메뉴 건너뛰기




Volumn 17, Issue 8, 2007, Pages 2723-2738

Robust synchronization criteria for recurrent neural networks via linear feedback

Author keywords

Linear matrix inequality; Lyapunov Krasovskii function; Recurrent neural networks; Robust synchronization

Indexed keywords

ERROR ANALYSIS; FEEDBACK; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; PARAMETER ESTIMATION; SYNCHRONIZATION; TIME DELAY;

EID: 34748850646     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407018713     Document Type: Article
Times cited : (13)

References (36)
  • 1
    • 0035139439 scopus 로고    scopus 로고
    • Synchronization of Rössler and Chen chaotic dynamical systems using active control
    • Agiza, H. N. & Yassen, M. T. [2001] "Synchronization of Rössler and Chen chaotic dynamical systems using active control," Phys. Lett. A 278, 191-197.
    • (2001) Phys. Lett. A , vol.278 , pp. 191-197
    • Agiza, H.N.1    Yassen, M.T.2
  • 2
    • 0036691904 scopus 로고    scopus 로고
    • An improved global stability result for delayed cellular neural networks
    • Arik, S. [2002] "An improved global stability result for delayed cellular neural networks," IEEE Trans. Circuits Syst. I 49, 1211-1214.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , pp. 1211-1214
    • Arik, S.1
  • 3
    • 0033888084 scopus 로고    scopus 로고
    • Sequential synchronization of two Lorenz systems using active control
    • Bai, E. W. & Lonngren, K. E. [2000] "Sequential synchronization of two Lorenz systems using active control," Chaos Solit. Fract. 11, 1041-1044.
    • (2000) Chaos Solit. Fract , vol.11 , pp. 1041-1044
    • Bai, E.W.1    Lonngren, K.E.2
  • 5
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Cao, J. & Wang, J. [2003] "Global asymptotic stability of a general class of recurrent neural networks with time-varying delays," IEEE Trans. Circuits Syst. I 50, 34-44.
    • (2003) IEEE Trans. Circuits Syst. I , vol.50 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 6
    • 1642287604 scopus 로고    scopus 로고
    • Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays
    • Cao, J. & Wang, J. [2004] "Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays," Neural Networks 17, 379-390.
    • (2004) Neural Networks , vol.17 , pp. 379-390
    • Cao, J.1    Wang, J.2
  • 7
    • 6344237393 scopus 로고    scopus 로고
    • Synchronization criteria of Lur'e systems with time-delay feedback control
    • Cao, J., Li, H. & Ho, D. W. C. [2005] "Synchronization criteria of Lur'e systems with time-delay feedback control," Chaos Solit. Fract. 23, 1285-1298.
    • (2005) Chaos Solit. Fract , vol.23 , pp. 1285-1298
    • Cao, J.1    Li, H.2    Ho, D.W.C.3
  • 8
    • 33645675305 scopus 로고    scopus 로고
    • Adaptive synchronization of neural networks with or without time-varying delays
    • Cao, J. & Lu, J. [2006] "Adaptive synchronization of neural networks with or without time-varying delays," Chaos 16, 013133.
    • (2006) Chaos , vol.16 , pp. 013133
    • Cao, J.1    Lu, J.2
  • 9
    • 33745352035 scopus 로고    scopus 로고
    • Stability in Cohen-Grossberg type BAM neural networks with time-varying delays
    • Cao, J. & Song, Q. [2006] "Stability in Cohen-Grossberg type BAM neural networks with time-varying delays," Nonlinearity 19, 1601-1617.
    • (2006) Nonlinearity , vol.19 , pp. 1601-1617
    • Cao, J.1    Song, Q.2
  • 10
    • 9644256479 scopus 로고    scopus 로고
    • Global synchronization of coupled delayed neural networks with application to chaotic CNN models
    • Chen, G., Zhou, J. & Liu, Z. [2004] "Global synchronization of coupled delayed neural networks with application to chaotic CNN models," Int. J. Bifurcation and Chaos 14, 2229-2240.
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 2229-2240
    • Chen, G.1    Zhou, J.2    Liu, Z.3
  • 11
    • 0035292684 scopus 로고    scopus 로고
