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Counterexample to "Generalized eigenvalue-based stability tests for 2D linear systems: Necessary and sufficient conditions"

Counterexample to "Generalized eigenvalue-based stability tests for 2D linear systems: Necessary and sufficient conditions"
Counterexample to "Generalized eigenvalue-based stability tests for 2D linear systems: Necessary and sufficient conditions"
We present a counterexample contradicting the equivalence of statements (i)-(ii) and (iii)-(v) of Theorem 1 of Fu, P., Chen, J., and S.I. Niculescu (2006). "Generalized eigenvalue-based stability tests for 2-D linear systems: Necessary and sufficient conditions", Automatica, 42(9) 1569-1576.
2-D system, Stability criteria, Matrix pencil.
0005-1098
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Takaba, Kiyotsugu
951ed1dd-9ead-4dad-bb6f-093c68f52052
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Takaba, Kiyotsugu
951ed1dd-9ead-4dad-bb6f-093c68f52052

Rapisarda, Paolo and Takaba, Kiyotsugu (2009) Counterexample to "Generalized eigenvalue-based stability tests for 2D linear systems: Necessary and sufficient conditions". Automatica.

Record type: Article

Abstract

We present a counterexample contradicting the equivalence of statements (i)-(ii) and (iii)-(v) of Theorem 1 of Fu, P., Chen, J., and S.I. Niculescu (2006). "Generalized eigenvalue-based stability tests for 2-D linear systems: Necessary and sufficient conditions", Automatica, 42(9) 1569-1576.

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Published date: 2009
Additional Information: The first author gratefully acknowledges the financial support of the Great Britain Sasakawa Foundation for the visit to Kyoto University during which the results presented in this paper were obtained.
Keywords: 2-D system, Stability criteria, Matrix pencil.
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 267955
URI: https://eprints.soton.ac.uk/id/eprint/267955
ISSN: 0005-1098
PURE UUID: 76d80aec-47a7-499c-be9f-718a33d2e155

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Date deposited: 24 Sep 2009 20:30
Last modified: 18 Jul 2017 06:58

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Contributors

Author: Paolo Rapisarda
Author: Kiyotsugu Takaba

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