DocumentCode
434735
Title
On the solvability of extended Riccati equations
Author
Barabanov, Nikita E. ; Ortega, Romeo
Author_Institution
North Dakota State Univ., Fargo, ND, USA
Volume
3
fYear
2004
fDate
14-17 Dec. 2004
Firstpage
2723
Abstract
Lur´e-Riccati equations are extended to the cases appearing in absolute stability and H∞ control theories with arbitrary pairs (A, B) and arbitrary quadratic cost functionals and/or IQC´s. The frequency domain function may be singular, the associated matrix pencil may have eigenvalues at infinity and Kronecker blocks. Necessary and sufficient conditions for solvability of these equations are provided, and all the solutions are described in terms of corresponding matrix pencil.
Keywords
H∞ control; Riccati equations; absolute stability; computability; matrix algebra; nonlinear systems; H∞ control theories; Lur´e-Riccati equations; absolute stability; arbitrary pairs; arbitrary quadratic cost functionals; extended Riccati equation solvability; frequency domain function; matrix pencil; Control theory; Cost function; Differential algebraic equations; Differential equations; Eigenvalues and eigenfunctions; Frequency domain analysis; H infinity control; Riccati equations; Stability; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2004. CDC. 43rd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-8682-5
Type
conf
DOI
10.1109/CDC.2004.1428873
Filename
1428873
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