FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

Impulse control of Liapunov exponents. II

D. M. Olenchikov

Abstract

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The systems $\$\; \backslash dot\; x\; =\; A\_0(t)\; +\; \backslash sum\; \_\{i=1\}^\{\backslash infty\; \}\; \backslash delta\; (t-t\_i)\; A\_i(t)\; \$$, 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.

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Last modified: July 5, 2002