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: Vyacheslav Rusanov, Aleksey Daneev, Anatoliy Lakeyev, Yurij Linke
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.
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Keywords: non-linear dynamic processes, non-linear differential realization, non-stationary (A,B,B#)2-model of vector field.
Pages: 115-120
DOI: 10.37394/23202.2020.19.16
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 19, 2020, Art. #16