메뉴 건너뛰기




Volumn 17, Issue 7, 2004, Pages 1017-1025

Boundedness and stability for nonautonomous cellular neural networks with delay

Author keywords

Boundedness; Cellular neural networks; Delay; Global exponential stability; Liapunov functional; Periodic solution

Indexed keywords

CELLS; DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; STABILITY; THEOREM PROVING;

EID: 4143144221     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2004.03.009     Document Type: Article
Times cited : (26)

References (39)
  • 1
    • 0242608076 scopus 로고    scopus 로고
    • Global asymptotic stability of a large class of neural networks with constant time delay
    • Arik S. Global asymptotic stability of a large class of neural networks with constant time delay. Physics Letters A. 311:2003;504-511
    • (2003) Physics Letters a , vol.311 , pp. 504-511
    • Arik, S.1
  • 3
    • 0033200563 scopus 로고    scopus 로고
    • Periodic solution and exponential stability in delayed cellular neural networks
    • Cao J. Periodic solution and exponential stability in delayed cellular neural networks. Physical Review E. 60:(3):1999;3244-3248
    • (1999) Physical Review e , vol.60 , Issue.3 , pp. 3244-3248
    • Cao, J.1
  • 4
    • 0345984486 scopus 로고    scopus 로고
    • On stability of delayed cellular networks
    • Cao J. On stability of delayed cellular networks. Physics Letters A. 261:(5-6):1999;303-308
    • (1999) Physics Letters a , vol.261 , Issue.56 , pp. 303-308
    • Cao, J.1
  • 5
    • 0034719627 scopus 로고    scopus 로고
    • On exponential stability and periodic solutions of CNNs with delay
    • Cao J. On exponential stability and periodic solutions of CNNs with delay. Physics Letters A. 267:(5-6):2000;312-318
    • (2000) Physics Letters a , vol.267 , Issue.56 , pp. 312-318
    • Cao, J.1
  • 6
    • 0034729056 scopus 로고    scopus 로고
    • Periodic oscillation and exponential stability of delayed CNNs
    • Cao J. Periodic oscillation and exponential stability of delayed CNNs. Physics Letters A. 270:(3-4):2000;157-163
    • (2000) Physics Letters a , vol.270 , Issue.34 , pp. 157-163
    • Cao, J.1
  • 7
    • 0034140541 scopus 로고    scopus 로고
    • Global exponential stability and periodic solutions of delayed cellular neural networks
    • Cao J. Global exponential stability and periodic solutions of delayed cellular neural networks. Journal of Computers and System Science. 60:2000;38-46
    • (2000) Journal of Computers and System Science , vol.60 , pp. 38-46
    • Cao, J.1
  • 8
    • 0035303488 scopus 로고    scopus 로고
    • A set of stability criteria for delayed cellular neural networks
    • Cao J. A set of stability criteria for delayed cellular neural networks. IEEE Transactions on Circuits and Systems I. 48:(4):2001;494-498
    • (2001) IEEE Transactions on Circuits and Systems I , vol.48 , Issue.4 , pp. 494-498
    • Cao, J.1
  • 9
    • 0035262752 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield neural networks
    • Cao J. Global exponential stability of Hopfield neural networks. International Journal of System Sciences. 322:(2):2001;233-236
    • (2001) International Journal of System Sciences , vol.322 , Issue.2 , pp. 233-236
    • Cao, J.1
  • 10
    • 0037467691 scopus 로고    scopus 로고
    • New results concerning exponential stability and periodic solutions of delayed cellular neural networks
    • Cao J. New results concerning exponential stability and periodic solutions of delayed cellular neural networks. Physics Letters A. 307:2003;136-147
    • (2003) Physics Letters a , vol.307 , pp. 136-147
    • Cao, J.1
  • 11
    • 0034369985 scopus 로고    scopus 로고
    • On the exponential stability and periodic solutions of delayed cellular neural networks
    • Cao J., Li Q. On the exponential stability and periodic solutions of delayed cellular neural networks. Journal of Mathematics Analysis and Applications. 252:2000;50-64
    • (2000) Journal of Mathematics Analysis and Applications , vol.252 , pp. 50-64
    • Cao, J.1    Li, Q.2
  • 12
    • 0036506075 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory solution in BAM networks with delays
