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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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.

Original language	English
Title of host publication	Proceedings of the 16th international symposium on mathematical theory of networks and systems (MTNS 2004), Leuven, Belgium, July 2004
Place of Publication	s.l.
Publisher	s.n.
Publication status	Published - 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",

year = "2004",

language = "English",

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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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › 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

Abstract

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