# American Institute of Mathematical Sciences

2016, 6(4): 447-472. doi: 10.3934/naco.2016020

## Solving higher index DAE optimal control problems

 1 Department of Mathematics, North Carolina State University, Raleigh, North Carolina, 27695-8205 2 Mathematisches Institut, Universität Leipzig, Augustusplatz 10, D-04109 Leipzig, Germany

Received  October 2016 Revised  November 2016 Published  December 2016

A number of methods have been proposed for solving optimal control problems where the process being optimized is described by a differential algebraic equation (DAE). However, many of these methods require special circumstances to hold or the user to have special software. In this paper we go over many of these options and discuss what is usually necessary for them to be successful. We use a nonlinear index three control problem to illustrate many of our observations..
Citation: Stephen Campbell, Peter Kunkel. Solving higher index DAE optimal control problems. Numerical Algebra, Control & Optimization, 2016, 6 (4) : 447-472. doi: 10.3934/naco.2016020
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