Title :
On the solvability of extended Riccati equations
Author :
Barabanov, Nikita E. ; Ortega, Romeo
Author_Institution :
North Dakota State Univ., Fargo, ND, USA
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;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428873
