Title :
Upper and lower matrix bounds of the solution for the discrete Lyapunov equation
Author_Institution :
Dept. of Electr. Eng., Kung Shan Inst. of Technol., Tainan, Taiwan
fDate :
9/1/1996 12:00:00 AM
Abstract :
New matrix bounds of the solution for the discrete algebraic matrix Lyapunov equation are established. The upper and lower eigenvalue bounds such as each eigenvalue including the extreme ones, the trace, and the determinant are also determined by these matrix bounds for the same solution. The present schemes are tighter as compared with the majority of existing results
Keywords :
Lyapunov matrix equations; eigenvalues and eigenfunctions; discrete algebraic matrix Lyapunov; eigenvalue bounds; lower matrix bounds; upper matrix bounds; Control system analysis; Control systems; Councils; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
