Open AccessSOLUTION TO THE OPTIMAL CONTROL PROBLEM BY SOURCES IN THE BOUNDARY CONDITIONS OF A HYPERBOLIC SYSTEM OF A NETWORK STRUCTURE
Author(s) -
Yegana Ashrafova,
Sevinc Rasulova
Publication year - 2021
Publication title -
prikladnaâ matematika i fundamentalʹnaâ informatika
Language(s) - English
Resource type - Journals
ISSN - 2311-4908
DOI - 10.25206/2311-4908-2021-8-1-4-12
Subject(s) - boundary (topology) , mathematics , arc (geometry) , boundary value problem , minification , mathematical analysis , power (physics) , control theory (sociology) , object (grammar) , set (abstract data type) , control (management) , optimal control , process (computing) , state (computer science) , differential (mechanical device) , hyperbolic partial differential equation , differential equation , mathematical optimization , computer science , geometry , physics , algorithm , quantum mechanics , artificial intelligence , programming language , operating system , thermodynamics
The solution to the optimal control problem by power of external and internal sources acting on the multilink system in nonlocal boundary conditions is investigated. Each arc of the system is an object with distributed parameters, described by a differential equation of hyperbolic type and related only by boundary values, and in an arbitrary way. Due to the long duration of the object's functioning, the exact values of the initial conditions are not known, but a set of their possible values is given. Based on the results of additional measurements of the state of the process at the input or output ends of the arcs (which are not internal vertices), a target functional is constructed, for which minimization a formula for its gradient is obtained.