Title :
Upper bounds for the eigenvalues of the solution of the Lyapunov matrix equation
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
fDate :
6/1/1990 12:00:00 AM
Abstract :
Eigenvalue upper bounds for the solution of the Lyapunov matrix equation are presented for single eigenvalues, summations of eigenvalues including the trace, and products of eigenvalues including the determinant. These bounds are compared to those for the trace and the extreme eigenvalues
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; matrix algebra; Lyapunov matrix equation; determinant; eigenvalues; products; summations; trace; upper bounds; Eigenvalues and eigenfunctions; Equations; H infinity control; Iterative algorithms; Poles and zeros; Polynomials; State feedback; State-space methods; Symmetric matrices; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on