Email this article On the global Lyapunov reducibility of two-dimensional linear systems with locally integrable coefficients
- Authors: Kozlov A.A.1, Ints I.V.1
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Affiliations:
- Polotsk State University
- Issue: Vol 52, No 6 (2016)
- Pages: 699-721
- Section: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153847
- DOI: https://doi.org/10.1134/S0012266116060021
- ID: 153847
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Abstract
We show that if a two-dimensional linear nonstationary control system with locally integrable and integrally bounded coefficients is uniformly completely controllable, then the corresponding linear differential system closed with a measurable bounded control linear in the state variables has the property of global Lyapunov reducibility.
About the authors
A. A. Kozlov
Polotsk State University
Author for correspondence.
Email: kozlovaa@tut.by
Belarus, Polotsk
I. V. Ints
Polotsk State University
Email: kozlovaa@tut.by
Belarus, Polotsk
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