Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems |
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| Authors: | Peter Kunkel Volker Mehrmann |
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| Affiliation: | Fachbereich Mathematik, Carl von Ossietzky Universit?t Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany., DE
FB 3 Mathematik, MA 4-5, Technische Universit?t Berlin, D-10623 Berlin, Germany., DE
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| Abstract: | We study over- and underdetermined systems of nonlinear differential-algebraic equations. Such equations arise in many applications
in circuit and multibody system simulation, in particular when automatic model generation is used, or in the analysis and
solution of control problems in the behavior framework.?We give a general (local) existence and uniqueness theory and apply
the results to analyze when nonlinear implicit control problems can be made regular by state or output feedback.?The theoretical
analysis also leads immediately to numerical methods for the simulation as well as the construction of regularizing feedbacks.
Date received: February 21, 2000. Date revised: November 14, 2000. |
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| Keywords: | , ,Nonlinear differential-algebraic equations, Nonlinear control problems, Solvability, Model consistency, Behavior,,,,,approach, Strangeness index, Regularization, Feedback design, |
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