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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 5, Pages 1023–1037
(Mi smj2475)
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Asymptotic stability and estimates for the attraction domains of monotone difference systems
R. I. Kozlov Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
Abstract:
We generalize asymptotic stability criteria and estimates for attraction domains in the nonnegative cone for systems of autonomous difference equations with monotone discontinuous right-hand side.
Keywords:
difference equations, monotonicity, stability, attraction domain, estimates.
Received: 06.09.2012
Citation:
R. I. Kozlov, “Asymptotic stability and estimates for the attraction domains of monotone difference systems”, Sibirsk. Mat. Zh., 54:5 (2013), 1023–1037; Siberian Math. J., 54:5 (2013), 817–828
Linking options:
https://www.mathnet.ru/eng/smj2475 https://www.mathnet.ru/eng/smj/v54/i5/p1023
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