstract

In this paper, we describe an algorithm for estimating the H∞-norm of a large linear time invariant dynamical system described by a discrete time state-space model. The algorithm is designed to be efficient for state-space models defined by {A,B,C,D} where A is a large sparse matrix of order n which is assumed very large relative to the input and output dimensions of the system.

Item Type: | Conference or Workshop Item (Paper) |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis MSC 2010, the AMS's Mathematics Subject Classification > 93 Systems theory; control |

Depositing User: | Dr Younes Chahlaoui |

Date Deposited: | 10 Feb 2008 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/1031 |

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