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Aerospace Instrument-Making

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INVARIANTS OF VECTOR FIELDS OF CONTROLLED DYNAMIC SYSTEMS
D.B. Abramov, S.O. Baranov, S.V. Lejhter, S.N. Chukanov

The algorithms for constructing invariants of vector fields defined by the integral curves of controlled dynamic systems, relative to the action of Lie groups, are considered in the paper. The paper discusses the algorithms of invariant vector fields defined by the integral curves of controlled dynamic systems, in relation to the action of Lie groups. It is shown that for two integral curves can construct a map that allows you to compare the integral curves of vector fields of controlled dynamical systems.
Key words: controlled dynamical systems, visualization of vector fields, invariants, transformation group, integral curves of dynamic systems.

Contacts: E-mail: leykhter@mail.ru, E-mail: ch_sn@mail.ru

Pp. 35-40.

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