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Criteria for unsafe and safe boundaries of the stability domain for equations with delay

✍ Scribed by L.Z. Fishman

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 372 KB
Volume: 61
Category: Article
ISSN: 0021-8928
DOI: 10.1016/s0021-8928(97)00087-7

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✦ Synopsis

Using the results of [l-5], criteria are obtained for unsafe and safe segments of the boundaries of the stability domain @SD) for equilibrium states of first-order equations with delay and systems of second-order equations with delay corresponding to a zero root and a pair of pure imaginary roots. It is shown for an oscillator with delay, unlike one without, that the BSD for its equilibrium state might be unsafe.

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