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Bounded motions of the dynamical systems described by differential inclusions - MaRDI portal

Bounded motions of the dynamical systems described by differential inclusions (Q1030628)

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scientific article; zbMATH DE number 5574396
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Bounded motions of the dynamical systems described by differential inclusions
scientific article; zbMATH DE number 5574396

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    Bounded motions of the dynamical systems described by differential inclusions (English)
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    2 July 2009
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    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 an infinitesimal form and are expressed by the Hamiltonian of the dynamical system.
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    dynamic system
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    bounded motions
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    differential inclusions
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