Journal of Inequalities and Applications
Volume 6 (2001), Issue 4, Pages 373-385

Upper bounds on the solution of coupled algebraic riccati equation

Adam Czornik and Andrzej Świerniak

Department of Automatic Control, Silesian Technical University, Akademicka 16, Gliwice 44-101, Poland

Received 10 September 1999; Revised 26 January 2000

Copyright © 2001 Adam Czornik and Andrzej Świerniak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Upper bounds for eigenvalues of a solution to continuous time coupled algebraic Riccati equation (CCARE) and discrete time coupled algebraic Riccati equation (DCARE) are developed as special cases of bounds for the unified coupled algebraic Riccati equation (UCARE). They include bounds of the maximal eigenvalues, the sums of the eigenvalues and the trace.