Existence in optimal control problems of certain Fredholm integral equations

0410756 20240103182236.920060210235959.9 Existence in optimal control problems of certain Fredholm integral equations 20 s. cav_un_epca*02525950324-8569Control and Cybernetics303 (2001)303-322 optimal control integral equation Young measures cav_un_auth*0101187 Roubíček Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0212470 Schmidt W. H. DE 12A IAA1075005 GA AV ČR cav_un_auth*0012782 GA201/00/0768 GA ČR cav_un_auth*0005685 11320007 GA MŠk cav_un_auth*0212869 AV0Z1075907 Existence of an optimal control for certain systems governed by nonlinear Fredholm integral equations that are of a Hammerstein type with respect to the control is proved under convexity of the orientor field by using a relaxed problem. Then, this convexity assumption is put away by finer analysis of the maximum principle. Illustrative examples are presented. BA MTR http://hdl.handle.net/11104/0130844 UTIA-B 20010225 2001 cav_un_epca*0252595 Control and Cybernetics 0324-8569 Roč. 30 č. 3 2001 303 322