메뉴 건너뛰기




Volumn 30, Issue 1, 2006, Pages 83-93

Boundedness and global stability for nonautonomous recurrent neural networks with distributed delays

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FUNCTIONS; LYAPUNOV METHODS;

EID: 33646160998     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.132     Document Type: Article
Times cited : (15)

References (34)
  • 1
    • 0036737354 scopus 로고    scopus 로고
    • An analysis of global asymptotic stability of delayed cellular neural networks
    • Arik S. An analysis of global asymptotic stability of delayed cellular neural networks. IEEE Trans Neural Networks 13 (2002) 1239-1242
    • (2002) IEEE Trans Neural Networks , vol.13 , pp. 1239-1242
    • Arik, S.1
  • 2
    • 0242608076 scopus 로고    scopus 로고
    • Global asymptotic stability of a larger class of neural networks with constant time delay
    • Arik S. Global asymptotic stability of a larger class of neural networks with constant time delay. Phys Lett A 311 (2003) 504-511
    • (2003) Phys Lett A , vol.311 , pp. 504-511
    • Arik, S.1
  • 3
    • 0001026375 scopus 로고
    • Stability in a model of delayed neural network
    • Belair J. Stability in a model of delayed neural network. J Dynam Diff Equat 5 (1993) 607-623
    • (1993) J Dynam Diff Equat , vol.5 , pp. 607-623
    • Belair, J.1
  • 4
    • 0032589602 scopus 로고    scopus 로고
    • Global stability analysis with delayed cellular neural network
    • Cao J. Global stability analysis with delayed cellular neural network. Phys Rev E 59 (1999) 5940-5944
    • (1999) Phys Rev E , vol.59 , pp. 5940-5944
    • 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. Phys Lett A 267 (2000) 312-318
    • (2000) Phys Lett A , vol.267 , pp. 312-318
    • Cao, J.1
  • 6
    • 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 Trans Circ Syst-I 48 (2001) 494-498
    • (2001) IEEE Trans Circ Syst-I , vol.48 , pp. 494-498
    • Cao, J.1
  • 7
    • 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. Phys Lett A 307 (2003) 136-147
    • (2003) Phys Lett A , vol.307 , pp. 136-147
    • Cao, J.1
  • 8
    • 2442484035 scopus 로고    scopus 로고
    • Globally exponentially robust stability and periodicity of delayed neural networks
    • Cao J., and Chen T. Globally exponentially robust stability and periodicity of delayed neural networks. Chaos, Solitons & Fractals 22 (2004) 957-963
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 957-963
    • Cao, J.1    Chen, T.2
  • 9
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Cao J., and Wang J. Global asymptotic stability of a general class of recurrent neural networks with time-varying delays. IEEE Trans Circ Syst-I 50 (2003) 34-44
    • (2003) IEEE Trans Circ Syst-I , vol.50 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 10
    • 0032418487 scopus 로고    scopus 로고
    • Stability analysis of delayed cellular neural networks
    • Cao J., and Zhou D. Stability analysis of delayed cellular neural networks. Neural Networks 11 (1998) 1601-1605
    • (1998) Neural Networks , vol.11 , pp. 1601-1605
    • Cao, J.1    Zhou, D.2
  • 11
    • 4644236344 scopus 로고    scopus 로고
    • Global robust stability of interval cellular neural networks with time-varying delays
    • Chen A., Cao J., and Huang L. Global robust stability of interval cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 (2005) 787-799
    • (2005) Chaos, Solitons & Fractals , vol.23 , pp. 787-799
    • Chen, A.1    Cao, J.2    Huang, L.3
  • 12
    • 0037124336 scopus 로고    scopus 로고
    • Global exponential stability and periodic solutions of recurrent neural networks with delays
