Bounded Motions of the Dynamical Systems Described by Differential Inclusions

Ege, Nihal; Guseinov, Khalik G.
January 2009
Abstract & Applied Analysis;2009, Special section p1
Academic Journal
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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