M. M. Kulmanakova, V. V. Obukhovskii, Y. L. Ul'yanova, “A generalized boundary value problem for a feedback control system with infinite delay”, Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 121,Pages <nobr>44

Scientific articles

A generalized boundary value problem for a feedback control system with infinite delay

M. M. Kulmanakova^a, V. V. Obukhovskii^b, Y. L. Ul'yanova^c

^a N.E. Zhukovsky and Y.A. Gagarin Air Force Academy
^b Voronezh State Pedagogical University
^c Voronezh State Technical University

Abstract: We consider a non-local boundary value problem for a feedback control system governed by a semilinear functional differential inclusion with infinite delay in a separable Banach space. As the example we present a generalized Cauchy problem and periodic problem.

Keywords: control system, feedback, functional differential inclusion, non-local boundary value problem, infinite delay, measure of noncompactness, condensing operator, fixed point, topological degree.

UDC: 517.927+977

Received: 24.01.2018

DOI: 10.20310/1810-0198-2018-23-121-44-64