An approach to the problem of stabilizing systems with delay
type: Item
instance of: scholarly article
title: An approach to the problem of stabilizing systems with delay
zbMATH Open document ID: 0890.93073
DOI: 10.1016/S0021-8928(96)00068-8
author: I. M. Borkovskaya
author: V. M. Marchenko
published in: Journal of Applied Mathematics and Mechanics
publication date: 1998-01-12T00:00:00Z
review text: Servo systems describable by linear ODE's with constant delay are considered. The problem consists of designing a linear feedback network with delay (the controller) to render the system stable. Stability corresponds to the real parts of all eigenvalues being negative. The type of feedback network and the ``free parameters'' are chosen accordingly. The Wiener-Paley theorem on non-quasianalytic functions and its implications on the frequency response are used to exclude networks which are non-realizable (within the framework of linear theory). The publication is of interest mainly to `system engineers'.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34K35
zbMATH DE Number: 1080310
zbMATH Keywords: feedback stabilization
zbMATH Keywords: constant delay
zbMATH Keywords: Wiener-Paley theorem
zbMATH Keywords: frequency response
reviewed by: Igor Gumowski
MaRDI profile type: Publication
cites work: Q5427479
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full work available at URL: s0021-8928(96)00068-8
OpenAlex ID: W1979528069
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description: scientific article; zbMATH DE number 1080310