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Volumn 2013, Issue , 2013, Pages

Stability and periodicity for impulsive neural networks with delays

Author keywords

Delays; Impulsive; Periodicity; Stability

Indexed keywords


EID: 84897834487     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1186/1687-1847-2013-352     Document Type: Article
Times cited : (3)

References (28)
  • 1
    • 0024088955 scopus 로고
    • Cellular neural networks: Theory and applications
    • Chua, LO, Yang, L: Cellular neural networks: theory and applications. IEEE Trans. Circuits Syst. 35, 1257-1290 (1988)
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 1257-1290
    • Chua, L.O.1    Yang, L.2
  • 3
    • 3142686145 scopus 로고    scopus 로고
    • Exponential periodicity and stability of delayed neural networks
    • Sun, CY, Feng, CB: Exponential periodicity and stability of delayed neural networks. Math. Comput. Simul. 66, 469-478 (2004)
    • (2004) Math. Comput. Simul. , vol.66 , pp. 469-478
    • Sun, C.Y.1    Feng, C.B.2
  • 4
    • 33344456502 scopus 로고    scopus 로고
    • Global exponential stability of high order Hopfield type neural networks
    • Xu, BJ, Liu, XZ, Liao, XX: Global exponential stability of high order Hopfield type neural networks. Appl. Math. Comput. 174, 98-116 (2006)
    • (2006) Appl. Math. Comput. , vol.174 , pp. 98-116
    • Xu, B.J.1    Liu, X.Z.2    Liao, X.X.3
  • 5
    • 0038344694 scopus 로고    scopus 로고
    • Global asymptotic stability of high-order Hopfield type neural networks with time delays
    • Xu, BJ, Liu, XZ, Liao, XX: Global asymptotic stability of high-order Hopfield type neural networks with time delays. Comput. Math. Appl. 45, 1729-1737 (2003)
    • (2003) Comput. Math. Appl. , vol.45 , pp. 1729-1737
    • Xu, B.J.1    Liu, X.Z.2    Liao, X.X.3
  • 6
    • 0037467691 scopus 로고    scopus 로고
    • New results concerning exponential stability and periodic solutions of delayed cellular neural networks
    • Cao, JD: New results concerning exponential stability and periodic solutions of delayed cellular neural networks. Phys. Lett. A 307, 136-147 (2003)
    • (2003) Phys. Lett. A , vol.307 , pp. 136-147
    • Cao, J.D.1
  • 7
    • 1642287604 scopus 로고    scopus 로고
    • Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays
    • Cao, JD, Wang, J: Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays. Neural Netw. 17, 379-390 (2004)
    • (2004) Neural Netw , vol.17 , pp. 379-390
    • Cao, J.D.1    Wang, J.2
  • 8
    • 33750375215 scopus 로고    scopus 로고
    • Global exponential stability of periodic neural networks with time-varying delays
    • Jiang, HJ, Cao, JD: Global exponential stability of periodic neural networks with time-varying delays. Neurocomputing 70, 343-350 (2006)
    • (2006) Neurocomputing , vol.70 , pp. 343-350
    • Jiang, H.J.1    Cao, J.D.2
  • 9
    • 4143137701 scopus 로고    scopus 로고
    • Global exponential stability of cellular neural networks with time-varying coefficient and delays
    • Jiang, HJ, Teng, ZD: Global exponential stability of cellular neural networks with time-varying coefficient and delays. Neural Netw. 17, 1415-1425 (2004)
    • (2004) Neural Netw , vol.17 , pp. 1415-1425
    • Jiang, H.J.1    Teng, Z.D.2
  • 10
    • 0037434107 scopus 로고    scopus 로고
    • Boundedness and stability for nonautonomous cellular neural networks with delay
    • Jiang, HJ, Li, ZM, Teng, ZD: Boundedness and stability for nonautonomous cellular neural networks with delay. Phys. Lett. A 306, 313-325 (2003)
    • (2003) Phys. Lett. A , vol.306 , pp. 313-325
    • Jiang, H.J.1    Li, Z.M.2    Teng, Z.D.3
  • 11
    • 33644969138 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution for delayed high-order Hopfield-type neural networks
    • Xiang, H, Yan, KM, Wang, BY: Existence and global exponential stability of periodic solution for delayed high-order Hopfield-type neural networks. Phys. Lett. A 352, 341-349 (2006)
    • (2006) Phys. Lett. A , vol.352 , pp. 341-349
    • Xiang, H.1    Yan, K.M.2    Wang, B.Y.3
  • 12
    • 40749105772 scopus 로고    scopus 로고
    • Stability and periodicity in high-order neural networks with impulsive effects
    • doi:10.1016/j.na.2007.03.024
    • Gu, HB, Jiang, HJ, Teng, ZD: Stability and periodicity in high-order neural networks with impulsive effects. Nonlinear Anal. (2007). doi:10.1016/j.na.2007.03.024
    • (2007) Nonlinear Anal
    • Gu, H.B.1    Jiang, H.J.2    Teng, Z.D.3
  • 13
    • 33847382781 scopus 로고    scopus 로고
    • Existence and exponential stability of periodic solution of BAM neural networks with impulse and time-varying delay
    • Wang, H, Liao, XF, Li, CD: Existence and exponential stability of periodic solution of BAM neural networks with impulse and time-varying delay. Chaos Solitons Fractals 33, 1028-1039 (2007)
    • (2007) Chaos Solitons Fractals , vol.33 , pp. 1028-1039
    • Wang, H.1    Liao, X.F.2    Li, C.D.3
  • 14
    • 9644278130 scopus 로고    scopus 로고
    • Delay-independent exponential stability of recurrent neural networks
