caa a22 4500 463169123 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s10957-007-9205-1 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9205-1 Pytlak R. Faculty of Cybernetics, Military University of Technology, Warsaw, Poland aut Optimal Control of Differential-Algebraic Equations of Higher Index, Part 1: First-Order Approximations [Elektronische Daten] [R. Pytlak] This paper deals with optimal control problems described by higher index DAEs. We introduce aclass of these problems which can be transformed to index one control problems. For this class of higher index DAEs, we derive first-order approximations and adjoint equations for the functionals defining the problem. These adjoint equations are then used to state, in the accompanying paper, the necessary optimality conditions in the form of a weak maximum principle. The constructive way used to prove these optimality conditions leads to globally convergent algorithms for control problems with state constraints and defined by higher index DAEs. Springer Science+Business Media, LLC, 2007 Optimal control problems nationallicence Implicit systems nationallicence State-constrained control problems nationallicence Adjoint equations nationallicence Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 61-75 0022-3239 134:1<61 2007 134 10957 https://doi.org/10.1007/s10957-007-9205-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9205-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pytlak R. Faculty of Cybernetics, Military University of Technology, Warsaw, Poland aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 61-75 0022-3239 134:1<61 2007 134 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463169107 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer