Bounded Motions of the Dynamical Systems Described by Differential Inclusions

被引:0
|
作者
Ege, Nihal [1 ]
Guseinov, Khalik G. [1 ]
机构
[1] Anadolu Univ, Dept Math, Fac Sci, TR-26470 Eskisehir, Turkey
关键词
SETS;
D O I
10.1155/2009/617936
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
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页数:9
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