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Exponential Stability of Discrete Linear Repetitive Processes

Exponential Stability of Discrete Linear Repetitive Processes
Exponential Stability of Discrete Linear Repetitive Processes
Repetitive processes are a distinct class of 2D systems of both practical and theoretical interest. Their essential characteristic is repeated sweeps, termed passes, through a set of dynamics defined over a finite duration with explicit interaction between the outputs, or pass profiles, produced as the process evolves. Experience has shown that these processes cannot be studied/controlled by direct application of existing theory (in all but a few very restrictive special cases). This fact, and the growing list of applications areas, has prompted an on-going research programme into the development of a 'mature' systems theory for these processes for onward translation into reliable generally applicable controller design algorithms. In this paper we develop the concept of exponential stability for the very important sub-class of so-called discrete linear repetitive processes and relate the results obtained to those already in both the general 2D linear systems and repetitive process literature.
0020-3270
861-869
Dymkov, M
d8c4732c-dee9-45f8-bcc8-abb228089f0e
Gaishun, I
fb6917dc-efb0-413a-9300-dbfabda25fed
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Dymkov, M
d8c4732c-dee9-45f8-bcc8-abb228089f0e
Gaishun, I
fb6917dc-efb0-413a-9300-dbfabda25fed
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Dymkov, M, Gaishun, I, Galkowski, K, Rogers, E and Owens, D H (2002) Exponential Stability of Discrete Linear Repetitive Processes. International Journal of Control, 75 (12), 861-869.

Record type: Article

Abstract

Repetitive processes are a distinct class of 2D systems of both practical and theoretical interest. Their essential characteristic is repeated sweeps, termed passes, through a set of dynamics defined over a finite duration with explicit interaction between the outputs, or pass profiles, produced as the process evolves. Experience has shown that these processes cannot be studied/controlled by direct application of existing theory (in all but a few very restrictive special cases). This fact, and the growing list of applications areas, has prompted an on-going research programme into the development of a 'mature' systems theory for these processes for onward translation into reliable generally applicable controller design algorithms. In this paper we develop the concept of exponential stability for the very important sub-class of so-called discrete linear repetitive processes and relate the results obtained to those already in both the general 2D linear systems and repetitive process literature.

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More information

Published date: 2002
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 256333
URI: http://eprints.soton.ac.uk/id/eprint/256333
ISSN: 0020-3270
PURE UUID: 5a077360-2ce9-43eb-abcb-8b13dbfd6fa0
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 01 Mar 2004
Last modified: 20 Jul 2019 01:23

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