TY - GEN A1 - Kunkel, Peter A1 - Mehrmann, Volker T1 - Necessary and sufficient conditions in the optimal control for general nonlinear differential-algebraic equations N2 - We study optimal control problems for general unstructured nonlinear differential-algebraic equations of arbitrary index. In particular, we derive necessary conditions in the case of linear-quadratic control problems and extend them to the general nonlinear case. We also present a Pontryagin maximum principle for general unstructured nonlinear DAEs in the case of restricted controls. Moreover, we discuss the numerical solution of the resulting two-point boundary value problems and present a numerical example. KW - nonlinear differential-algebraic equations KW - optimal control KW - maximum principle KW - solvability KW - necessary optimality conditions KW - sufficient optimality conditions KW - behavior approach KW - strangeness index KW - regularization Y1 - 2006 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/356 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3562 ER -