Email this article On the approximation of nonlinear conflict-controlled systems of neutral type
- Authors: Lukoyanov N.Y.1,2, Plaksin A.R.1
-
Affiliations:
- Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 292, No Suppl 1 (2016)
- Pages: 182-196
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173342
- DOI: https://doi.org/10.1134/S0081543816020152
- ID: 173342
Cite item
Open Access
Access granted
Subscription Access
Abstract
We consider approximations of systems of nonlinear neutral-type equations in Hale’s form by systems of high-order ordinary differential equations. A procedure is given for the mutual feedback tracking between the motion of the original neutral-type conflict-controlled system and the motion of the approximating system of ordinary differential equations. The proposed mutual tracking procedure makes it possible to use approximating systems of ordinary differential equations as finite-dimensional modeling guides for neutral-type systems.
Keywords
About the authors
N. Yu. Lukoyanov
Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: nyul@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; pr. Lenina 51, Yekaterinburg, 620000
A. R. Plaksin
Institute of Mathematics and Mechanics
Email: nyul@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990
Supplementary files
