ON THE PROPERTIES OF THE SET OF TRAJECTORIES OF THE NONLINEAR CONTROL SYSTEM WITH QUADRATIC INTEGRAL CONSTRAINT ON THE CONTROL FUNCTIONS

In this paper the control system described by a nonlinear differential equation is studied. It is assumed that the control functions have a  quadratic integral constraint, more precisely, the admissible control functions are chosen from the ellipsoid of the space \(L_2([t_0,\theta];\mathbb{R}^m)\)....

Full description

Bibliographic Details
Main Authors: Anar Huseyin, Nesir Huseyin
Format: Article
Language:English
Published: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2023-07-01
Series:Ural Mathematical Journal
Subjects:
Online Access:https://umjuran.ru/index.php/umj/article/view/587