Title :
On bounds of the Riccati and Lyapunov matrix equations
Author :
Kwon, B.H. ; Youn, M.J. ; Bien, Z.
Author_Institution :
Korea Advanced Institute of Science and Technology, Seoul, Korea
fDate :
11/1/1985 12:00:00 AM
Abstract :
Various bounds for the traces of the solutions of the algebraic Riccati and Lyapunov matrix equations are established in the continuous and discrete domain, respectively. The presented results give lower bounds for the sum of the eigenvalue of the matrix solutions.
Keywords :
Algebraic Riccati equation (ARE); Lyapunov matrix equations; Riccati equations, algebraic; Arithmetic; Control systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Riccati equations; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103858
