Bounded Motions of the Dynamical Systems Described by Differential Inclusions

Nihal Ege and Khalik G. Guseinov

Abstract and Applied Analysis, 2009, vol. 2009, 1-9

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:617936

DOI: 10.1155/2009/617936

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