    • Exponential convergence of delayed dynamical systems
    • Chen, T. P. & Amari, S. [2001] "Exponential convergence of delayed dynamical systems," Neural Comput. 13, 621-635.
    • (2001) Neural Comput , vol.13 , pp. 621-635
    • Chen, T.P.1    Amari, S.2
  • 12
    • 15744378840 scopus 로고    scopus 로고
    • Synchronization of neural networks by decentralized feedback control
    • Cheng, C. J., Liao, T. L., Yan, J. J. & Hwang, C. C. [2005] "Synchronization of neural networks by decentralized feedback control," Phys. Lett. A 338, 28-35.
    • (2005) Phys. Lett. A , vol.338 , pp. 28-35
    • Cheng, C.J.1    Liao, T.L.2    Yan, J.J.3    Hwang, C.C.4
  • 13
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • Cohen, M. A. & Grossberg, S. [1983] "Absolute stability and global pattern formation and parallel memory storage by competitive neural networks," IEEE Trans. Syst. Man Cybern. 13, 815-826.
    • (1983) IEEE Trans. Syst. Man Cybern , vol.13 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 14
    • 0001795716 scopus 로고    scopus 로고
    • Absolute stability theory and the synchronization problem
    • Curran, P. F. & Chua, L. O. [1997] "Absolute stability theory and the synchronization problem," Int. J. Bifurcation and Chaos 7, 1375-1382.
    • (1997) Int. J. Bifurcation and Chaos , vol.7 , pp. 1375-1382
    • Curran, P.F.1    Chua, L.O.2
  • 15
    • 0028465673 scopus 로고
    • Necessary and sufficient condition for absolute stability of neural networks
    • Forti, M., Manetti, S. & Marini, M. [1994] "Necessary and sufficient condition for absolute stability of neural networks," IEEE Trans. Circuits Syst. I 41, 491-494.
    • (1994) IEEE Trans. Circuits Syst. I , vol.41 , pp. 491-494
    • Forti, M.1    Manetti, S.2    Marini, M.3
  • 16
    • 0040211626 scopus 로고    scopus 로고
    • Adaptive backstepping control of a class of chaotic systems
    • Ge, S. S., Wang, C. & Lee, T. H. [2000] "Adaptive backstepping control of a class of chaotic systems," Int. J. Bifurcation and Chaos 10, 1149-1156.
    • (2000) Int. J. Bifurcation and Chaos , vol.10 , pp. 1149-1156
    • Ge, S.S.1    Wang, C.2    Lee, T.H.3
  • 17
    • 0027701875 scopus 로고
    • Strange attractors in delayed cellular networks
    • Gilli, M. [1993] "Strange attractors in delayed cellular networks," IEEE Trans. Circuits Syst. I 40, 849-853.
    • (1993) IEEE Trans. Circuits Syst. I , vol.40 , pp. 849-853
    • Gilli, M.1
  • 19
    • 0004469897 scopus 로고
    • Neural networks with graded response have collective computational properties like those of two-stage neurons
    • Hopfied, J. J. [1984] "Neural networks with graded response have collective computational properties like those of two-stage neurons," Proc. Natl. Acad. Sci. USA 81, 3088-3092.
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfied, J.J.1
  • 20
    • 33750548637 scopus 로고    scopus 로고
    • Synchronization criteria for Lur'e systems by dynamic output feedback with time-delay
    • accepted
    • Huang, X., Cao, J. & Ho, D. W. C. [2006] "Synchronization criteria for Lur'e systems by dynamic output feedback with time-delay," Int. J. Bifurcation and Chaos, accepted.
    • (2006) Int. J. Bifurcation and Chaos
    • Huang, X.1    Cao, J.2    Ho, D.W.C.3
  • 21
    • 0034233270 scopus 로고    scopus 로고
    • Results concerning the absolute stability of delayed neural networks
    • Joy, M. [2000] "Results concerning the absolute stability of delayed neural networks," Neural Networks 13, 613-616.
    • (2000) Neural Networks , vol.13 , pp. 613-616
    • Joy, M.1
  • 22
    • 0037013883 scopus 로고    scopus 로고
    • Chaotic attractors in delayed neural networks
    • Lu, H. T. [2002] "Chaotic attractors in delayed neural networks," Phys. Lett. A 298, 109-116.
    • (2002) Phys. Lett. A , vol.298 , pp. 109-116
    • Lu, H.T.1
