Premium
New Upper Matrix Bounds with Power Form for the Solution of the Continuous Coupled Algebraic Riccati Matrix Equation
Author(s) -
Liu Jianzhou,
Wang Yanpei,
Zhang Juan
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1400
Subject(s) - algebraic riccati equation , mathematics , riccati equation , matrix (chemical analysis) , eigenvalues and eigenvectors , positive definite matrix , algebraic number , matrix difference equation , symmetric matrix , pure mathematics , algebra over a field , mathematical analysis , differential equation , physics , materials science , quantum mechanics , composite material
In this paper, using the structure and coefficient matrix of the continuous coupled algebraic Riccati matrix equation (CCARE), we firstly construct positive definite matrices with power form. Then, applying the variant of the CCARE and inequalities of positive definite matrices, utilizing the characteristics of special matrices and eigenvalue inequalities, we propose new upper matrix bounds with power form for the solution of the CCARE, which improve and extend some of the recent results. Finally, we give corresponding numerical examples to illustrate the effectiveness of the derived results.