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Abstract: We study linear variable coefficient control problems in descriptor form. Based on a behaviour approach and the general theory for linear differential algebraic systems we give the theoretical analysis and describe numerically stable methods to determine the structural properties of the system like solvability, regularity, model consistency and redundancy. We also discuss regularization via feedback. Keywords: descriptor systems, differential-algebraic equations, s-index, regularization,... (Update)
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...u 2 R n ; Supported by DFG research grant Ku964 4 1: Uber und unterbestimmte nichtlineare DAEs. 1 with n = n n u , see [27, 29]. For the case of control problems that include the output equation (3) we set x = 2 4 u y 3 5 2 R n with n = n n u n y . We...
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BibTeX entry: (Update)
P. Kunkel, V. Mehrmann, and W. Rath. Analysis and numerical solution of control problems in descriptor form. Technical Report SFB393/99-01, Sonderforschungsbereich 393, Technische Universitat Chemnitz. http://citeseer.ist.psu.edu/kunkel99analysis.html More
@misc{ kunkel-analysis,
author = "P. Kunkel and V. Mehrmann and W. Rath",
title = "Analysis and numerical solution of control problems in descriptor form",
text = "P. Kunkel, V. Mehrmann, and W. Rath. Analysis and numerical solution of
control problems in descriptor form. Technical Report SFB393/99-01, Sonderforschungsbereich
393, Technische Universitat Chemnitz.",
url = "citeseer.ist.psu.edu/kunkel99analysis.html" }
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