FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2002, VOLUME 8, NUMBER 1, PAGES 171-185
D. M. Olenchikov
Abstract
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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.
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Last modified: July 5, 2002