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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 5, Pages 1023–1037 (Mi smj2475)  

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
References:
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
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 5, Pages 817–828
DOI: https://doi.org/10.1134/S0037446613050078
Bibliographic databases:
Document Type: Article
UDC: 517.962.24
Language: Russian
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
Citation in format AMSBIB
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\pages 1023--1037
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