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On a numerical method for the regularization of descriptor systems
Author(s) -
Benner P.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115129
Subject(s) - regularization (linguistics) , singular value , singular value decomposition , sequence (biology) , mathematics , value (mathematics) , algorithm , control theory (sociology) , computer science , physics , artificial intelligence , chemistry , quantum mechanics , statistics , biochemistry , eigenvalues and eigenvectors , control (management)
We discuss a numerically stable algorithm, originally proposed in ]3[, that computes a regularizing output feedback for descriptor systems. In ]3[, the system is transformed to a condensed form via a sequence of singular value decompositions (SVDs). We show that the expensive SVDs can be replaced by reliable, more efficient orthogonal decompositions. Moreover, we demonstrate how the feedback is obtained from our slightly different condensed form.