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JournalISSN: 0265-0754

Ima Journal of Mathematical Control and Information 

Oxford University Press
About: Ima Journal of Mathematical Control and Information is an academic journal published by Oxford University Press. The journal publishes majorly in the area(s): Controllability & Optimal control. It has an ISSN identifier of 0265-0754. Over the lifetime, 1299 publications have been published receiving 16464 citations. The journal is also known as: Institute of Mathematics and its Applications journal of mathematical control and information.


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Journal ArticleDOI
TL;DR: In this paper, the authors present necessary and sufficient conditions for the existence of a feedback control so that the resulting closed-loop neutral functional differential equation is strongly exponentially stable, i.e., it is exponentially stable when subjected to small variations in the delays.
Abstract: A linear neutral functional differential equation is called strongly exponentially stable if it is exponentially stable when subjected to small variations in the delays. In this paper we present necessary and sufficient conditions for the existence of a feedback control so that the resulting closed-loop neutral functional differential equation is strongly exponentially stable.

240 citations

Journal ArticleDOI
TL;DR: In this paper, the authors study the analysis involved with Volterra series operators, and prove a general Steady-state theorem for the spectrum of the output of a VOLTERRA series operator in terms of a periodic input.
Abstract: In this paper we carefully study the analysis involved with Volterra series. We address system-theoretic issues ranging from bounds on the gain and incremental gain of Volterra series operators to the existence of Volterra series operator inverses, and mathematical topics such as the relation between Volterra series operators and Taylor series. The proofs are complete, and use only the basic facts of analysis. We prove a general Steady-state theorem for Volterra series operators, and then establish a general formula for the spectrum of the output of a Volterra series operator in terms of the spectrum of a periodic input. This paper is meant to complement recent work on Volterra series expansions for dynamical systems.

222 citations

Performance
Metrics
No. of papers from the Journal in previous years
YearPapers
202322
202256
202159
202058
201965
201850