RT Journal Article
SR 00
ID doi:10.21538/0134-4889-2016-22-2-18-27
A1 Aseev, S.M.
T1 Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints
JF Trudy Instituta Matematiki i Mekhaniki UrO RAN
YR 2016
FD 2016-04
VO 22
IS 2
SP 18
OP 27
K1 optimal control, infinite horizon, unbounded controls, existence of a solution, the Pontryagin maximum principle
AB We consider a class of infinite-horizon optimal control problems with not necessarily bounded set of control constraints. Sufficient conditions for the existence of an optimal control are derived in the general nonlinear case by means of finite-horizon approximations and the tools of the Pontryagin maximum principle. Conditions guaranteeing the uniform local boundedness of optimal controls are also obtained.
SN 0134-4889
LK https://pure.iiasa.ac.at/id/eprint/13995/