20.500.12556/RUL-110027 Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions We consider a nonlinear optimal control problem governed by a nonlinear evolution inclusion and depending on a parameter ▫$\lambda$▫. First we examine the dynamics of the problem and establish the nonemptiness of the solution set and produce continuous selections of the solution multifunction ▫$\xi \mapsto S(\xi)$▫ (▫$\xi$▫ being the initial condition). These results are proved in a very general framework and are of independent interest as results about evolution inclusions. Then we use them to study the sensitivity properties of the optimal control problem. We show that we have Hadamard well-posedness (continuity of the value function), and we establish the continuity properties of the optimal multifunction. Finally, we present an application on a nonlinear parabolic distributed parameter system. evolution triple evolution inclusion PG and G convergence compact embedding Hadamard well-posedness true false true Angleški jezik Ni določen Članek v reviji 2019-09-11 09:44:51 2019-09-11 09:44:52 2022-08-22 03:41:10 0000-00-00 00:00:00 2017 0 0 Str. 199-235 iss. 2 Vol. 6 2017 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.951/.952 2191-9496 10.1515/anona-2016-0096 17696089 16253785 RAZ_Papageorgiou_Nikolaos_Socrates_i2017.pdf RAZ_Papageorgiou_Nikolaos_Socrates_i2017.pdf 1 70F17F71EE4ABD3123BD6AD64188514D e55075d69d400b352b0a459c3ae560ef349ef192b41605bba366cfe12eb620af 041060d2-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121646 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0