Bounded Motions of the Dynamical Systems Described by Differential Inclusions

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EGE N., Guseinov K. G.

ABSTRACT AND APPLIED ANALYSIS, vol.2009, 2009 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 2009
• Publication Date: 2009
• Doi Number: 10.1155/2009/617936
• Journal Name: ABSTRACT AND APPLIED ANALYSIS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Open Archive Collection: AVESIS Open Access Collection
• Anadolu University Affiliated: Yes

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. Copyright (C) 2009 N. Ege and K. G. Guseinov.