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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Date received: February 21, 2000. Date revised: November 14, 2000.
Rights and permissions
About this article
Cite this article
Kunkel, P., Mehrmann, V. Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems. Math. Control Signals Systems 14, 233–256 (2001). https://doi.org/10.1007/PL00009884
Issue Date:
DOI: https://doi.org/10.1007/PL00009884