Title :
Bounds in the Lyapunov matrix differential equation
Author :
Mori, T. ; Fukuma, N. ; Kuwahara, M.
Author_Institution :
Kyoto Univ. of Education, Kyoto, Japan
fDate :
1/1/1987 12:00:00 AM
Abstract :
Upper and lower bounds for the trace of the solution of the Lyapunov matrix differential equation are derived. It is shown that they are obtained as solutions to simple scalar differential equations. As a special case, the bounds for the stationary solution give ones for the solution to the Lyapunov algebraic equation.
Keywords :
Differential equations; Lyapunov matrix equations; Arithmetic; Circuits; Differential equations; Eigenvalues and eigenfunctions; Geometry; Linear matrix inequalities; Poles and zeros; Reduced order systems; Signal processing; System analysis and design;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1987.1104431