    • Zhao, HY, Wang, GL: Delay-independent exponential stability of recurrent neural networks. Phys. Lett. A 333, 399-407 (2004)
    • (2004) Phys. Lett. A , vol.333 , pp. 399-407
    • Zhao, H.Y.1    Wang, G.L.2
  • 15
    • 24344483452 scopus 로고    scopus 로고
    • Dynamics of a class of cellular neural networks with time-varying delays
    • Huang, LH, Huang, CX, Liu, BW: Dynamics of a class of cellular neural networks with time-varying delays. Phys. Lett. A 345, 330-344 (2005)
    • (2005) Phys. Lett. A , vol.345 , pp. 330-344
    • Huang, L.H.1    Huang, C.X.2    Liu, B.W.3
  • 16
    • 0347511635 scopus 로고    scopus 로고
    • Dynamics of periodic delayed neural networks
    • Zhou, J, Liu, Z, Chen, G: Dynamics of periodic delayed neural networks. Neural Netw. 17, 87-101 (2004)
    • (2004) Neural Netw , vol.17 , pp. 87-101
    • Zhou, J.1    Liu, Z.2    Chen, G.3
  • 17
    • 79952438772 scopus 로고    scopus 로고
    • Exponential stability of periodic neural networks with impulsive effects and time-varying delays
    • Shao, YF: Exponential stability of periodic neural networks with impulsive effects and time-varying delays. Appl. Math. Comput. 217, 6893-6899 (2011)
    • (2011) Appl. Math. Comput. , vol.217 , pp. 6893-6899
    • Shao, Y.F.1
  • 18
    • 69449105408 scopus 로고    scopus 로고
    • Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales
    • doi:10.1155/2009/491268
    • Li, YK, Hua, YC, Fei, Y: Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales. J. Inequal. Appl. (2009). doi:10.1155/2009/491268
    • (2009) J. Inequal. Appl.
    • Li, Y.K.1    Hua, Y.C.2    Fei, Y.3
  • 19
    • 21744433519 scopus 로고    scopus 로고
    • Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays
    • Yang, XF, Liao, XF, Evans, DJ, Tang, YY: Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays. Phys. Lett. A 343, 108-116 (2005)
    • (2005) Phys. Lett. A , vol.343 , pp. 108-116
    • Yang, X.F.1    Liao, X.F.2    Evans, D.J.3    Tang, Y.Y.4
  • 20
    • 33745147222 scopus 로고    scopus 로고
    • Delay-dependent asymptotic stability for neural networks with distributed delays
    • Liao, XF, Liu, Q, Zhang, W: Delay-dependent asymptotic stability for neural networks with distributed delays. Nonlinear Anal., Real World Appl. 7, 1178-1192 (2006)
    • (2006) Nonlinear Anal., Real World Appl. , vol.7 , pp. 1178-1192
    • Liao, X.F.1    Liu, Q.2    Zhang, W.3
  • 21
    • 9644255680 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with delays and impulses
    • Li, YK: Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24, 279-285 (2005)
    • (2005) Chaos Solitons Fractals , vol.24 , pp. 279-285
    • Li, Y.K.1
  • 22
    • 22844442780 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution of a class of neural networks with impulses
    • Li, YK, Xing, WY, Lu, LH: Existence and global exponential stability of periodic solution of a class of neural networks with impulses. Chaos Solitons Fractals 27, 437-445 (2006)
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 437-445
    • Li, Y.K.1    Xing, W.Y.2    Lu, L.H.3
  • 23
    • 14944375850 scopus 로고    scopus 로고
    • Existence and stability of positive periodic solution for BAM neural networks with delays
    • Li, YK, Liu, P: Existence and stability of positive periodic solution for BAM neural networks with delays. Math. Comput. Model. 40, 757-770 (2004)
    • (2004) Math. Comput. Model. , vol.40 , pp. 757-770
    • Li, Y.K.1    Liu, P.2
  • 24
    • 33750034621 scopus 로고    scopus 로고
    • Stability and periodicity in delayed cellular neural networks with impulsive effects
    • Yang, YQ, Cao, JD: Stability and periodicity in delayed cellular neural networks with impulsive effects. Nonlinear Anal., Real World Appl. 8, 362-374 (2007)
    • (2007) Nonlinear Anal., Real World Appl. , vol.8 , pp. 362-374
    • Yang, Y.Q.1    Cao, J.D.2
  • 25
    • 33846397505 scopus 로고    scopus 로고
    • Periodic solutions of nonautonomous cellular neural networks with impulses
    • Gui, ZJ, Ge, WG: Periodic solutions of nonautonomous cellular neural networks with impulses. Chaos Solitons Fractals 32, 1760-1771 (2007)
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 1760-1771
    • Gui, Z.J.1    Ge, W.G.2
  • 26
    • 78649933334 scopus 로고    scopus 로고
    • The existence of exponential periodic attractor of impulsive BAM neural network with time-varying coefficients and distributed delays
    • Shao, YF, Dai, BX: The existence of exponential periodic attractor of impulsive BAM neural network with time-varying coefficients and distributed delays. Neurocomputing 73, 3123-3131 (2010)
    • (2010) Neurocomputing , vol.73 , pp. 3123-3131
    • Shao, Y.F.1    Dai, B.X.2
  • 27
    • 33646076740 scopus 로고    scopus 로고
    • Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses
    • Gui, ZJ, Ge, WG: Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses. Phys. Lett. A 354, 84-94 (2006)
    • (2006) Phys. Lett. A , vol.354 , pp. 84-94
    • Gui, Z.J.1    Ge, W.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.