Delay-differential-algebraic equations in control theory

Authors:
L. F. Shampine;P. Gahinet
Affiliations:
Mathematics Department, Southern Methodist University, Dallas, TX 75275, USA;The MathWorks, 3 Apple Hill, Natick, MA 01760, USA
Venue:
Applied Numerical Mathematics
Year:
2006

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Abstract

Linear time invariant systems are basic models in control theory. When they are generalized to include state delays, the resulting models are described by a system of delay-differential-algebraic equations. We exploit the special properties of the models that arise in our control theory application to solve these difficult problems with enough accuracy and enough speed for design purposes.