Email this article Frequency Conditions for the Convergence of Control Systems in a Neighborhood of the Program Manifold
- Authors: Zhumatov S.S.1
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Affiliations:
- Institute of Mathematics and Mathematical Simulation, Ministry of Education and Science of Kazakhstan Republic
- Issue: Vol 226, No 3 (2017)
- Pages: 260-269
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239965
- DOI: https://doi.org/10.1007/s10958-017-3532-z
- ID: 239965
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Abstract
We study conditions for the convergence of nonlinear control systems in a neighborhood of the program manifold. Sufficient conditions of convergence are obtained for the basic control system. We establish the frequency conditions guaranteeing the convergence of the program manifold with respect to a vector function ω:We also find a sufficient condition and a necessary and sufficient condition for the convergence with respect to a parameter.
About the authors
S. S. Zhumatov
Institute of Mathematics and Mathematical Simulation, Ministry of Education and Science of Kazakhstan Republic
Author for correspondence.
Email: sailau.math@mail.ru
Kazakhstan, Pushkin Str., 125, Alma-Ata, 050010
