具时延的细胞神经网络的全局渐近稳定性分析
GLOBAL ASYMPOTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS
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摘要: 本文通过Lyapunov泛函方法和新的不等式a2b(2a3+b3)/3,(a,b0)分析技巧,讨论了一类具时延的细胞神经网络DCNN全局渐近稳定性问题,得到了若干新的充分判据,这些判据可用于设计出各种全局稳定的网络。Abstract: 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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