On the Stability of a Distributed Network

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1986 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 17, pages 38-45 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Ferreira, José M.;

doi: 10.1137/0517005

On the Stability of a Distributed Network

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Abstract

This paper is devoted to the study of the stability of a lossless transmission line network which is described by a one delay differential- difference equation of neutral type, involving three parameters. It is shown that for certain intervals of these parameters, asymptotic stability is available when the delay verifies a boundedness condition.

Keywords

delay differential-difference equation of neutral type, Stability theory of functional-differential equations, Stability of solutions to ordinary differential equations, transmission line network

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