    • Cao J., Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Transactions on Neural Networks. 13:(2):2002;457-463
    • (2002) IEEE Transactions on Neural Networks , vol.13 , Issue.2 , pp. 457-463
    • Cao, J.1    Wang, L.2
  • 13
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with varying-time delays
    • Cao J., Wang J. Global asymptotic stability of a general class of recurrent neural networks with varying-time delays. IEEE Transactions on Circuits and Systems I. 50:(1):2003;34-44
    • (2003) IEEE Transactions on Circuits and Systems I , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 14
    • 0037427557 scopus 로고    scopus 로고
    • Existence and attractive of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients
    • Chen A., Cao J. Existence and attractive of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients. Applied Mathematics and Computers. 134:2003;125-140
    • (2003) Applied Mathematics and Computers , vol.134 , pp. 125-140
    • Chen, A.1    Cao, J.2
  • 15
    • 0037431453 scopus 로고    scopus 로고
    • Existence and stability of almost periodic solution for BAM neural networks with delays
    • Chen A., Huang L., Cao J. Existence and stability of almost periodic solution for BAM neural networks with delays. Applied Mathematics and Computers. 137:2003;177-193
    • (2003) Applied Mathematics and Computers , vol.137 , pp. 177-193
    • Chen, A.1    Huang, L.2    Cao, J.3
  • 18
    • 0037158385 scopus 로고    scopus 로고
    • Global exponential stability and existence of periodic solutions of CNNs with delays
    • Dong M. Global exponential stability and existence of periodic solutions of CNNs with delays. Physics Letters A. 300:2002;49-57
    • (2002) Physics Letters a , vol.300 , pp. 49-57
    • Dong, M.1
  • 19
    • 0036568042 scopus 로고    scopus 로고
    • Existence and stability of periodic solutions for Hopfield neural network equations with periodic input
    • Dong Q., Matsui K., Huang X. Existence and stability of periodic solutions for Hopfield neural network equations with periodic input. Nonlinear Analysis. 49:2002;471-479
    • (2002) Nonlinear Analysis , vol.49 , pp. 471-479
    • Dong, Q.1    Matsui, K.2    Huang, X.3
  • 20
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield nets with transmission delay
    • Gopalsamy K., He H. Stability in asymmetric Hopfield nets with transmission delay. Physics D. 76:1994;344-358
    • (1994) Physics D , vol.76 , pp. 344-358
    • Gopalsamy, K.1    He, H.2
  • 21
    • 0014140665 scopus 로고
    • Nonlinear difference-differential equation in prediction and learning theory
    • Grossberg S. Nonlinear difference-differential equation in prediction and learning theory. Proceedings of the National Academy of Sciences. 58:1967;1329-1334
    • (1967) Proceedings of the National Academy of Sciences , vol.58 , pp. 1329-1334
    • Grossberg, S.1
  • 22
    • 84968513701 scopus 로고
    • Global ratio limit theorems for some nonlinear functional-differential equations, I
    • Grossberg S. Global ratio limit theorems for some nonlinear functional-differential equations, I. Bulletin of the American Mathematical Society. 74:1968;95-99
    • (1968) Bulletin of the American Mathematical Society , vol.74 , pp. 95-99
    • Grossberg, S.1
  • 23
    • 84968494226 scopus 로고
    • Global ratio limit theorems for some nonlinear functional-differential equations, II
    • Grossberg S. Global ratio limit theorems for some nonlinear functional-differential equations, II. Bulletin of the American Mathematical Society. 74:1968;100-105
    • (1968) Bulletin of the American Mathematical Society , vol.74 , pp. 100-105
    • Grossberg, S.1
  • 24
    • 0001147286 scopus 로고
    • Some nonlinear networks capable of learning aspatial pattern of arbitrary complexity
    • Grossberg S. Some nonlinear networks capable of learning aspatial pattern of arbitrary complexity. Proceedings of the National Academy of Sciences. 59:1968;368-372
    • (1968) Proceedings of the National Academy of Sciences , vol.59 , pp. 368-372
    • Grossberg, S.1
