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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 7, Pages 25–35
(Mi ivm9016)
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This article is cited in 4 scientific papers (total 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.
Received: 13.01.2014
Citation:
A. A. Kosov, “Investigation of convergence of large scale almost periodic systems by means of comparison vector functions with components as forms of even degrees”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 7, 25–35; Russian Math. (Iz. VUZ), 59:7 (2015), 21–30
Linking options:
https://www.mathnet.ru/eng/ivm9016 https://www.mathnet.ru/eng/ivm/y2015/i7/p25
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Abstract page: | 171 | Full-text PDF : | 59 | References: | 36 | First page: | 5 |
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