메뉴 건너뛰기




Volumn 71, Issue 12, 2009, Pages 6097-6108

Almost periodic solutions of recurrent neural networks with continuously distributed delays

Author keywords

Almost periodic solution; Distributed delay; Lyapunov functional; Recurrent neural networks

Indexed keywords

ALMOST PERIODIC; ALMOST PERIODIC SOLUTIONS; ANALYSIS TECHNIQUES; ATTRACTIVITY; CONTINUOUSLY DISTRIBUTED DELAYS; DISTRIBUTED DELAYS; EXPONENTIAL STABILITY; LYAPUNOV FUNCTIONAL; LYAPUNOV FUNCTIONALS; MODEL-BASED; NUMERICAL EXAMPLE; OSCILLATORY NEURAL NETWORKS; SUFFICIENT CONDITIONS;

EID: 72149103548     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.05.079     Document Type: Article
Times cited : (44)

References (34)
  • 3
    • 0027568891 scopus 로고
    • Shunting inhibitory cellular neural networks: Derivation and stability analysis
    • Bouzerdoum A., and Pinter R.B. Shunting inhibitory cellular neural networks: Derivation and stability analysis. IEEE Transactions on Circuits and Systems. I 40 (1993) 215-221
    • (1993) IEEE Transactions on Circuits and Systems. I , vol.40 , pp. 215-221
    • Bouzerdoum, A.1    Pinter, R.B.2
  • 5
    • 0027582973 scopus 로고
    • Stability of cellular neural networks with dominant and delay-type template
    • Roska T., Wu C.W., and Chua L.O. Stability of cellular neural networks with dominant and delay-type template. IEEE Transactions on Circuits and Systems. I 40 (1993) 270-272
    • (1993) IEEE Transactions on Circuits and Systems. I , vol.40 , pp. 270-272
    • Roska, T.1    Wu, C.W.2    Chua, L.O.3
  • 6
    • 0028484639 scopus 로고
    • Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions
    • Gilli M. Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions. IEEE Transactions on Circuits and Systems. I 41 (1994) 518-528
    • (1994) IEEE Transactions on Circuits and Systems. I , vol.41 , pp. 518-528
    • Gilli, M.1
  • 7
    • 0345984486 scopus 로고    scopus 로고
    • On stability of delayed cellular neural networks
    • Cao J. On stability of delayed cellular neural networks. Physics Letters A 261 (1999) 303-308
    • (1999) Physics Letters A , vol.261 , pp. 303-308
    • Cao, J.1
  • 8
    • 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 Computer and Systems Sciences 60 (2000) 38-46
    • (2000) Journal of Computer and Systems Sciences , vol.60 , pp. 38-46
    • Cao, J.1
  • 9
    • 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. Physics Letters A 297 (2002) 182-190
    • (2002) Physics Letters A , vol.297 , pp. 182-190
    • Zhao, H.1
  • 10
    • 0036691904 scopus 로고    scopus 로고
    • An improved global stability result for delayed cellular neural networks
    • Arik S. An improved global stability result for delayed cellular neural networks. IEEE Transactions on Circuits and Systems I 49 (2002) 1211-1214
    • (2002) IEEE Transactions on Circuits and Systems I , vol.49 , pp. 1211-1214
    • Arik, S.1
  • 11
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time cellular neural networks with delays
    • Mohamad S., and Gopalsamy K. Exponential stability of continuous-time and discrete-time cellular neural networks with delays. Applied Mathematics and Computation 135 (2003) 17-38
    • (2003) Applied Mathematics and Computation , vol.135 , pp. 17-38
    • Mohamad, S.1    Gopalsamy, K.2
  • 12
    • 0035262752 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield neural networks
    • Cao J. Global exponential stability of Hopfield neural networks. International Journal of Systems Science 32 2 (2001) 233-236
    • (2001) International Journal of Systems Science , vol.32 , Issue.2 , pp. 233-236
    • Cao, J.1
  • 14
    • 3142562515 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays
    • Liu Z., Chen A., Cao J., and Huang L. Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays. Physics Letters A 328 (2004) 127-143
    • (2004) Physics Letters A , vol.328 , pp. 127-143
    • Liu, Z.1    Chen, A.2    Cao, J.3    Huang, L.4
  • 15
    • 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. Physics Letters A 298 5-6 (2002) 393-404
    • (2002) Physics Letters A , vol.298 , Issue.5-6 , pp. 393-404
    • Huang, H.1    Cao, J.2    Wang, J.3
  • 16
    • 2442484035 scopus 로고    scopus 로고
    • Global exponentially robust stability and periodicity of delayed neural networks
    • Cao J., and Chen T. Global exponentially robust stability and periodicity of delayed neural networks. Chaos, Solitons and Fractals 22 (2004) 957-963
    • (2004) Chaos, Solitons and Fractals , vol.22 , pp. 957-963
    • Cao, J.1    Chen, T.2
  • 17
    • 15944375785 scopus 로고    scopus 로고
    • Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays
    • Huang H., Ho D.W.C., and Cao J. Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays. Neural Networks 18 (2005) 161-170
    • (2005) Neural Networks , vol.18 , pp. 161-170
    • Huang, H.1    Ho, D.W.C.2    Cao, J.3
  • 18
    • 13644277116 scopus 로고    scopus 로고
    • Periodic oscillatory for a class of neural networks with variable coefficients