    • Huang H., Cao J., and Wang J. Global exponential stability and periodic solutions of recurrent neural networks with delays. Phys Lett A 298 (2002) 393-404
    • (2002) Phys Lett A , vol.298 , pp. 393-404
    • Huang, H.1    Cao, J.2    Wang, J.3
  • 13
    • 2442601691 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays
    • Liang J., and Cao J. Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Chaos, Solitons & Fractals 22 (2004) 773-785
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 773-785
    • Liang, J.1    Cao, J.2
  • 14
    • 0347738421 scopus 로고    scopus 로고
    • Stability of Hopfield-type neural networks II
    • Liao X., and Liao Y. Stability of Hopfield-type neural networks II. Sci China, Ser A 40 (1997) 813-816
    • (1997) Sci China, Ser A , vol.40 , pp. 813-816
    • Liao, X.1    Liao, Y.2
  • 15
    • 0037174277 scopus 로고    scopus 로고
    • Globally exponential stability conditions for cellular neural networks with time-varying delays
    • Zhou D., and Cao J. Globally exponential stability conditions for cellular neural networks with time-varying delays. Appl Math Comput 131 (2002) 483-492
    • (2002) Appl Math Comput , vol.131 , pp. 483-492
    • Zhou, D.1    Cao, J.2
  • 16
    • 0036754107 scopus 로고    scopus 로고
    • Global stability of neural networks with distributed delays
    • Chen Y. Global stability of neural networks with distributed delays. Neural Networks 15 (2002) 867-871
    • (2002) Neural Networks , vol.15 , pp. 867-871
    • Chen, Y.1
  • 17
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield nets with transmission delay
    • Gopalsamy K., and He X. Stability in asymmetric Hopfield nets with transmission delay. Physica D 76 (1994) 344-358
    • (1994) Physica D , vol.76 , pp. 344-358
    • Gopalsamy, K.1    He, X.2
  • 18
    • 0036608391 scopus 로고    scopus 로고
    • Stability analyses of cellular neural networks with continuous time delay
    • Liao X., Wu Z., and Yu J. Stability analyses of cellular neural networks with continuous time delay. J Comput Appl Math 143 (2002) 29-47
    • (2002) J Comput Appl Math , vol.143 , pp. 29-47
    • Liao, X.1    Wu, Z.2    Yu, J.3
  • 19
    • 0013046313 scopus 로고    scopus 로고
    • Dynamics of a class of discrete-time neural networks and their continuous-time counterparts
    • Mohamad S., and Gopalsamy K. Dynamics of a class of discrete-time neural networks and their continuous-time counterparts. Math Comput Simul 53 (2000) 1-39
    • (2000) Math Comput Simul , vol.53 , pp. 1-39
    • Mohamad, S.1    Gopalsamy, K.2
  • 20
    • 13544262698 scopus 로고    scopus 로고
    • Global exponential periodicity of a class of neural networks with recent-history distributed delays
    • Yang X., Liao X., Megson Graham M., and Evans David J. Global exponential periodicity of a class of neural networks with recent-history distributed delays. Chaos, Solitons & Fractals 25 (2005) 441-447
    • (2005) Chaos, Solitons & Fractals , vol.25 , pp. 441-447
    • Yang, X.1    Liao, X.2    Megson Graham, M.3    Evans David, J.4
  • 21
    • 0034266878 scopus 로고    scopus 로고
    • Global stability analysis in delay Hopfield neural network models
    • Zhang J., and Jin X. Global stability analysis in delay Hopfield neural network models. Neural Networks 13 (2000) 745-753
    • (2000) Neural Networks , vol.13 , pp. 745-753
    • Zhang, J.1    Jin, X.2
  • 22
    • 0035365656 scopus 로고    scopus 로고
    • Convergence analysis of cellular neural networks with unbounded delay
    • Zhang Y., Ann P., and Leung K. Convergence analysis of cellular neural networks with unbounded delay. IEEE Trans Circ Syst-I 48 (2001) 680-687
    • (2001) IEEE Trans Circ Syst-I , vol.48 , pp. 680-687
