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A non‐standard J ‐spectral factorization of rational matrices via zero compensator approach
Author(s) -
Kawamoto Atsushi,
Katayama Tohru
Publication year - 2003
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.698
Subject(s) - zero (linguistics) , mathematics , factorization , riccati equation , algebraic number , algebraic riccati equation , control theory (sociology) , compensation (psychology) , nonlinear system , control (management) , mathematical analysis , computer science , differential equation , algorithm , physics , psychology , philosophy , linguistics , quantum mechanics , artificial intelligence , psychoanalysis
This paper deals with a non‐standard J ‐spectral factorization problem (NS‐ J ‐SFP) that arises in he non‐standard H ∞ control problem for a descriptor system. We derive the solvability conditions for the NS‐ J ‐SFP by adapting the zero compensation technique due to Copeland and Safonov (Internat. J. Robust Nonlinear Control 1992; 2 :139) to the descriptor system. It is also shown that the solvability conditions of the NS‐ J ‐SFP are equivalent to the existence of a semi‐stabilizing solution of a generalized algebraic Riccati equation. Copyright © 2002 John Wiley & Sons, Ltd.