Optimal control of causal differential-algebraic systems

0410831 20240103182242.320060210235959.9 Optimal control of causal differential-algebraic systems 26 s. cav_un_epca*02570170022-247XJournal of Mathematical Analysis and Applications2692 (2002)616-641Elsevier optimal control differential-algebraic equations existence theory 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*0021075 Valášek M. CZ 12A IAA1075005 GA AV ČR cav_un_auth*0012782 GA201/00/0768 GA ČR cav_un_auth*0005685 CEZ:AV0Z1075907 Existence theory of Filippov-Roxin type as well as a maximum principle for optimal control problem governed by nonlinear differential-algebraic equations of index 1 or 2 or 3 are formulated and proved. The index-3 case is illustrated on mechanical descriptor systems arising in robotics. BA MTR http://hdl.handle.net/11104/0130918 UTIA-B 20020045 2002 cav_un_epca*0257017 Journal of Mathematical Analysis and Applications 0022-247X 1096-0813 Roč. 269 č. 2 2002 616 641 Elsevier