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Bounded Motions of the Dynamical Systems Described by Differential Inclusions

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  • Nihal Ege
  • Khalik G. Guseinov

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.

Suggested Citation

  • Nihal Ege & Khalik G. Guseinov, 2009. "Bounded Motions of the Dynamical Systems Described by Differential Inclusions," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, June.
  • Handle: RePEc:hin:jnlaaa:617936
    DOI: 10.1155/2009/617936
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