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
fDate :
6/21/1905 12:00:00 AM
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827788
