Regularization of linear and nonlinear descriptor systems

Differential-algebraic equations (DAEs) present today the state-of-the-art in dynamical systems arising from automated modularized modeling in almost all areas of science and engineering. While the modeling becomes more and more convenient, the resulting models are typically not easy to treat with current numerical simulation, control and optimization methods. In many cases a reformulation of the models or even a regularization is necessary to avoid failure of the computational methods. In this contribution we will discuss general DAE control problems and how they can be systematically reformulated and regularized so that the resulting system can be used in control and optimization procedures without much further difficulties.

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