On a generalized boundary value problem for a feedback control system with infinite delay
Author:
Afanasova M.S.1,
Obukhovskii V.V.1,
Petrosyan G.G.2
Affiliation:
1. Voronezh State Pedagogical University
2. Voronezh State University of Engineering Technologies
Abstract
We consider a non-local boundary value problem for a feedback control system described by a semilinear functional-differential inclusion of fractional order with infinite delay in a separable Banach space. The general principle of existence of solutions to the problem in terms of the difference from zero of the topological degree of the corresponding vector field is given. We prove a concrete example (Theorem 6) of the implementation of this general principle. The existence of an optimal solution to the posed problem is proved, which minimizes the given lower semicontinuous quality functional.
Funder
Ministry of Science and Higher Education of the Russian Federation
Russian Foundation for Basic Research
Publisher
Udmurt State University
Subject
Fluid Flow and Transfer Processes,General Mathematics,General Computer Science