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Avtomatika i Telemekhanika, 2011, Issue 1, Pages 42–65
(Mi at1267)
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This article is cited in 22 scientific papers (total in 22 papers)
Deterministic Systems
Stability investigation for linear periodic time-delayed systems using Fredholm theory
B. P. Lampea, E. N. Rosenwasserb a University of Rostock, Rostock, Germany
b State University of Ocean Technology, St. Petersburg, Russia
Abstract:
A single-loop linear periodic system with time delay is considered. Using the mathematical tool of integral Fredholm equations of the second kind, a characteristic function is constructed, the roots of which are inverses of the multipliers of the system. Rigorous sufficient stability conditions are given, which are based on approximate representation of the characteristic function in the form of a polynomial.
Citation:
B. P. Lampe, E. N. Rosenwasser, “Stability investigation for linear periodic time-delayed systems using Fredholm theory”, Avtomat. i Telemekh., 2011, no. 1, 42–65; Autom. Remote Control, 72:1 (2011), 38–60
Linking options:
https://www.mathnet.ru/eng/at1267 https://www.mathnet.ru/eng/at/y2011/i1/p42
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Statistics & downloads: |
Abstract page: | 552 | Full-text PDF : | 121 | References: | 58 | First page: | 18 |
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