Compact global attractors of control systems

Authors:
D. Cheban
Affiliations:
State University of Moldova, Chişinău, Moldova
Venue:
Journal of Dynamical and Control Systems
Year:
2010

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Abstract

The paper is dedicated to the study of the existence of compact global attractors of control systems and to the description of their structure. In particular, we give sufficient conditions for the existence of a chaotic attractor for some classes of switching systems. We study this problem in the framework of nonautonomous dynamical systems (cocycles).