This article is cited in 4 papers

Investigation of convergence of large scale almost periodic systems by means of comparison vector functions with components as forms of even degrees

A. A. Kosov

Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, 134 Lermontov str., Irkutsk, 664033 Russia

Abstract: By the V. M. Matrosov's comparison method we obtain sufficient conditions of convergence for large scale almost periodic system of the differential equations. As components of comparison vector functions we use the homogeneous forms of even degrees. We propose a new approach to construction of comparison system that leads to the best results with respect to known F. N. Bailey's, D. D. Siljak's and V. D. Furasov's approaches.

Keywords: convergence, V. M. Matrosov's comparison method, vector Lyapunov function, almost periodic solutions.

UDC: 517.925

Received: 13.01.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:7, 21–30

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