Title :
On the good use of the spectral radius of a matrix
Author :
Fuchs, Jean Jacques J
Author_Institution :
Laboratoire d´´Automatique, Rennes Cedex, France
fDate :
10/1/1982 12:00:00 AM
Abstract :
In a recent correspondence [1], attention was called to the "misuse" of spectral radius of system matrices in stability, analysis. An assertion made in [1] is elaborated on more precisely in this note. In addition, we present some interesting stability results for "slowly varying" linear systems, highlighting the crucial role played by the spectral radius in convergence analysis.
Keywords :
Linear systems, time-varying; Matrices; Stability, linear systems; Time-varying systems, linear; Adaptive control; Control theory; Convergence of numerical methods; Eigenvalues and eigenfunctions; Linear systems; Numerical analysis; Numerical stability; Printing; Programmable control; Stability analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1982.1103076
