GENERALIZED DISCRETE HALANAY INEQUALITIES AND THE ASYMPTOTIC BEHAVIOR OF NONLINEAR DISCRETE SYSTEMS

Xu, Liguang

doi:10.4134/BKMS.2013.50.5.1555

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GENERALIZED DISCRETE HALANAY INEQUALITIES AND THE ASYMPTOTIC BEHAVIOR OF NONLINEAR DISCRETE SYSTEMS

Journal title : Bulletin of the Korean Mathematical Society
Volume 50, Issue 5, 2013, pp.1555-1565
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2013.50.5.1555

Title & Authors

GENERALIZED DISCRETE HALANAY INEQUALITIES AND THE ASYMPTOTIC BEHAVIOR OF NONLINEAR DISCRETE SYSTEMS
Xu, Liguang;

Abstract

In this paper, some new generalized discrete Halanay inequalities are established. On the basis of these new established inequalities, we obtain the attracting set and the global asymptotic stability of the nonlinear discrete systems. Our results established here extend the main results in [R. P. Agarwal, Y. H. Kim, and S. K. Sen, New discrete Halanay inequalities: stability of difference equations, Commun. Appl. Anal. 12 (2008), no. 1, 83-90] and [S. Udpin and P. Niamsup, New discrete type inequalities and global stability of nonlinear difference equations, Appl. Math. Lett. 22 (2009), no. 6, 856-859].

Keywords

Halanay inequality;discrete systems;attracting set;global asymptotic stability;

Language

English

Cited by

3time(s) in CrossRef

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Exponential ultimate boundedness of nonlinear stochastic difference systems with time-varying delays, International Journal of Control, 2015, 1

Stability analysis of a general family of nonlinear positive discrete time-delay systems, International Journal of Control, 2016, 89, 7, 1303

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