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Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality

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Języki publikacji
EN
Abstrakty
EN
This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov–Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous results. Finally, two numerical examples are given to illustrate the advantages of the obtained results.
Rocznik
Strony
201--211
Opis fizyczny
Bibliogr. 51 poz., wykr.
Twórcy
autor
  • College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China
autor
  • College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China
autor
  • Department of Mathematics, Southeast University, Nanjing 210096, China
autor
  • Academic Affairs Division, Zhejiang Normal University, Jinhua 321004, China
autor
  • College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China
Bibliografia
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  • [27] Sakthivel, R., Samidurai, R. and Anthoni, S. (2010a). Asymptotic stability of stochastic delayed recurrent neural networks with impulsive effects, Journal of Optimization Theory and Applications 147(3): 583–596.
  • [28] Sakthivel, R., Samidurai, R. and Anthoni, S. (2010b). Exponential stability for stochastic neural networks of neutral type with impulsive effects, Modern Physics Letters B 24(11): 1099–1110.
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  • [38] Wu, B., Liu, Y. and Lu, J. (2012a). New results on global exponential stability for impulsive cellular neural networks with any bounded time-varying delays, Mathematical and Computer Modelling 55(3–4): 837–843.
  • [39] Wu, B., Han, J. and Cai, X. (2012b). On the practical stability of impulsive differential equations with infinite delay in terms of two measures, Abstract and Applied Analysis 2012: 434137.
  • [40] Xu, B., Liu, X. and Liao, X. (2003). Global asymptotic stability of high-order hopfield type neural networks with time delays, Computers & Mathematics with Applications 45(10–11): 1729–1737.
  • [41] Xu, B., Liu, X. and Teo, K. (2009). Asymptotic stability of impulsive high-order hopfield type neural networks, Computers & Mathematics with Applications 57(11–12): 1968–1977.
  • [42] Xu, B., Xu, Y. and He, L. (2011). LMI-based stability analysis of impulsive high-order Hopfield-type neural networks, Mathematics and Computers in Simulation, DOI: 10.1016/j.matcom.2011.02.008.
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  • [44] Yang, Z. and Xu, D. (2005). Stability analysis of delay neural networks with impulsive effects, IEEE Transactions on Circuits and Systems II: Express Briefs 52(8): 517–521.
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  • [47] Zhang, H., Ma, T., Huang, G. and Wang, Z. (2010). Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 40(3): 831–844.
  • [48] Zhang, Q., Yang, L. and Liao, D. (2011). Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays, International Journal of Applied Mathematics and Computer Science 21(4): 649–658, DOI: 10.2478/v10006-011-0051-9.
  • [49] Zhang, Y. and Sun, J. (2010). Stability of impulsive linear hybrid systems with time delay, Journal of Systems Science and Complexity 23(4): 738–747.
  • [50] Zheng, C., Zhang, H. and Wang, Z. (2011). Novel exponential stability criteria of high-order neural networks with time-varying delays, IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics 41(2): 486–496.
  • [51] Zhou, J. and Wu, Q. (2009). Exponential stability of impulsive delayed linear differential equations, IEEE Transactions on Circuits and Systems II: Express Briefs 56(9): 744–748.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d42e8d71-bc7a-4c31-bb90-486ca2b8198e
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