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Stability criteria for a class of differential inclusion systems with discrete and distributed time delays

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  • Sun, Yeong-Jeu

Abstract

In this paper, the global asymptotic stability for a class of differential inclusion systems with discrete and distributed time delays is investigated. Some delay-dependent criteria are proposed to guarantee the global asymptotic stability of the systems. Finally, a numerical example is provided to illustrate the use of the main results.

Suggested Citation

  • Sun, Yeong-Jeu, 2009. "Stability criteria for a class of differential inclusion systems with discrete and distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2386-2391.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2386-2391
    DOI: 10.1016/j.chaos.2007.07.002
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    References listed on IDEAS

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    1. Tu, Fenghua & Liao, Xiaofeng, 2005. "Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1499-1505.
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    3. J. J. Ye & Q. J. Zhu, 1997. "Perturbed Differential Inclusion Problems with Nonadditive L 1-Perturbations and Applications," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 189-208, January.
    4. Lien, Chang-Hua, 2006. "Further results on delay-dependent robust stability of uncertain fuzzy systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 422-427.
    5. Zhang, Hongbin & Li, Chunguang & Liao, Xiaofeng, 2005. "A note on the robust stability of neural networks with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 357-360.
    6. Liu, Jiang, 2005. "Global exponential stability of Cohen–Grossberg neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 935-945.
    7. Tzanko Donchev & Vasil Angelov, 1997. "Regular and singular perturbations of upper semicontinuous differential inclusion," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-8, January.
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