Inversion of MIMO systems with unstable zero dynamics


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Abstract

An inversion problem for a linear time-invariant MIMO system with possibly unstable zero dynamics is considered. Sufficient conditions for the invertibility of such systems are given, and an algorithm for invertor synthesis is proposed. The results are extended to time-delay systems with commensurable delays.

About the authors

A. V. Il’in

Department of Mathematics, School of Science; Faculty of Computational Mathematics and Cybernetics; Center of Information Technologies in Design

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

E. I. Atamas’

Faculty of Computational Mathematics and Cybernetics

Email: iline@cs.msu.ru
Russian Federation, Moscow, 119992

V. V. Fomichev

Department of Mathematics, School of Science; Faculty of Computational Mathematics and Cybernetics; Center of Information Technologies in Design; Trapeznikov Institute of Control Sciences

Email: iline@cs.msu.ru
China, Hangzhou; Moscow, 119992; Odintsovo, Moscow oblast, 143000; Moscow, 117997

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