LMI-Based Criteria of Controllability and Observability for a Descriptor MIMO System


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Abstract

This paper develops simple LMI-based criteria of controllability and observability for a linear time-invariant descriptor (differential-algebraic) multiple-input multiple-output (MIMO) system. Several examples illustrate the efficiency of the developed criteria. A restriction of these criteria is that the number of inputs (outputs, respectively) must not be smaller than half the states of the space dimension.

About the authors

N. E. Zubov

Bauman Moscow State Technical University

Author for correspondence.
Email: nik.zubov@gmail.com
Russian Federation, Moscow

E. A. Mikrin

Korolev Rocket and Space Corporation Energiya

Email: nik.zubov@gmail.com
Russian Federation, Korolev

M. Sh. Misrikhanov

Bauman Moscow State Technical University

Email: nik.zubov@gmail.com
Russian Federation, Moscow

V. N. Ryabchenko

Korolev Rocket and Space Corporation Energiya

Email: nik.zubov@gmail.com
Russian Federation, Korolev


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