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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2002 Volume 8, Issue 1, Pages 171–185 (Mi fpm640)

This article is cited in 1 paper

Impulse control of Liapunov exponents. II

D. M. Olenchikov

Udmurt State University

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.

UDC: 517.977

Received: 01.07.1997



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