Approximation of the set of trajectories of the nonlinear control system with limited control resources

Autor:	Nesir Huseyin, Anar Huseyin, Khalik Guseinov
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	control system nonlinear integral equation integral constraint set of trajectories approximation Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 23, Iss 1 (2018)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2018.010
Popis:	In this paper the control system described by a Urysohn type integral equation is studied. It is assumed that the control functions have integral constraint. Approximation of the set of trajectories generated by all admissible control functions is considered. Step by step way, the set of admissible control functions is replaced by a set consisting of a finite number of control functions which generates a finite number of trajectories. An evaluation of the Hausdorff distance between the set of trajectories of the system and the set, consisting of a finite number of trajectories is obtained.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c50d2405f66641a7873e173cb9ad8a6e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF