caa a22 4500 463169107 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s10957-007-9195-z doi (NATIONALLICENCE)springer-10.1007/s10957-007-9195-z Pytlak R. Faculty of Cybernetics, Military University of Technology, Warsaw, Poland aut Optimal Control of Differential-Algebraic Equations of Higher Index, Part 2: Necessary Optimality Conditions [Elektronische Daten] [R. Pytlak] This paper deals with optimal control problems described by higher index DAEs. We introduce a class of problems which can be transformed to index one control problems. For these problems we show in the accompanying paper that, if the solutions to the adjoint equations are well-defined, then the first-order approximations to the functionals defining the problem can be expressed in terms of the adjoint variables. In this paper we show that the solutions to the adjoint equations are essentially bounded measurable functions. Then, based on the first order approximations, we derive the necessary optimality conditions for the considered class of control problems. These conditions do not require the transformation of the DAEs to index-one system; however, higher-index DAEs and their associated adjoint equations have to be solved. Springer Science+Business Media, LLC, 2007 Optimal control problems nationallicence Necessary optimality conditions nationallicence Implicit systems nationallicence State-constrained control problems nationallicence Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 77-90 0022-3239 134:1<77 2007 134 10957 https://doi.org/10.1007/s10957-007-9195-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9195-z 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), 77-90 0022-3239 134:1<77 2007 134 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463169107 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer