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Lyapunov stability analysis of higher-order 2D systems

Record type: Article

We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations. We show that asymptotic stability is equivalent to the existence of a vector Lyapunov functional satisfying certain positivity conditions together with its divergence along the system trajectories. We use the behavioral framework and the calculus of quadratic difference forms based on four-variable polynomial algebra.

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Citation

Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov stability analysis of higher-order 2D systems Multidimensional Systems and Signal Processing, 22, pp. 287-302.

More information

Published date: 2010
Keywords: 2D system, Lyapunov function, quadratic difference form, polynomial Lyapunov equation
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 271388
URI: http://eprints.soton.ac.uk/id/eprint/271388
PURE UUID: e17ae170-0552-4296-8ba8-aa86cc01d2eb

Catalogue record

Date deposited: 12 Jul 2010 14:12
Last modified: 18 Jul 2017 06:43

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Contributors

Author: Chiaki Kojima
Author: Paolo Rapisarda
Author: Kiyotsugu Takaba

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