Title :
On properness of impulsive extension
Author :
Karamzin, Dmitry ; de Oliveira, Valmir ; Pereira, Fernando ; Silva, Gloria
Author_Institution :
UNESP, Sao Jose do Rio Preto, Brazil
Abstract :
This article investigates properness of an impulsive extension of the conventional optimal control problem. This includes both the correctness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems. Correctness in the classic Cauchy sense is proved. New approximation lemmas are introduced proved that guarantee the sensitivity to small perturbations in control variables. Filippov-type existence theorems are established.
Keywords :
optimal control; perturbation techniques; Filippov-type existence theorem; approximation lemmas; classic Cauchy sense; impulsive control systems; impulsive extension properness; optimal control problem; ordinary differential systems; perturbation; Aerospace electronics; Approximation methods; Atomic measurements; Trajectory; Vectors;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862316
