Bounded Motions of the Dynamical Systems Described by Differential Inclusions
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.