On infinity norms as Lyapunov functions : alternative necessary and sufficient conditions

M. Lazar

doi:10.1109/CDC.2010.5717266

On infinity norms as Lyapunov functions : alternative necessary and sufficient conditions

M. Lazar

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

41 Citaten (Scopus)

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This paper considers the synthesis of infinity norm Lyapunov functions for discrete-time linear systems. A proper conic partition of the state-space is employed to construct a finite set of linear inequalities in the elements of the Lyapunov weight matrix. Under typical assumptions, it is proven that the feasibility of the derived set of linear inequalities is equivalent with the existence of an infinity norm Lyapunov function. Furthermore, it is shown that the developed solution extends naturally to several relevant classes of discrete-time nonlinear systems.

Originele taal-2	Engels
Titel	Proceedings of the 49th IEEE Conference on Decision and Control (CDC), 15-17 December 2010, Atlanta, Georgia
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	5936-5942
ISBN van geprinte versie	978-1-4244-7745-6
DOI's	https://doi.org/10.1109/CDC.2010.5717266
Status	Gepubliceerd - 2010

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10.1109/CDC.2010.5717266

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On infinity norms as Lyapunov functions : alternative necessary and sufficient conditions. / Lazar, M.
Proceedings of the 49th IEEE Conference on Decision and Control (CDC), 15-17 December 2010, Atlanta, Georgia. Piscataway: Institute of Electrical and Electronics Engineers, 2010. blz. 5936-5942.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AB - This paper considers the synthesis of infinity norm Lyapunov functions for discrete-time linear systems. A proper conic partition of the state-space is employed to construct a finite set of linear inequalities in the elements of the Lyapunov weight matrix. Under typical assumptions, it is proven that the feasibility of the derived set of linear inequalities is equivalent with the existence of an infinity norm Lyapunov function. Furthermore, it is shown that the developed solution extends naturally to several relevant classes of discrete-time nonlinear systems.

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DO - 10.1109/CDC.2010.5717266

M3 - Conference contribution

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BT - Proceedings of the 49th IEEE Conference on Decision and Control (CDC), 15-17 December 2010, Atlanta, Georgia

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On infinity norms as Lyapunov functions : alternative necessary and sufficient conditions

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