Lyapunov stability of 2D finite-dimensional behaviors

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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Accepted/In Press date: 2011

Keywords: 2-D system, Lyapunov function, quadratic difference form, behavioral approach

Organisations: Southampton Wireless Group

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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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