A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems

Rapisarda, Paolo, Takaba, Kiyotsugu and Kojima, Chiaki (2010) A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems. MTNS 2010, Budapest, Hungary. 05 - 09 Jul 2010.

Record type: Conference or Workshop Item (Paper)

Abstract

We introduce a four-variable polynomial matrix equation which plays an essential role in the stability analysis of discrete 2-D systems and in the computation of Lyapunov functions for such systems; we call this the 2-D polynomial Lyapunov equation (2-D PLE). We also give necessary and sufficient conditions for the stability of "square" 2-D systems based on solutions of the 2-D PLE satisfying additional properties.

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Published date: 5 July 2010

Additional Information: Event Dates: July 5-9, 2010

Venue - Dates: MTNS 2010, Budapest, Hungary, 2010-07-05 - 2010-07-09

Organisations: Southampton Wireless Group

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Identifiers

Local EPrints ID: 271382

URI: http://eprints.soton.ac.uk/id/eprint/271382

PURE UUID: 08b20204-cfbe-4628-8b66-ca8fa0774129

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Date deposited: 12 Jul 2010 11:54

Last modified: 14 Mar 2024 09:29

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Contributors

Author: Paolo Rapisarda

Author: Kiyotsugu Takaba

Author: Chiaki Kojima

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