Email this article Stabilization algorithm for linear time-varying systems
- Authors: Fomichev V.V.1,2,3, Mal’tseva A.V.2, Shuping W.4
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Affiliations:
- Department of Mathematics, School of Science
- Lomonosov Moscow State University
- Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
- Institute of Operational Research and Cybernetics
- Issue: Vol 53, No 11 (2017)
- Pages: 1495-1500
- Section: Control Theory
- URL: https://journal-vniispk.ru/0012-2661/article/view/154625
- DOI: https://doi.org/10.1134/S0012266117110118
- ID: 154625
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Abstract
We consider the state feedback stabilization problem for a linear time-varying system. Attention is mainly paid to the reduction of the system to canonical form; to this end, we suggest an algorithm for constructing the transformation matrix. This algorithm is based on the solution of a hybrid system and, in contrast to the classical approach, does not require the multiple differentiability of the system parameters.
About the authors
V. V. Fomichev
Department of Mathematics, School of Science; Lomonosov Moscow State University; Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
Author for correspondence.
Email: fomichev@cs.msu.ru
China, Hangzhou, 310018; Moscow, 119991; Moscow, 117997
A. V. Mal’tseva
Lomonosov Moscow State University
Email: fomichev@cs.msu.ru
Russian Federation, Moscow, 119991
W. Shuping
Institute of Operational Research and Cybernetics
Email: fomichev@cs.msu.ru
China, Hangzhou, 310018
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