Title :
Matrix inequalities applicable to estimating solution sizes of Riccati and Lyapunov equations
Author_Institution :
NK Consultants, Seal Beach, CA, USA
fDate :
1/1/1989 12:00:00 AM
Abstract :
Simultaneous summation upper bounds for the eigenvalues of the matrix product XY are presented, where X, Y ε Rnxn, with Y symmetric and X arbitrary. These bounds are a generalization of tr (XY) bounds; the requirements on Y are relaxed, and the bound for tr (XY) is stronger than those shown in the literature
Keywords :
eigenvalues and eigenfunctions; matrix algebra; Lyapunov equations; Riccati equations; eigenvalues; matrix algebra; matrix inequalities; simultaneous summation upper bounds; Control theory; Eigenvalues and eigenfunctions; Linear matrix inequalities; Riccati equations; Seals; Stability; Symmetric matrices; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
