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z-Transform and Volterra Operator Based Approaches to Controllability and Observability Analysis for Discrete Linear Repetitive Processes

z-Transform and Volterra Operator Based Approaches to Controllability and Observability Analysis for Discrete Linear Repetitive Processes
z-Transform and Volterra Operator Based Approaches to Controllability and Observability Analysis for Discrete Linear Repetitive Processes
Linear repetitive processes are a distinct class of 2D systems of both systems theoretic and applications interest. They are distinct from other classes of such systems by the fact that information propagation in one of the two separate directions only occurs over a finite duration. This, in turn, means that existing 2D systems theory either cannot be applied at all or only in substantially modified form. Hence a distinct systems theory must be developed for them with onward translation (where appropriate) into reliable routinely applicable analysis and design tools. This paper contributes substantial news results to this general task in the areas of controllability and observability for the sub-class of so-called discrete linear repetitive processes which arise in key applications areas and, in particular, iterative learning control.
365-395
Dymkov, M
d8c4732c-dee9-45f8-bcc8-abb228089f0e
Gaishun, I
fb6917dc-efb0-413a-9300-dbfabda25fed
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Dymkov, M
d8c4732c-dee9-45f8-bcc8-abb228089f0e
Gaishun, I
fb6917dc-efb0-413a-9300-dbfabda25fed
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Dymkov, M, Gaishun, I, Rogers, E, Galkowski, K and Owens, D H (2003) z-Transform and Volterra Operator Based Approaches to Controllability and Observability Analysis for Discrete Linear Repetitive Processes. Multidimensional Systems and Signal Processing, 14, 365-395.

Record type: Article

Abstract

Linear repetitive processes are a distinct class of 2D systems of both systems theoretic and applications interest. They are distinct from other classes of such systems by the fact that information propagation in one of the two separate directions only occurs over a finite duration. This, in turn, means that existing 2D systems theory either cannot be applied at all or only in substantially modified form. Hence a distinct systems theory must be developed for them with onward translation (where appropriate) into reliable routinely applicable analysis and design tools. This paper contributes substantial news results to this general task in the areas of controllability and observability for the sub-class of so-called discrete linear repetitive processes which arise in key applications areas and, in particular, iterative learning control.

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More information

Published date: 2003
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 257469
URI: http://eprints.soton.ac.uk/id/eprint/257469
PURE UUID: 94bdfe96-ab9c-4b2d-a44e-9f264cc9219f
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 29 Feb 2004
Last modified: 20 Jul 2019 01:23

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