Email this article Stable Functionals of Neutral-Type Dynamical Systems
- Authors: Lukoyanov N.Y.1,2, Plaksin A.R.1,2
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Affiliations:
- N. N. Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University named after the First President of Russia B. N. Yeltsin
- Issue: Vol 304, No 1 (2019)
- Pages: 205-218
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175749
- DOI: https://doi.org/10.1134/S0081543819010140
- ID: 175749
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Abstract
We consider a controlled dynamical system under conditions of disturbances. Its motion is described by functional differential equations of neutral type in the form of J. Hale. A functional of the motion history is said to be stable with respect to this system if there exists a control strategy that guarantees the monotonicity of this functional for any disturbances. We study various nonlocal and infinitesimal conditions for the stability of functionals.
About the authors
N. Yu. Lukoyanov
N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin
Author for correspondence.
Email: nyul@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002
A. R. Plaksin
N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin
Author for correspondence.
Email: a.r.plaksin@gmail.com
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002
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