    • Zhang, Y.1    Ann, P.2    Leung, K.3
  • 23
    • 0042262759 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield neural networks with continuously distributed delays
    • Zhang Q., Wei X., and Xu J. Global exponential stability of Hopfield neural networks with continuously distributed delays. Phys Lett A 315 (2003) 431-436
    • (2003) Phys Lett A , vol.315 , pp. 431-436
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 24
    • 0037071084 scopus 로고    scopus 로고
    • Global stability of bidirectional associative memory neural networks with distributed delays
    • Zhao H. Global stability of bidirectional associative memory neural networks with distributed delays. Phys Lett A 297 (2002) 182-190
    • (2002) Phys Lett A , vol.297 , pp. 182-190
    • Zhao, H.1
  • 25
    • 0347511634 scopus 로고    scopus 로고
    • Global asymptotic stability of Hopfield neural networks involving distributed delays
    • Zhao H. Global asymptotic stability of Hopfield neural networks involving distributed delays. Neural Networks 17 (2004) 47-53
    • (2004) Neural Networks , vol.17 , pp. 47-53
    • Zhao, H.1
  • 26
    • 13544260873 scopus 로고    scopus 로고
    • Global dissipativity of neural networks with both variable and unbounded delays
    • Song Q., and Zhao Z. Global dissipativity of neural networks with both variable and unbounded delays. Chaos, Solitons & Fractals 25 (2005) 393-401
    • (2005) Chaos, Solitons & Fractals , vol.25 , pp. 393-401
    • Song, Q.1    Zhao, Z.2
  • 27
    • 0036568042 scopus 로고    scopus 로고
    • Existence and stability of periodic solutions for Hopfield neural network equations with periodic input
    • Dong Q., Matsui K., and Huang X. Existence and stability of periodic solutions for Hopfield neural network equations with periodic input. Nonlin Anal 49 (2002) 471-479
    • (2002) Nonlin Anal , vol.49 , pp. 471-479
    • Dong, Q.1    Matsui, K.2    Huang, X.3
  • 28
    • 18544395653 scopus 로고    scopus 로고
    • Global existence of periodic solutions of BAM neural networks with variable coefficients
    • Guo S., Huang L., Dai B., and Zhang Z. Global existence of periodic solutions of BAM neural networks with variable coefficients. Phys Lett A 317 (2003) 97-106
    • (2003) Phys Lett A , vol.317 , pp. 97-106
    • Guo, S.1    Huang, L.2    Dai, B.3    Zhang, Z.4
  • 29
    • 0037434107 scopus 로고    scopus 로고
    • Boundedness and stability for nonautonomous cellular neural networks with delay
    • Jiang H., Li Z., and Teng Z. Boundedness and stability for nonautonomous cellular neural networks with delay. Phys Lett A 306 (2003) 313-325
    • (2003) Phys Lett A , vol.306 , pp. 313-325
    • Jiang, H.1    Li, Z.2    Teng, Z.3
  • 30
    • 4143137701 scopus 로고    scopus 로고
    • Global exponential stability of cellular neural networks with time-varying coefficients and delays
    • Jiang H., and Teng Z. Global exponential stability of cellular neural networks with time-varying coefficients and delays. Neural Networks 17 (2004) 1415-1425
    • (2004) Neural Networks , vol.17 , pp. 1415-1425
    • Jiang, H.1    Teng, Z.2
  • 31
    • 0347511635 scopus 로고    scopus 로고
    • Dynamics of periodic delayed neural networks
    • Zhou J., Liu Z., and 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
  • 34
    • 0003248782 scopus 로고
    • Stability theory and existence of periodic solutions and almost periodic solutions
    • Yoshizawa T. Stability theory and existence of periodic solutions and almost periodic solutions. Appl Math Sci 14 (1976)
    • (1976) Appl Math Sci , vol.14
    • Yoshizawa, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.