Title :
A stability criterion for periodically time-varying systems
Author :
Lal, Manoj ; Avasthy, P.N.
Abstract :
A generalized stability criterion for a periodically time-varying system is derived. It is shown that a time-varying system with the time-varying parameters having period T is stable if and only if the eigenvalues µiof the state transition matrix at t = T, i.e., Φ(T), satisfy the condifio |µ1| < 1. The simple testing procedure is illustrated with the help of suitable examples.
Keywords :
Differential equations; Eigenvalues and eigenfunctions; H infinity control; Matrices; Polynomials; Stability criteria; Testing; Time varying systems; Writing; Yttrium;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1969.6930
