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2009 Bounded Motions of the Dynamical Systems Described by Differential Inclusions
Nihal Ege, Khalik G. Guseinov
Abstr. Appl. Anal. 2009: 1-9 (2009). DOI: 10.1155/2009/617936

Abstract

The boundedness of the motions of the dynamical system described by a differential inclusion with control vector is studied. It is assumed that the right-hand side of the differential inclusion is upper semicontinuous. Using positionally weakly invariant sets, sufficient conditions for boundedness of the motions of a dynamical system are given. These conditions have infinitesimal form and are expressed by the Hamiltonian of the dynamical system.

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Nihal Ege. Khalik G. Guseinov. "Bounded Motions of the Dynamical Systems Described by Differential Inclusions." Abstr. Appl. Anal. 2009 1 - 9, 2009. https://doi.org/10.1155/2009/617936

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1175.37088
MathSciNet: MR2516008
Digital Object Identifier: 10.1155/2009/617936

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
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