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A stability criterion for periodically time-varying systems

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3 Author(s)

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.

Published in:

Proceedings of the IEEE  (Volume:57 ,  Issue: 2 )