DocumentCode
1695336
Title
On the limit of the solution set of singularly perturbed control differential inclusions
Author
Donchev, Tzanko ; Slavov, Iordan
Author_Institution
Dept. of Math., Univ. of Min. & Geol., Sofia, Bulgaria
Volume
4
fYear
1999
fDate
6/21/1905 12:00:00 AM
Firstpage
3340
Abstract
We investigate the convergence of the solution set for singularly perturbed differential inclusions using averaging technique. The limits of the fast solutions are considered as generalized solutions (i.e., Radon probability measures) of the degenerate system. In addition to the one-sided Lipschitz condition we prove the existence of a limit of the solution set in an appropriate topology
Keywords
convergence of numerical methods; differential equations; perturbation techniques; probability; topology; Lipschitz condition; Radon probability; averaging technique; convergence; degenerate system; differential inclusions; singularly perturbed control; topology; Aging; Control systems; Costs; Extraterrestrial measurements; Geology; Mathematics; Optimal control; Particle measurements; Topology; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location
Phoenix, AZ
ISSN
0191-2216
Print_ISBN
0-7803-5250-5
Type
conf
DOI
10.1109/CDC.1999.827788
Filename
827788
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