Abstract and Applied Analysis

Bounded Motions of the Dynamical Systems Described by Differential Inclusions

Nihal Ege and Khalik G. Guseinov

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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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Abstr. Appl. Anal., Volume 2009 (2009), Article ID 617936, 9 pages.

First available in Project Euclid: 16 March 2010

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Ege, Nihal; Guseinov, Khalik G. Bounded Motions of the Dynamical Systems Described by Differential Inclusions. Abstr. Appl. Anal. 2009 (2009), Article ID 617936, 9 pages. doi:10.1155/2009/617936. https://projecteuclid.org/euclid.aaa/1268745566

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