Bounded Motions of the Dynamical Systems Described by Differential Inclusions
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 o...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/617936 |
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| _version_ | 1832564927183716352 |
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| author | Nihal Ege Khalik G. Guseinov |
| author_facet | Nihal Ege Khalik G. Guseinov |
| author_sort | Nihal Ege |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f223ab99c0f04eab9437dea3a8b3822f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f223ab99c0f04eab9437dea3a8b3822f2025-02-03T01:09:53ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/617936617936Bounded Motions of the Dynamical Systems Described by Differential InclusionsNihal Ege0Khalik G. Guseinov1Department of Mathematics, Science Faculty, Anadolu University, 26470 Eskisehir, TurkeyDepartment of Mathematics, Science Faculty, Anadolu University, 26470 Eskisehir, TurkeyThe 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.http://dx.doi.org/10.1155/2009/617936 |
| spellingShingle | Nihal Ege Khalik G. Guseinov Bounded Motions of the Dynamical Systems Described by Differential Inclusions Abstract and Applied Analysis |
| title | Bounded Motions of the Dynamical Systems Described by Differential Inclusions |
| title_full | Bounded Motions of the Dynamical Systems Described by Differential Inclusions |
| title_fullStr | Bounded Motions of the Dynamical Systems Described by Differential Inclusions |
| title_full_unstemmed | Bounded Motions of the Dynamical Systems Described by Differential Inclusions |
| title_short | Bounded Motions of the Dynamical Systems Described by Differential Inclusions |
| title_sort | bounded motions of the dynamical systems described by differential inclusions |
| url | http://dx.doi.org/10.1155/2009/617936 |
| work_keys_str_mv | AT nihalege boundedmotionsofthedynamicalsystemsdescribedbydifferentialinclusions AT khalikgguseinov boundedmotionsofthedynamicalsystemsdescribedbydifferentialinclusions |