Title :
On norm bounds for algebraic Riccati and Lyapunov equations
Author :
Patel, R.V. ; Toda, M.
Author_Institution :
University of Waterloo, Waterloo, Ontario, Canada
fDate :
2/1/1978 12:00:00 AM
Abstract :
New lower bounds on the spectral norms of the positive definite solutions to the continuos and discrete algebraic matrix Riccati and Lyapunov equations are derived. These bounds are much easier to compute than previously available bounds and appear to be considerably tighter in many cases.
Keywords :
Algebraic Riccati equation (ARE); Lyapunov matrix equations; Riccati equations, algebraic; Automatic control; Councils; Eigenvalues and eigenfunctions; Linear matrix inequalities; Matrices; NASA; Riccati equations; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1978.1101676