  • 23
    • 0037410878 scopus 로고    scopus 로고
    • Controlling uncertain Lu system using linear feedback
    • Lu, J. H. & Lu, J. A. [2003] "Controlling uncertain Lu system using linear feedback," Chaos Solit. Fract. 17, 127-133.
    • (2003) Chaos Solit. Fract , vol.17 , pp. 127-133
    • Lu, J.H.1    Lu, J.A.2
  • 25
    • 13544276567 scopus 로고    scopus 로고
    • Adaptive synchronization of Rössler system with uncertain parameters
    • Park, J. H. [2005] "Adaptive synchronization of Rössler system with uncertain parameters," Chaos Solit. Fract. 25, 333-338.
    • (2005) Chaos Solit. Fract , vol.25 , pp. 333-338
    • Park, J.H.1
  • 26
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
    • (1990) Phys. Rev. Lett , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 27
    • 0026913847 scopus 로고
    • Cellular neural networks with nonlinear and delay-type template
    • Roska, T. & Chua, L. O. [1992] "Cellular neural networks with nonlinear and delay-type template," Int. J. Circuit Th. Appl. 20, 469-481.
    • (1992) Int. J. Circuit Th. Appl , vol.20 , pp. 469-481
    • Roska, T.1    Chua, L.O.2
  • 28
    • 0032655835 scopus 로고    scopus 로고
    • Robust synthesis for master-slave synchronization of Lur'e systems
    • Suykens, J. A. K., Curran, P. F. & Chua, L. O. [1999] "Robust synthesis for master-slave synchronization of Lur'e systems," IEEE Trans. Circuits Syst. I 46, 841-850.
    • (1999) IEEE Trans. Circuits Syst. I , vol.46 , pp. 841-850
    • Suykens, J.A.K.1    Curran, P.F.2    Chua, L.O.3
  • 29
    • 0002535932 scopus 로고
    • Chaotic synchronization and controlling chaos based on contraction mappings
    • Ushio, T. [1995] "Chaotic synchronization and controlling chaos based on contraction mappings," Phys. Lett. A 198, 14-22.
    • (1995) Phys. Lett. A , vol.198 , pp. 14-22
    • Ushio, T.1
  • 31
    • 34748844578 scopus 로고    scopus 로고
    • Wu, C. W. & Chua, L. O. [1994] A unified framework for synchronization and control of dynamical systems, Int. J. Bifurcation and Chaos 4, 979-989.
    • Wu, C. W. & Chua, L. O. [1994] "A unified framework for synchronization and control of dynamical systems," Int. J. Bifurcation and Chaos 4, 979-989.
  • 32
    • 16244383258 scopus 로고    scopus 로고
    • Improved delay-dependent stability criteria for time-delay systems
    • Xu, S. & Lam, J. [2005] "Improved delay-dependent stability criteria for time-delay systems," IEEE Trans. Automat. Contr. 50, 384-387.
    • (2005) IEEE Trans. Automat. Contr , vol.50 , pp. 384-387
    • Xu, S.1    Lam, J.2
  • 33
    • 17744384772 scopus 로고    scopus 로고
    • A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems
    • Yan, Z. [2005] "A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems," Chaos 15, 013101.
    • (2005) Chaos , vol.15 , pp. 013101
    • Yan, Z.1
  • 34
    • 0003082859 scopus 로고    scopus 로고
    • Impulsive control of Lorenz system
    • Yang, T. & Yang, L. B. & Yang, C. M. [1997] "Impulsive control of Lorenz system," Physica D 110, 18-24.
    • (1997) Physica D , vol.110 , pp. 18-24
    • Yang, T.1    Yang, L.B.2    Yang, C.M.3
  • 35
    • 0035635197 scopus 로고    scopus 로고
    • Chaos synchronization via controlling partial state of chaotic systems
    • Yu, X. & Song, Y. [2001] "Chaos synchronization via controlling partial state of chaotic systems," Int. J. Bifurcation and Chaos 11, 1737-1741.
    • (2001) Int. J. Bifurcation and Chaos , vol.11 , pp. 1737-1741
    • Yu, X.1    Song, Y.2
  • 36
    • 0027568004 scopus 로고
    • Bifurcation and chaos in cellular neural networks
    • Zou, F. & Nossek, J. A. [1993] "Bifurcation and chaos in cellular neural networks," IEEE Trans. Circuits Syst. I 40, 166-173.
    • (1993) IEEE Trans. Circuits Syst. I , vol.40 , pp. 166-173
    • Zou, F.1    Nossek, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.