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Existence and global exponenetial stability of periodic solution of high-order Cohen-Grossberg neural network with impulses

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Języki publikacji
EN
Abstrakty
EN
Sufficient conditions are obtained for the existence and global exponential stability of periodic solution of high-order Cohen-Grossberg neural network with impulses by using Mawhin's continuation theorem of coincidence degree and by means of a method based differential inequality.
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Rocznik
Strony
323--338
Opis fizyczny
Bibliogr. 11 poz.
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autor
Bibliografia
  • [1] J. Cao, New results concerning exponential stability and periodic solutions of delayed cellular neural networks, Phys. Lett. A 307 (2003), 136-147.
  • [2] J. Cao, J. Liang, Boundedness and stability for Cohen-Grossberg neural networks with time-varying delays, J. Math. Anal. Appl. 296 (2004), 665-685.
  • [3] S. Guo, L. Huang, Periodic oscillation for a class of neural networks with variable coefficients, Nonlinear Anal. 6 (2005), 545-561.
  • [4] Z. Liu, L. Liao, Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays, J. Math. Anal. Appl. 290 (2004), 247-262.
  • [5] B. Liu, L. Huang, Existence and exponential stability of periodic solution of cellular neural networks with time-varying delays, J. Math. Anal. Appl. 290 (2004), 247-262.
  • [6] Y. K. Li, Z. Y. Xing, L. H. Lu, Existence and global exponential stability of periodic solution of a class of neural networks with impulses, Chaos, Solitons and Fractals 27 (2006), 437-445.
  • [7] Y. K. Li, Z. Y. Xing, Existence and global exponential stability of periodic solution of CNNs with impulses, Chaos, Solitons and Fractals 33 (2007), 1686-1693.
  • [8] H. Akca, R. Alassar, Z. Covacheva, E. Al-Zahrani, Continuous-time additive Hopfield neural networks with impulses, J. Math. Anal. Appl. 290 (2004), 436-451.
  • [9] Y. K. Li, L. Lu, Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses, Phys. Lett. A. 333 (2004), 62-71.
  • [10] R. E. Gains, J. L. Mawhin, Coincidence Degree and Nonlinear Differential Equations, Springer Verlag, Berlin 1977.
  • [11] H. Tokumarn, N. Adachi, T. Amemiya, Macroscopic stability of interconnected systems, In: 6th IFAC Congress, paper ID44. 4 (1975). 1-7.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0024-0010
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