Generalized discrete Halanay inequalities and the asymptotic behavior of nonlinear discrete systems

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참고문헌 (25)

1. R. P. Agarwal, "New discrete Halanay inequalities: stability of difference equations", Commun. Appl. Anal, 12(1), pp.83~90 (2008)
2. R. P. Agarwal, "Advanced Topics in Difference Equations, In Mathematics and its Applications, vol. 404" (1997), Kluwer
3. C. T. H. Baker, "Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag", J. Comput. Appl. Math, 234(9), pp.2663~2682 (2010)
4. E. Beckenbach, "Inequalities" (1961), Springer-Verlag
5. L. Berezansky, "Global dynamics of one class of nonlinear nonau- tonomous systems with time-varying delays", Nonlinear Anal, 74(18), pp.7499~7512 (2011)
6. J. D. Cao, "Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays", Neural Networks, 17, pp.379~390 (2004)
7. E. Fridman, "Robust sampled-data control of a class of semilinear parabolic systems", Automatica J. IFAC, 48(5), pp.826~836 (2012)
8. K. Gopalsamy, "Stability and Oscillations in Delay Differential Equations of Population Dynamics" (1992), Kluwer Academic
9. A. Halanay, "Differential Equations: Stability, Oscillations, Time Lags" (1966), Academic Press
10. E. Liz, "A Note on the global stability of generalized difference equations", Appl. Math. Lett, 15(6), pp.655~659 (2002)
11. E. Liz, "Existence and stability of almost periodic solutions for quasi- linear delay systems and Halanay inequality", J. Math. Anal. Appl, 248(2), pp.625~644 (2000)
12. S. Mohamad, "Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks", Phys. D, 159(3), pp.233~251 (2001)
13. S. Mohamad, "Exponential stability of artificial neural networks with distributed delays and large impulses", Nonlinear Anal. Real World Appl, 9(3), pp.872~888 (2008)
14. P. Niamsup, "Stability of time-varying switched systems with time-varying delay", Non- linear Anal. Hybrid Syst, 3(4), pp.631~639 (2009)
15. H. J. Tian, "The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag", J. Math. Anal. Appl, 270(1), pp.143~149 (2002)
16. S. Udpin, "New discrete type inequalities and global stability of nonlinear difference equations", Appl. Math. Lett, 22(6), pp.856~859 (2009)
17. L. P. Wen, "Generalized Halanay inequalities for dissipativity of Volterra functional differential equations", J. Math. Anal. Appl, 347(1), pp.169~178 (2008)
18. D. Y. Xu, "A new nonlinear integro-differential inequality and its application", Appl. Math. Lett, 22(11), pp.1721~1726 (2009)
19. D. Y. Xu, "New results for studying a certain class of nonlinear delay differential systems", IEEE Trans. Automat. Control, 55(7), pp.1641~1645 (2010)
20. D. Y. Xu, "Impulsive delay differential inequality and stability of neural networks", J. Math. Anal. Appl, 305(1), pp.107~120 (2005)
21. Liguang Xu, "Exponential P-Stability of Singularly Perturbed Impulsive Stochastic Delay Differential Systems", International Journal of Control, Automation, and Systems, 9(5), pp.966~972 (2011), 제어·로봇·시스템학회
22. L. G. Xu, "Mean square exponential stability analysis of impulsive stochastic switched systems with mixed delays", Comput. Math. Appl, 62(1), pp.109~117 (2011)
23. L. G. Xu, "Exponential stability of nonlinear impulsive neutral integro- differential equations", Nonlinear Anal, 69(9), pp.2910~2923 (2008)
24. Z. G. Yang, "Mean square exponential stability of impulsive stochastic difference equations", Appl. Math. Lett, 20(8), pp.938~945 (2007)
25. H. Y. Zhao, "Periodic oscillation of discrete-time bidirectional associative memory neural networks", Neurocomputing, 70, pp.2924~2930 (2007)

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