  • 26
    • 18544395653 scopus 로고    scopus 로고
    • Global existence of periodic solutions of BAM neural networks with variable coefficients
    • Guo S., Huang L., Dai B., Zhang Z. Global existence of periodic solutions of BAM neural networks with variable coefficients. Physics Letters A. 317:2003;97-106
    • (2003) Physics Letters a , vol.317 , pp. 97-106
    • Guo, S.1    Huang, L.2    Dai, B.3    Zhang, Z.4
  • 27
    • 0037124336 scopus 로고    scopus 로고
    • Global exponential stability and periodic solutions of recurrent neural networks with delays
    • Huang H., Cao J., Wang J. Global exponential stability and periodic solutions of recurrent neural networks with delays. Physics Letters A. 298:(5-6):2002;393-404
    • (2002) Physics Letters a , vol.298 , Issue.56 , pp. 393-404
    • Huang, H.1    Cao, J.2    Wang, J.3
  • 28
    • 0037434107 scopus 로고    scopus 로고
    • Boundedness andstability for nonautonomous cellular neural networks with delay
    • Jiang H., Li Z., Teng Z. Boundedness andstability for nonautonomous cellular neural networks with delay. Physics Letters A. 306:2003;313-325
    • (2003) Physics Letters a , vol.306 , pp. 313-325
    • Jiang, H.1    Li, Z.2    Teng, Z.3
  • 29
    • 4143137701 scopus 로고    scopus 로고
    • Global exponential stability of cellular neuralnetworks with varying-time coefficients and delays
    • to appear
    • Jiang H., Teng Z. Global exponential stability of cellular neuralnetworks with varying-time coefficients and delays. Neural Networks. 2004;. to appear
    • (2004) Neural Networks
    • Jiang, H.1    Teng, Z.2
  • 30
    • 0004185638 scopus 로고
    • Changsha, China: Hunan Science and Technique Press. in China
    • Li S., Wen L. Functional differential equations. 1987;Hunan Science and Technique Press, Changsha, China. in China
    • (1987) Functional Differential Equations
    • Li, S.1    Wen, L.2
  • 31
    • 0037302652 scopus 로고    scopus 로고
    • Algebraic criteria for global exponential stability of cellular neural networks with multiple time delays
    • Liao X., Wang J. Algebraic criteria for global exponential stability of cellular neural networks with multiple time delays. IEEE Transactions on Circuits and Systems I. 50:(2):2003;268-275
    • (2003) IEEE Transactions on Circuits and Systems I , vol.50 , Issue.2 , pp. 268-275
    • Liao, X.1    Wang, J.2
  • 32
    • 0034548914 scopus 로고    scopus 로고
    • On stability of nonlinear continuous-time neural networks with delays
    • Lu H. On stability of nonlinear continuous-time neural networks with delays. Neural Networks. 13:2000;1135-1143
    • (2000) Neural Networks , vol.13 , pp. 1135-1143
    • Lu, H.1
  • 33
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delay
    • Marcus C.M., Westervelt R.M. Stability of analog neural networks with delay. Physical Review A. 39:1989;347-359
    • (1989) Physical Review a , vol.39 , pp. 347-359
    • Marcus, C.M.1    Westervelt, R.M.2
  • 36
    • 0034649920 scopus 로고    scopus 로고
    • Some new results of nonautonomous Lotka-Volterra competitive systems with delays
    • Teng Z., Yu. Some new results of nonautonomous Lotka-Volterra competitive systems with delays. Journal of Mathematical Analysis and Applications. 241:2000;254-275
    • (2000) Journal of Mathematical Analysis and Applications , vol.241 , pp. 254-275
    • Teng, Z.1    Yu, .2
  • 37
    • 0037303380 scopus 로고    scopus 로고
    • Global exponential stability of neural networks with variable delays
    • Zhang J. Global exponential stability of neural networks with variable delays. IEEE Transactions on Circuits and Systems I. 50:(2):2003;288-291
    • (2003) IEEE Transactions on Circuits and Systems I , vol.50 , Issue.2 , pp. 288-291
    • Zhang, J.1
  • 39
    • 0347511635 scopus 로고    scopus 로고
    • Dynamics of periodic delayed neural networks
    • Zhou J., Liu Z., Chen G. Dynamics of periodic delayed neural networks. Neural Networks. 17:2004;87-101
    • (2004) Neural Networks , vol.17 , pp. 87-101
    • Zhou, J.1    Liu, Z.2    Chen, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.