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Stability and stabilisation of acausal discrete linear repetitive processes

Stability and stabilisation of acausal discrete linear repetitive processes
Stability and stabilisation of acausal discrete linear repetitive processes
Repetitive processes are a distinct class of two-dimensional systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. In this paper we introduce a new model for these processes in order to represent dynamics which arise in some applications areas and which are not included in those currently available. Then we proceed to define quadratic stability for this case, obtain conditions for its existence, and also use feedback control to solve a stabilization problem.
155-156
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Kummert, A
c665cd90-e430-47d3-9dfb-0ab3419c747f
Cichy, B
7f9e82ee-ff3f-40d7-839e-0e54d878538e
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Kummert, A
c665cd90-e430-47d3-9dfb-0ab3419c747f
Cichy, B
7f9e82ee-ff3f-40d7-839e-0e54d878538e
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72

Galkowski, K, Kummert, A, Cichy, B and Rogers, E (2005) Stability and stabilisation of acausal discrete linear repetitive processes. Proceedings in Applied Mathematics and Mechanics, 5, 155-156.

Record type: Article

Abstract

Repetitive processes are a distinct class of two-dimensional systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. In this paper we introduce a new model for these processes in order to represent dynamics which arise in some applications areas and which are not included in those currently available. Then we proceed to define quadratic stability for this case, obtain conditions for its existence, and also use feedback control to solve a stabilization problem.

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Published date: 2005
Organisations: Southampton Wireless Group
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Identifiers

Local EPrints ID: 264373
URI: http://eprints.soton.ac.uk/id/eprint/264373
PURE UUID: d5649460-33fd-487d-b4ac-1f6e4e37f66b
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 03 Aug 2007
Last modified: 15 Mar 2024 02:42

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Contributors

Author: K Galkowski
Author: A Kummert
Author: B Cichy
Author: E Rogers ORCID iD

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