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. (2018)

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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: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2018
Volume: 3
Number: 40
ISSN: 1417-3875
Page Range: pp. 1-16
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: 16. p. ; összefoglalás angol nyelven
Date Deposited: 2018. Nov. 06. 14:07
Last Modified: 2020. Jul. 29. 13:02

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