LMI-Based Criteria of Controllability and Observability for a Descriptor MIMO System
- Authors: Zubov N.E.1, Mikrin E.A.2, Misrikhanov M.S.1, Ryabchenko V.N.2
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Affiliations:
- Bauman Moscow State Technical University
- Korolev Rocket and Space Corporation Energiya
- Issue: Vol 57, No 1 (2018)
- Pages: 18-24
- Section: Control in Deterministic Systems
- URL: https://journals.rcsi.science/1064-2307/article/view/220048
- DOI: https://doi.org/10.1134/S1064230718010148
- ID: 220048
Cite item
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