Title :
A note on extension of the eigenvalue concept
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
Two parametrized linear periodic systems, intended for use in advanced senior and graduate control courses, are presented. They are used to demonstrate the issues arising in attempting to extend the eigenvalue concept for linear time-invariant systems to linear time-varying systems.<>
Keywords :
control engineering; control theory; educational courses; eigenvalues and eigenfunctions; linear systems; time-varying systems; educational course; eigenvalue concept; graduate control courses; inear time-varying systems; linear time-invariant systems; parametrized linear periodic systems; Control systems; Eigenvalues and eigenfunctions; Robust stability; Stability analysis; Stability criteria; Time varying systems; Upper bound;
Journal_Title :
Control Systems, IEEE