Stable Functionals of Neutral-Type Dynamical Systems
- Авторы: Lukoyanov N.Y.1,2, Plaksin A.R.1,2
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Учреждения:
- N. N. Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University named after the First President of Russia B. N. Yeltsin
- Выпуск: Том 304, № 1 (2019)
- Страницы: 205-218
- Раздел: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175749
- DOI: https://doi.org/10.1134/S0081543819010140
- ID: 175749
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Аннотация
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.
Об авторах
N. Lukoyanov
N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin
Автор, ответственный за переписку.
Email: nyul@imm.uran.ru
Россия, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002
A. Plaksin
N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin
Автор, ответственный за переписку.
Email: a.r.plaksin@gmail.com
Россия, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002
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