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1D Equivalent Model and Related Approaches to the Analysis of Discrete Non-unit Memory Linear Repetitive Processes

1D Equivalent Model and Related Approaches to the Analysis of Discrete Non-unit Memory Linear Repetitive Processes
1D Equivalent Model and Related Approaches to the Analysis of Discrete Non-unit Memory Linear Repetitive Processes
Discrete linear repetitive processes are a distinct class of 2D linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. In this paper, a 1D linear systems equivalent state space model description of the dynamics of so-called discrete non-unit memory linear repetitive processes is developed and used (with related approaches) to characterize key systems theoretic properties.\\ \noindent {\bf Keywords:} 2D linear systems, repetitive dynamics, stability, 1D equivalent model, controllability, non-unit memory processes.
525-534
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Wood, J
9d32c83e-9d59-4c32-8ab2-a5f64ecc26e6
Benton, S E
8a24e7a3-1145-40f4-94a2-92d5fc528032
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Wood, J
9d32c83e-9d59-4c32-8ab2-a5f64ecc26e6
Benton, S E
8a24e7a3-1145-40f4-94a2-92d5fc528032
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Galkowski, K, Rogers, E, Wood, J, Benton, S E and Owens, D H (2002) 1D Equivalent Model and Related Approaches to the Analysis of Discrete Non-unit Memory Linear Repetitive Processes. Circuits, Systems, and Signal Processing, 21 (6), 525-534.

Record type: Article

Abstract

Discrete linear repetitive processes are a distinct class of 2D linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. In this paper, a 1D linear systems equivalent state space model description of the dynamics of so-called discrete non-unit memory linear repetitive processes is developed and used (with related approaches) to characterize key systems theoretic properties.\\ \noindent {\bf Keywords:} 2D linear systems, repetitive dynamics, stability, 1D equivalent model, controllability, non-unit memory processes.

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Published date: 2002
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 258941
URI: http://eprints.soton.ac.uk/id/eprint/258941
PURE UUID: cf1695c4-06ba-4e71-995c-43df09d9da86
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 14 Mar 2004
Last modified: 07 Oct 2020 01:34

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Contributors

Author: K Galkowski
Author: E Rogers ORCID iD
Author: J Wood
Author: S E Benton
Author: D H Owens

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