On optimality conditions for the guaranteed result in control problems for time-delay systems / Lukoyanov N. Yu. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2010. - V. 268, l. 1. - P. 175-187.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

Abstract:

For control problems under disturbance of dynamical systems described by differential equations with discrete and distributed time delays and with initial data satisfying the Lipschitz property, the corresponding Lipschitzness of the optimal guaranteed result functional is established and inequalities for its directional derivatives are obtained.

Author keywords:

optimal control; differential games; time-delay systems DIFFERENTIAL-GAMES; VISCOSITY SOLUTIONS; TRAJECTORIES; EQUATIONS

DOI:

10.1134/S0081543810050135

Web of Science ID:

ISI:000276615600013

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	DIFFERENTIAL-GAMES; VISCOSITY SOLUTIONS; TRAJECTORIES; EQUATIONS
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	nyul@imm.uran.ru
ResearcherID-Numbers	Lukoyanov , Nikolai/Q-6872-2016
Funding-Acknowledgement	Presidium of the Russian Academy of Sciences; Russian Foundation for Basic Research {[}09-01-00313]; Program for State Support of Leading Scientific Schools {[}NSh-2640.2008.1]
Funding-Text	This work was supported by the Program of the Presidium of the Russian Academy of Sciences ``Mathematical Control Theory,{''} by the Russian Foundation for Basic Research (project no. 09-01-00313), and by the Program for State Support of Leading Scientific Schools (project no. NSh-2640.2008.1).
Number-of-Cited-References	25
Usage-Count-Since-2013	1
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	582RH