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Volume 22 Issue 2
Mar.  2000
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Cao Jinde. GLOBAL ASYMPOTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 2000, 22(2): 253-259.
Citation: Cao Jinde. GLOBAL ASYMPOTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 2000, 22(2): 253-259.

GLOBAL ASYMPOTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS

  • Received Date: 1998-05-12
  • Rev Recd Date: 1999-05-29
  • Publish Date: 2000-03-19
  • This paper analyses further global asympototic stability of a class of delayed cellular neural networks by means of Lyapunov functional method and new inequality a2b(2a3+b3)/3, (a,b0) analysis technique, and some new sufficient criteria are obtained. These criteria are of theoretical and applicable important significance in the design of globally stable networks.
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  • Chua L O, Yang L. Cellular neural networks: Theory. IEEE Trans., 1988, CAS-35(10): 1257-1272.[2]Chua L O, Yang L. Cellular neural networks: Applications. IEEE Trans.,1988, CAS-35(10):1273-1290.[3]Roska T, Chua L O. Cellular neural networks with nonlinear and delay-type template[J].Int. J.Circuit Theory Appl.1992, 20:469-481[4]廖晓昕.细胞神经网络的数学理论(Ⅱ).中国科学,1994,24(10):1037-1046.[5]Civalleri P P, Gilli M. On stability of cellular neural networks with delay. IEEE Trans. on CAS,1993, CAS-40(3): 157-165.[6]卢宏涛,何振亚.带时延的细胞神经网络的无条件稳定性.电子学报,1997,25(1):1-4.[7]Cao Jinde, Zhou Dongming. Stability analysis of delayed cellular neural networks[J].Neural Networks.1998, 11(9):1601-1605[8]Cao Jinde. Global stability analysis in delayed cellular neural networks[J].Phys. Rev. E.1999,59(5):5940-5944[9]Cao Jinde. Global stability in delayed cellular neural networks. Neural Networks for Signal Processing IX-Proceedings of the 1999 IEEE Workshop, IEEE, Wisconsin: 1999.[10]Cao Jinde. Periodic solutions and exponential stability in delayed cellular neural networks[J].Phys.Rev. E.1999, 60(3):3244-3248[11]Hale J K. Theory of Functional Differentional Equations. New York: Springer, 1997. [12]Gopalsamy K. Stability and Oscillation in Delay Differential Equations of Population Dynamics.Kluwer Academic, Dordrecht, Netherlands: 1992, 45.
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