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Lyapunov stability of 2D finite-dimensional behaviors

Lyapunov stability of 2D finite-dimensional behaviors
Lyapunov stability of 2D finite-dimensional behaviors
In this paper we investigate a Lyapunov approach to the stability of finite-dimensional 2D systems. We use the behavioral framework and consider a notion of stability following the ideas in Pillai and Shankar (1998), Rocha (2008), Valcher (2000). We characterize stability in terms of the existence of a (quadratic) Lyapunov function and provide a constructive algorithm for the computation of all such Lyapunov functions.
2-D system, Lyapunov function, quadratic difference form, behavioral approach
0020-3270
737-745
Napp-Avelli, Diego
0a6533b3-ff16-485a-8ddb-eacbfcd2770b
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, Paula
979fec2c-cc98-483b-a21c-534ab8788ce9
Napp-Avelli, Diego
0a6533b3-ff16-485a-8ddb-eacbfcd2770b
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, Paula
979fec2c-cc98-483b-a21c-534ab8788ce9

Napp-Avelli, Diego, Rapisarda, Paolo and Rocha, Paula (2011) Lyapunov stability of 2D finite-dimensional behaviors. International Journal of Control, 84 (4), 737-745. (In Press)

Record type: Article

Abstract

In this paper we investigate a Lyapunov approach to the stability of finite-dimensional 2D systems. We use the behavioral framework and consider a notion of stability following the ideas in Pillai and Shankar (1998), Rocha (2008), Valcher (2000). We characterize stability in terms of the existence of a (quadratic) Lyapunov function and provide a constructive algorithm for the computation of all such Lyapunov functions.

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More information

Accepted/In Press date: 2011
Keywords: 2-D system, Lyapunov function, quadratic difference form, behavioral approach
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 272248
URI: http://eprints.soton.ac.uk/id/eprint/272248
ISSN: 0020-3270
PURE UUID: a9ac3524-9efb-4cec-964b-6b102929d5e7

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Date deposited: 04 May 2011 09:05
Last modified: 14 Mar 2024 09:51

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Contributors

Author: Diego Napp-Avelli
Author: Paolo Rapisarda
Author: Paula Rocha

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