Abstract:
The systems $\dot x=A_0(t)+\sum\limits_{i=1}^{\infty}\delta(t-t_i)A_i(t)$, where $\delta(\cdot)$ is Dirac's delta-function, are investigated. It is proved that the basic results of Liapunov exponents theory remain valid for such systems. The theory of impulse control of Liapunov exponents is developed.