Global stability in a system using echo for position control

Bartha, Ferenc A. and Krisztin, Tibor: Global stability in a system using echo for position control. Electronic journal of qualitative theory of differential equations : special edition, (3) 40. pp. 1-16. (2018)

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Abstract

We consider a system of equations describing automatic position control by echo. The system can be reduced to a single differential equation with state-dependent delay. The delayed terms come from the control mechanism and the reaction time. H.-O. Walther [Differ. Integral Equ. 15(2002), No. 8, 923–944] proved that stable periodic motion is possible for large enough reaction time. We show that, for sufficiently small reaction lag, the control is perfect, i.e., the preferred position of the system is globally asymptotically stable.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations : special edition
Date: 2018
Volume: 3
Number: 40
Page Range: pp. 1-16
ISSN: 1417-3875
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: 16. p. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 06. 14:07
Last Modified: 2018. Nov. 07. 13:54
URI: http://acta.bibl.u-szeged.hu/id/eprint/55710

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