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On the Applications of the Frequency-Domain Method for Uniformly Dissipative Non-Linear Systems

✍ Scribed by Anthony Uyi Afuwape

Publisher: John Wiley and Sons
Year: 1987
Tongue: English
Weight: 336 KB
Volume: 130
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19871300119

No coin nor oath required. For personal study only.

✦ Synopsis

Abslract. In this paper, we introduce the idea of dual systems of the frequency-domain method for uniform dissipativity. We prove the equivalence of the frequency-domain conditions for dual systems and apply it to a third-order non-linear differential equation arising from the vacuum tube circuit problem studied by RAUCH [8]. A n earlier result of BARBALAT and HALAXAY [5] is obtained as a particular case. *) This work was carried out while the author was a Visiting CNR Research Fellow a t the Istituto di h a l i s i Globale e Applicazioni, Firenze, Italy.

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