A non‐standard  J ‐spectral factorization of rational matrices via zero compensator approach | Zendy

Kawamoto Atsushi | Zendy; Katayama Tohru | Zendy

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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.

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