Stable Functionals of Neutral-Type Dynamical Systems
- 作者: Lukoyanov N.Y.1,2, Plaksin A.R.1,2
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隶属关系:
- N. N. Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University named after the First President of Russia B. N. Yeltsin
- 期: 卷 304, 编号 1 (2019)
- 页面: 205-218
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175749
- DOI: https://doi.org/10.1134/S0081543819010140
- ID: 175749
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详细
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.
作者简介
N. Lukoyanov
N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin
编辑信件的主要联系方式.
Email: nyul@imm.uran.ru
俄罗斯联邦, 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
编辑信件的主要联系方式.
Email: a.r.plaksin@gmail.com
俄罗斯联邦, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002
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