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.