Title :
Analysis of the Lyapunov equation using generalized positive real matrices
Author :
Dickinson, Bradley W.
Author_Institution :
Princeton University, Princeton, NJ, USA
fDate :
6/1/1980 12:00:00 AM
Abstract :
In this paper, a representation of the solution to the Lyapunov matrix equation is derived using generalized positive real matrices. As an application, some connections between the solution matrix and the classical Bezoutian matrix are made.
Keywords :
Lyapunov matrix equations; Positive real functions; Rational matrices; Eigenvalues and eigenfunctions; Equations; Stability; Sufficient conditions; Symmetric matrices; Terminology;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1980.1102391
