Inversion of Hyperoutput Time-Delay Systems


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Abstract

The inversion of a linear time-invariant time-delay system is considered. For such systems, a canonical form with isolated zero dynamics is obtained, system invariant zeros are investigated, and their relation to the spectral observability of the zero-dynamics subsystem is described. Based on these results, an inversion algorithm for time-delay systems is suggested.

About the authors

A. V. Il’in

Department of Mathematics, School of Science,
Hangzhou Dianzi University; Faculty of Computational Mathematics and Cybernetics, Moscow State University; Center of Information Technologies in Design,
Russian Academy of Sciences; Institute for Systems Analysis, Federal Research Center “Computer Science and Control,” Russian Academy
of Sciences

Author for correspondence.
Email: iline@cs.msu.ru
China, Hangzhou; Moscow, 119992; Odintsovo, Moscow oblast, 143000; Moscow

E. I. Atamas’

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Author for correspondence.
Email: eatamas@cs.msu.ru
Russian Federation, Moscow, 119992

V. V. Fomichev

Department of Mathematics, School of Science,
Hangzhou Dianzi University; Faculty of Computational Mathematics and Cybernetics, Moscow State University; Center of Information Technologies in Design,
Russian Academy of Sciences; Institute for Systems Analysis, Federal Research Center “Computer Science and Control,” Russian Academy
of Sciences; Trapeznikov Institute of Control Sciences,
Russian Academy of Sciences

Author for correspondence.
Email: fomichev@cs.msu.ru
China, Hangzhou; Moscow, 119992; Odintsovo, Moscow oblast, 143000; Moscow; Moscow, 117997

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