A new stability criterion for fast periodic linear systems is given of the form: dx/dt equals (A plus alpha / epsilon B(t/ epsilon ))x. We show that there exists epsilon //0 such that for any 0 less than epsilon less than equivalent to epsilon //0 the asymptotic stability and instability of the trivial solution is determined by the eigenvalues of a constant matrix.
|Original language||English (US)|
|Number of pages||2|
|Journal||Proceedings of the American Control Conference|
|State||Published - 1984|
ASJC Scopus subject areas
- Control and Systems Engineering