(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 1, PAGES 171-185

## Impulse control of Liapunov exponents. II

D. M. Olenchikov

Abstract

View as HTML     View as gif image    View as LaTeX source

The systems $\dot x = A_0\left(t\right) + \sum _\left\{i=1\right\}^\left\{\infty \right\} \delta \left(t-t_i\right) A_i\left(t\right)$, where d (×) 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.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k02/k021/k02114h.htm