Approximation of the Sections of the Set of Trajectories of the Control System Described by a Nonlinear Volterra Integral Equation

Autor:	Anar Huseyin, Nesir Huseyin, Khalik G. Guseinov
Jazyk:	angličtina
Rok vydání:	2015
Předmět:	nonlinear Volterra integral equation control system integral constraint set of trajectories approximation method Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 20, Iss 4 (2015)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2015.1070766
Popis:	Approximation of the sections of the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. The admissible control functions are chosen from the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. The set of admissible control functions is replaced by the set of control functions, which includes a finite number of control functions and generates a finite number of trajectories. It is proved that the sections of the set of trajectories can be approximated by the sections of the set of trajectories, generated by a finite number of control functions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ecf1c9c5bd9a4e68a172a786ada4fa4d Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF