Title :
Upper bounds for the eigenvalues of the solution of the discrete algebraic Lyapunov equation
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
fDate :
4/1/1990 12:00:00 AM
Abstract :
Upper bounds for summations including the trace, and for products including the determinant, of the eigenvalues of the solution of the discrete algebraic Lyapunov equation (DALE) are presented. All bounds are derived from the matrix series solution of the DALE. The majority of the bounds are tighter than those in the literature
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; matrix algebra; discrete algebraic Lyapunov equation; eigenvalues; matrix series; upper bounds; Algorithm design and analysis; Eigenvalues and eigenfunctions; Equations; Stability; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
