On the Approximation of Nonlinear Conflict-Controlled Systems of Neutral Type / Lukoyanov N. Yu.,Plaksin A. R. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2016. - V. 292, l. 1. - P. S182-S196.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

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.

Author keywords:

neutral-type systems; control theory; differential games DIFFERENTIAL EQUATIONS

DOI:

10.1134/S0081543816020152

Web of Science ID:

ISI:000376272600015

Соавторы в МНС:

Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Keywords-Plus	DIFFERENTIAL EQUATIONS
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	nyul@imm.uran.ru a.r.plaksin@gmail.com
ResearcherID-Numbers	Lukoyanov , Nikolai/Q-6872-2016
Funding-Acknowledgement	Presidium of the Russian Academy of Sciences; Ural Branch of the Russian Academy of Sciences {[}12-P-1-1002]; Russian Foundation for Basic Research {[}12-01-00290-a, 14-01-31319-mol\_a]
Funding-Text	This work was supported by the Program of the Presidium of the Russian Academy of Sciences ``Dynamic Systems and Control Theory,{''} by the Ural Branch of the Russian Academy of Sciences (project no. 12-P-1-1002), and by the Russian Foundation for Basic Research (project nos. 12-01-00290-a and 14-01-31319-mol\_a).
Number-of-Cited-References	22
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	7
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	DM3UQ