    • Guo S., and Huang L. Periodic oscillatory for a class of neural networks with variable coefficients. Nonlinear Analysis: Real World Applications 6 (2005) 545-561
    • (2005) Nonlinear Analysis: Real World Applications , vol.6 , pp. 545-561
    • Guo, S.1    Huang, L.2
  • 19
    • 22344432002 scopus 로고    scopus 로고
    • Periodic oscillatory solutions in delayed competitive-cooperative neural networks: A decomposition approach
    • Yuan K., and Cao J. Periodic oscillatory solutions in delayed competitive-cooperative neural networks: A decomposition approach. Chaos, Solitons and Fractals 27 (2006) 223-231
    • (2006) Chaos, Solitons and Fractals , vol.27 , pp. 223-231
    • Yuan, K.1    Cao, J.2
  • 20
    • 31744447713 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with distributed delay
    • Huang T. Exponential stability of fuzzy cellular neural networks with distributed delay. Physics Letters A 351 (2006) 48-52
    • (2006) Physics Letters A , vol.351 , pp. 48-52
    • Huang, T.1
  • 21
    • 0344009696 scopus 로고    scopus 로고
    • Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays
    • Liu Z., Chen A., Cao J., and Huang L. Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays. Physics Letters A 319 4 (2003) 305-316
    • (2003) Physics Letters A , vol.319 , Issue.4 , pp. 305-316
    • Liu, Z.1    Chen, A.2    Cao, J.3    Huang, L.4
  • 22
    • 0037431453 scopus 로고    scopus 로고
    • Existence and stability of almost periodic solution for BAM neural networks with delays
    • Chen A., Huang L., and Cao J. Existence and stability of almost periodic solution for BAM neural networks with delays. Applied Mathematics and Computation 137 (2003) 177-193
    • (2003) Applied Mathematics and Computation , vol.137 , pp. 177-193
    • Chen, A.1    Huang, L.2    Cao, J.3
  • 23
    • 4243153938 scopus 로고    scopus 로고
    • On the structure of the set of bounded solutions on an almost periodic Liénard equation
    • Cieutat P. On the structure of the set of bounded solutions on an almost periodic Liénard equation. Nonlinear Analysis 58 (2004) 885-898
    • (2004) Nonlinear Analysis , vol.58 , pp. 885-898
    • Cieutat, P.1
  • 24
    • 19444364927 scopus 로고    scopus 로고
    • Almost periodic attractor of delayed neural networks with variable coefficients
    • Cao J., Chen A., and Huang X. Almost periodic attractor of delayed neural networks with variable coefficients. Physics Letters A 340 (2005) 104-120
    • (2005) Physics Letters A , vol.340 , pp. 104-120
    • Cao, J.1    Chen, A.2    Huang, X.3
  • 25
    • 34249750394 scopus 로고    scopus 로고
    • Almost-periodic solutions for an ecological model with infinite delays
    • Xia Y., and Cao J. Almost-periodic solutions for an ecological model with infinite delays. Proceedings of the Edinburgh Mathematical Society 50 1 (2007) 229-249
    • (2007) Proceedings of the Edinburgh Mathematical Society , vol.50 , Issue.1 , pp. 229-249
    • Xia, Y.1    Cao, J.2
  • 26
    • 33746253384 scopus 로고    scopus 로고
    • Existence and attractivity of almost periodic solution for recurrent neural networks with unbounded delays and variable coefficients
    • Huang X., Cao J., and Ho D.W.C. Existence and attractivity of almost periodic solution for recurrent neural networks with unbounded delays and variable coefficients. Nonlinear Dynamics 45 (2006) 337-351
    • (2006) Nonlinear Dynamics , vol.45 , pp. 337-351
    • Huang, X.1    Cao, J.2    Ho, D.W.C.3
  • 27
    • 0005901135 scopus 로고
    • Almost periodic solutions of functional differential equations with infinite delays
    • Kato S. Almost periodic solutions of functional differential equations with infinite delays. Funfcialaj Ekvcioj 38 3 (1995) 505-517
    • (1995) Funfcialaj Ekvcioj , vol.38 , Issue.3 , pp. 505-517
    • Kato, S.1
  • 28
    • 72149084717 scopus 로고    scopus 로고
    • Bounded and almost periodicity for some state-dependent delay differential equation
    • Ait Dads E.H., and Ezzinbi K. Bounded and almost periodicity for some state-dependent delay differential equation. Electronic Journal of Differential Equations 67 (2002) 1-13
    • (2002) Electronic Journal of Differential Equations , vol.67 , pp. 1-13
    • Ait Dads, E.H.1    Ezzinbi, K.2
  • 29
    • 0037427557 scopus 로고    scopus 로고
    • Existence and attractivity for almost periodic solutions for cellular neural networks with distributed delays and variable coefficients
    • Chen A., and Cao J. Existence and attractivity for almost periodic solutions for cellular neural networks with distributed delays and variable coefficients. Applied Mathematics and Computation 134 (2003) 125-140
    • (2003) Applied Mathematics and Computation , vol.134 , pp. 125-140
    • Chen, A.1    Cao, J.2
  • 34
    • 0004294298 scopus 로고
    • Princeton Univ. Press, Princeton, NJ
    • Meshane E.J. Integration (1994), Princeton Univ. Press, Princeton, NJ
    • (1994) Integration
    • Meshane, E.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.