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A class of optimal solutions of the matrix Nehari‐extension problem
Author(s) -
Halikias G. D.
Publication year - 1991
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4590010104
Subject(s) - mathematics , extension (predicate logic) , multivariable calculus , matrix (chemical analysis) , class (philosophy) , operator (biology) , pure mathematics , mathematical analysis , computer science , biochemistry , chemistry , materials science , repressor , control engineering , artificial intelligence , transcription factor , engineering , composite material , gene , programming language
Abstract The degrees of freedom that are available in the solution set of the multivariable Nehari‐extension problem are used to minimize an 2 ‐type cost and an ‘entropy‐like’ cost associated with the smaller singular values of the (optimal) error system. The optimal extensions are constructed via a diagonalization procedure based on a (normalized) Schmidt pair of the Hankel operator induced by the function which is approximated.