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

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Uittreksel

A condition which ensures the absence of periodic orbits for nonsmooth dynamical systems is presented. The condition is a higher dimensional generalization of Bendixson's criterion applicable to differential inclusions that are useful in the description of hybrid systems. The main argument is based on contraction analysis of the d-measured volume along the system trajectories. A connection to methods for estimating the Hausdorff dimension is emphasized. For a class of hybrid systems described by a linear system with relay feedback the conditions are presented in the form of linear matrix inequalities. A simple but illustrative example is analyzed
Originele taal-2Engels
Pagina's (van-tot)586-595
TijdschriftIEEE Transactions on Automatic Control
Volume52
Nummer van het tijdschrift4
DOI's
StatusGepubliceerd - 2007

Vingerafdruk

Hybrid systems
Linear matrix inequalities
Linear systems
Dynamical systems
Orbits
Trajectories
Feedback

Citeer dit

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author = "A.Y. Pogromski and H. Nijmeijer and J.E. Rooda",
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A negative bendixson-like criterion for a class of hybrid systems. / Pogromski, A.Y.; Nijmeijer, H.; Rooda, J.E.

In: IEEE Transactions on Automatic Control, Vol. 52, Nr. 4, 2007, blz. 586-595.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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

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AU - Rooda, J.E.

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