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Lyapunov functions for time-relevant 2D systems, with application to first-orthant stable systems

Lyapunov functions for time-relevant 2D systems, with application to first-orthant stable systems
Lyapunov functions for time-relevant 2D systems, with application to first-orthant stable systems
We perform a Lyapunov stability analysis of a special class of 2-D systems, those for which one of the independent variables plays a distinguished role. We show how to construct Lyapunov functionals for this class using LMIs. We also apply our results to the study of quarter-plane stability.
2-D systems, time-relevance, lyapunov stability, quadratic difference forms, linear matrix inequalities
0005-1098
1998-2006
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, P.
7fb9de01-75f9-4cb8-96a2-dbbb8cdf28f4
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, P.
7fb9de01-75f9-4cb8-96a2-dbbb8cdf28f4

Rapisarda, P. and Rocha, P. (2012) Lyapunov functions for time-relevant 2D systems, with application to first-orthant stable systems. Automatica, 48 (9), 1998-2006. (doi:10.1016/j.automatica.2012.06.019).

Record type: Article

Abstract

We perform a Lyapunov stability analysis of a special class of 2-D systems, those for which one of the independent variables plays a distinguished role. We show how to construct Lyapunov functionals for this class using LMIs. We also apply our results to the study of quarter-plane stability.

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e-pub ahead of print date: 30 June 2012
Published date: September 2012
Keywords: 2-D systems, time-relevance, lyapunov stability, quadratic difference forms, linear matrix inequalities
Organisations: Southampton Wireless Group
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Identifiers

Local EPrints ID: 340729
URI: http://eprints.soton.ac.uk/id/eprint/340729
DOI: doi:10.1016/j.automatica.2012.06.019
ISSN: 0005-1098
PURE UUID: cbd1b47f-dad9-43fc-960d-09baf1f9e10e

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Date deposited: 02 Jul 2012 11:10
Last modified: 14 Mar 2024 11:29

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Contributors

Author: P. Rapisarda
Author: P. Rocha

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