Time-relevant stability of 2D systems
Time-relevant stability of 2D systems
For many 2D systems, one of the independent variables plays a distinct role in the evolution of the trajectories; since often this special independent variable is time, we call such systems 'time-relevant'. In this paper, we introduce a stability notion for time-relevant systems described by higher-order difference equations. We give algebraic tests in terms of the location of the zeros of the determinant of a polynomial matrix describing the system. We also give an LMI characterization of time-relevant stability involving only constant matrices.
2D systems, quadratic difference forms, LMI, stability
Rapisarda, Paolo
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Napp-Avelli, Diego
0a6533b3-ff16-485a-8ddb-eacbfcd2770b
Rocha, Paula
979fec2c-cc98-483b-a21c-534ab8788ce9
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Napp-Avelli, Diego
0a6533b3-ff16-485a-8ddb-eacbfcd2770b
Rocha, Paula
979fec2c-cc98-483b-a21c-534ab8788ce9
Rapisarda, Paolo, Napp-Avelli, Diego and Rocha, Paula
(2011)
Time-relevant stability of 2D systems.
Automatica.
(In Press)
Abstract
For many 2D systems, one of the independent variables plays a distinct role in the evolution of the trajectories; since often this special independent variable is time, we call such systems 'time-relevant'. In this paper, we introduce a stability notion for time-relevant systems described by higher-order difference equations. We give algebraic tests in terms of the location of the zeros of the determinant of a polynomial matrix describing the system. We also give an LMI characterization of time-relevant stability involving only constant matrices.
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- Accepted Manuscript
More information
Accepted/In Press date: 2011
Keywords:
2D systems, quadratic difference forms, LMI, stability
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 272249
URI: http://eprints.soton.ac.uk/id/eprint/272249
ISSN: 0005-1098
PURE UUID: 862e4ace-a3ac-4cc7-8ded-4d1383fef908
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Date deposited: 04 May 2011 12:08
Last modified: 14 Mar 2024 09:51
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Contributors
Author:
Paolo Rapisarda
Author:
Diego Napp-Avelli
Author:
Paula Rocha
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