О глобальной управляемости полной совокупности ляпуновских инвариантов периодических систем

Abstract

It is proved that a property of uniform complete controllability of the periodic system $\dot x=B(t)u, t\in\R, x\in\R^n, u\in\R^m$ and a property of global controllability of complete totality of Lyapunov' invariants of this system are equivalent.