Bounded Motions of the Dynamical Systems Described by Differential Inclusions

الملخص EN

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.