Title :
New series lower bounds for the solution of the continuous algebraic Riccati equation
Author :
Zhang, Juan ; Liu, Jianzhou
Author_Institution :
Dept. of Math. & Comput. Sci., Xiangtan Univ., Xiangtan, China
Abstract :
In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation (CARE), applying the properties of matrix´s Schur complement and special matrix inequality, we propose new series lower bounds for the solution of the CARE. Further, new lower matrix bounds for the solution of the CARE are developed. Finally, we give a corresponding numerical example to illustrate the effectiveness of the derived results.
Keywords :
Riccati equations; matrix algebra; CARE; continuous algebraic Riccati equation; matrix Schur complement; new series lower bounds; numerical example; special matrix inequality; Eigenvalues and eigenfunctions; Linear matrix inequalities; Presses; Riccati equations; Symmetric matrices;
Conference_Titel :
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-8036-4
DOI :
10.1109/ICEICE.2011.5777868
