A negative Bendixson-like criterion for a class of hybrid systems

A.Y. Pogromski; H. Nijmeijer; J.E. Rooda

A negative Bendixson-like criterion for a class of hybrid systems

A.Y. Pogromski, H. Nijmeijer, J.E. Rooda

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

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A condition which ensures absence of periodic orbits for nonsmoothdynamical systems is presented. The condition is a higherdimensional generalization of Bendixson's criterion applicable todifferential inclusions. The main argument is based on contractionanalysis of the d-measured volume along the system trajectories.A connection to the methods for estimates of the Hausdorffdimension is emphasized.

Originele taal-2	Engels
Titel	Proceedings of the 16th international symposium on mathematical theory of networks and systems (MTNS 2004), Leuven, Belgium, July 2004
Plaats van productie	s.l.
Uitgeverij	s.n.
Status	Gepubliceerd - 2004

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title = "A negative Bendixson-like criterion for a class of hybrid systems",

abstract = "A condition which ensures absence of periodic orbits for nonsmoothdynamical systems is presented. The condition is a higherdimensional generalization of Bendixson's criterion applicable todifferential inclusions. The main argument is based on contractionanalysis of the d-measured volume along the system trajectories.A connection to the methods for estimates of the Hausdorffdimension is emphasized.",

author = "A.Y. Pogromski and H. Nijmeijer and J.E. Rooda",

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language = "English",

booktitle = "Proceedings of the 16th international symposium on mathematical theory of networks and systems (MTNS 2004), Leuven, Belgium, July 2004",

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A negative Bendixson-like criterion for a class of hybrid systems. / Pogromski, A.Y.; Nijmeijer, H.; Rooda, J.E.
Proceedings of the 16th international symposium on mathematical theory of networks and systems (MTNS 2004), Leuven, Belgium, July 2004. s.l.: s.n., 2004.

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

TY - GEN

T1 - A negative Bendixson-like criterion for a class of hybrid systems

AU - Pogromski, A.Y.

AU - Nijmeijer, H.

AU - Rooda, J.E.

PY - 2004

Y1 - 2004

N2 - A condition which ensures absence of periodic orbits for nonsmoothdynamical systems is presented. The condition is a higherdimensional generalization of Bendixson's criterion applicable todifferential inclusions. The main argument is based on contractionanalysis of the d-measured volume along the system trajectories.A connection to the methods for estimates of the Hausdorffdimension is emphasized.

AB - A condition which ensures absence of periodic orbits for nonsmoothdynamical systems is presented. The condition is a higherdimensional generalization of Bendixson's criterion applicable todifferential inclusions. The main argument is based on contractionanalysis of the d-measured volume along the system trajectories.A connection to the methods for estimates of the Hausdorffdimension is emphasized.

M3 - Conference contribution

BT - Proceedings of the 16th international symposium on mathematical theory of networks and systems (MTNS 2004), Leuven, Belgium, July 2004

PB - s.n.

CY - s.l.

ER -

A negative Bendixson-like criterion for a class of hybrid systems

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