Title :
On the Lyapunov matrix differential equation
Author :
Mori, Takayoshi ; Fukuma, Norio ; Kuwahara, Michiyoshi
Author_Institution :
Kyoto University, Kyoto, Japan
fDate :
9/1/1986 12:00:00 AM
Abstract :
A lower bound for the determinant of the solution to the Lyapunov matrix differential equation is derived. It is shown that this bound is obtained as a solution to a simple scalar differential equation. In the limiting case where the solution to the Lyapunov differential equation becomes stationary, the result reduces to one of the existing bounds for the algebraic equation.
Keywords :
Determinants; Lyapunov matrix equations; Arithmetic; Automation; Differential algebraic equations; Differential equations; Eigenvalues and eigenfunctions; H infinity control; Helium; Integral equations; Matrices; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1986.1104416
