Vyacheslav Rusanov, Aleksey Daneev, Anatoliy Lakeyev, Yurij Linke, "To Existence of a Nonstationary Quasi-Linear Vector Field Realizing the Expansion of a Control Trajectory Bundle in Hilbert Space," WSEAS Transactions on Systems, vol. 19, pp. 115-120, 2020, DOI:10.37394/23202.2020.19.16
Vyacheslav Rusanov, Aleksey Daneev, Anatoliy Lakeyev, Yurij Linke. To Existence of a Nonstationary Quasi-Linear Vector Field Realizing the Expansion of a Control Trajectory Bundle in Hilbert Space.
WSEAS Transactions on Systems. 2020;19:115-120. 10.37394/23202.2020.19.16
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 19, 2020
To Existence of a Nonstationary Quasi-Linear Vector Field Realizing the Expansion of a Control Trajectory Bundle in Hilbert Space
Authors: , , ,
Abstract: The study of algebraic extension of a countable family of controlled non-linear dynamic processes “inputoutput” having differential realization in the class of ordinary quasi-linear differential equations (with software-positional control and without) in a separable Hilbert space was conducted. This problem as a starting point for the development of the general theory of vector fields, simultaneously creating a reputation for it as a useful tool in precision mathematical modeling of complex dynamic systems.
Keywords:
non-linear dynamic processes, non-linear differential realization, non-stationary (A, B, B#)2-model of vector field.
Pages: 115-120 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 19, 2020, Art. #16 DOI: 10.37394/23202.2020.19.16
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