On a problem of control of trajectory bundles
Year: 2025
Type: article
Abstract: Various problems of control of trajectory bundles constitute an important object of study in modern mathematical control theory. Such problems arise, for example, in studying the motion of a flow of charged particles, and also in the presence of incomplete information about the initial state of the controlled system. In the present article, for a nonlinear controlled object of a quite general form on a fixed time interval [0, T], the problem of control of trajectory bundles with a non-single-point initial set is considered. On the reachable set at the moment T > 0, the problem of maximization of a given continuous function is studied. This problem can be interpreted as a problem on the spread of trajectories of the controlled object. The corresponding maximum depends on the chosen admissible control u(·). In the article, the existence of a minimum on the set of admissible controls from this maximum is substantiated.
DOI: 10.35634/vm250104
Author: M.S. Nikol’skii
Institution: Steklov Mathematical Institute
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408838871