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Yugoslav Journal of Operations Research, 2013, Volume 23, Issue 3, Pages 355–365
DOI: https://doi.org/10.2298/YJOR121005026M
(Mi yujor2)
 

An estimation from within of reachable set of nonlinear R. Brockett integrator with small nonlinearity

A. Moussaa, M. S. Nikolskiib

a Department of Mathematics and Computer Science Faculty of Sciences, Abdou Moumouni University BP: 10662 Niamey-NIGER
b Steklov Mathematical Institute, Russian Academy of Sciences, 119991, Moscow-RUSSIA, Gubkina str., 8
Abstract: In this paper, the nonlinear R. Brockett integrator with small nonlinear addition to the right-hand side of the corresponding differential equations is considered. More precisely, investigating the possibility to estimate from within the corresponding reachable set, we have obtained an efficient form of the ellipsoidal estimation from within. We used our previous results on the similar theme.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-12112
12-01-00175
12-01-00506
This work was supported by the Russian Foundation of Basic Research, project: 11-01-12112-ofi-m-2011,12-01-00175 and 12-01-00506.
Received: 01.10.2012
Accepted: 01.11.2012
Bibliographic databases:
Document Type: Article
MSC: 49J10
Language: English
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