Title :
An approach to non-standard J-spectral factorization by generalized algebraic Riccati equation
Author :
Kawamoto, Atsushi ; Katayama, Tohru
Author_Institution :
Dept. of Appl. Math. & Phys., Kyoto Univ., Japan
Abstract :
Considers a J-spectral factorization of a rational spectral matrix, which is related to the non-standard H∞ control problem for a descriptor system. We show that the existence of the J-spectral factor is equivalent to the existence of a semi-stabilizing solution of a generalized algebraic Riccati equation
Keywords :
Riccati equations; compensation; eigenvalues and eigenfunctions; matrix decomposition; poles and zeros; descriptor system; generalized algebraic Riccati equation; nonstandard H∞ control problem; nonstandard J-spectral factorization; rational spectral matrix; semi-stabilizing solution; Centralized control; Control systems; Mathematics; Matrix decomposition; Optimal control; Physics; Polynomials; Reduced order systems; Riccati equations; Symmetric matrices;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831419
