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Stability and Controllability of a class of 2D linear systems with Dynamic Boundary Conditions

Stability and Controllability of a class of 2D linear systems with Dynamic Boundary Conditions
Stability and Controllability of a class of 2D linear systems with Dynamic Boundary Conditions
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. The feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them. In this paper a complete characterization of stability and so-called pass controllability (and several resulting features), essential building blocks for a rigorous systems theory, under a general set of initial, or boundary, conditions is developed. Finally, some significant new results on the problem of stabilization by choice of the pass state initial vector sequence are developed.
181-195
Rogers, E
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Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Gramacki, A
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Gramacki, J
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Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Gramacki, A
81a4c5dc-38e3-4c12-9d6c-33f279bce979
Gramacki, J
a0cf3eed-40ec-4a35-8403-a31f528fb070
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Rogers, E, Galkowski, K, Gramacki, A, Gramacki, J and Owens, D H (2002) Stability and Controllability of a class of 2D linear systems with Dynamic Boundary Conditions. IEEE Transactions on Circuits and Systems Part 1: Fundamental Theory and Applications, 49 (2), 181-195.

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. The feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them. In this paper a complete characterization of stability and so-called pass controllability (and several resulting features), essential building blocks for a rigorous systems theory, under a general set of initial, or boundary, conditions is developed. Finally, some significant new results on the problem of stabilization by choice of the pass state initial vector sequence are developed.

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Published date: 2002
Organisations: Southampton Wireless Group

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Local EPrints ID: 256025
URI: http://eprints.soton.ac.uk/id/eprint/256025
PURE UUID: 226a97f2-a6a8-4e09-9a3b-adbd8b782266
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 02 Mar 2004
Last modified: 20 Jul 2019 01:23

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Contributors

Author: E Rogers ORCID iD
Author: K Galkowski
Author: A Gramacki
Author: J Gramacki
Author: D H Owens

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