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IMA Journal of Mathematical Control and Information 1986 3(1):9-19; doi:10.1093/imamci/3.1.9
© 1986 by Institute of Mathematics and its Applications
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Transfer-Function Conditions for the Stability of Neutral and Volterra Integrodifferential Systems

HARTMUT LOGEMANN

Forschungsschwerpunkt Dynamische Systeme, Universität Bremen Bibliothekstraße, Postfach 330 440, 2800 Bremen 33, West Germany

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}.


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