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New 2D models and a transition matrix for discrete linear repetitive processes

New 2D models and a transition matrix for discrete linear repetitive processes
New 2D models and a transition matrix for discrete linear repetitive processes
This paper reports further results on the development of a control theory for discrete linear repetitive processes. In particular, Roesser and Fornasini Marchesini state space model equivalent descriptions for the dynamics of these processes are constructed and then used to develop new stability tests which involve only computations on matrices with constant entries. Also, they are used to develop a transition matrix, or fundamental matrix sequence, for these processes which is a then used to define and characterize so-called local reachability and controllability properties in the form of matrix rank-based tests.
0020-3270
1365-80
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
db24b8ef-282b-47c0-9cd2-75e91d312ad7
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
db24b8ef-282b-47c0-9cd2-75e91d312ad7

Galkowski, K, Rogers, E and Owens, D H (1999) New 2D models and a transition matrix for discrete linear repetitive processes. International Journal of Control, 72 (15), 1365-80.

Record type: Article

Abstract

This paper reports further results on the development of a control theory for discrete linear repetitive processes. In particular, Roesser and Fornasini Marchesini state space model equivalent descriptions for the dynamics of these processes are constructed and then used to develop new stability tests which involve only computations on matrices with constant entries. Also, they are used to develop a transition matrix, or fundamental matrix sequence, for these processes which is a then used to define and characterize so-called local reachability and controllability properties in the form of matrix rank-based tests.

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More information

Published date: 1999
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 254109
URI: http://eprints.soton.ac.uk/id/eprint/254109
ISSN: 0020-3270
PURE UUID: 2b1c928e-8b44-4899-8eb8-c7bc8b3f7c43
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 07 Mar 2004
Last modified: 18 Oct 2022 01:33

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Contributors

Author: K Galkowski
Author: E Rogers ORCID iD
Author: D H Owens

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