Transfer-Function Conditions for the Stability of Neutral and Volterra Integrodifferential Systems

1 March 1986

journal article
Published by Oxford University Press (OUP) in IMA Journal of Mathematical Control and Information

Vol. 3 (1) , 9-19
https://doi.org/10.1093/imamci/3.1.9

Abstract

In this paper we study the feedback interconnection (a) of two neutral systems and (b) of two Volterra integrodifferential systems. We show that under very mild assumptions the closed-loop system pair is internally stable iff every transfer funtion which occurs around the loop is holomorphic in a right half plane containing { s : Re s ≥0}.

Keywords

VOLTERRA INTEGRODIFFERENTIAL
INTEGRODIFFERENTIAL SYSTEMS
STABILITY
TRANSFER FUNCTION CONDITIONS
NEUTRAL

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