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Volumn 19, Issue 3, 2008, Pages 397-407

Global exponential stability of bidirectional associative memory neural networks with time delays

Author keywords

Bidirectional associative memory (BAM) neural networks (NNs); Global exponential stability; Lyapunov functionals; Young's inequality

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONS; MATRIX ALGEBRA; NEURAL NETWORKS; TIME DELAY;

EID: 40949129574     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2007.908633     Document Type: Article
Times cited : (40)

References (29)
  • 1
    • 0033730977 scopus 로고    scopus 로고
    • Global asymptotic stability of a class of dynamical neural networks
    • Apr
    • S. Arik, "Global asymptotic stability of a class of dynamical neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 4, pp. 568-571, Apr. 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.47 , Issue.4 , pp. 568-571
    • Arik, S.1
  • 3
    • 0033730279 scopus 로고    scopus 로고
    • On global asymptotic stability of delayed cellular neural networks
    • Apr
    • S. Arik and V. Tavsanoglu, "On global asymptotic stability of delayed cellular neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 4, pp. 571-574, Apr. 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.47 , Issue.4 , pp. 571-574
    • Arik, S.1    Tavsanoglu, V.2
  • 4
    • 0033200563 scopus 로고    scopus 로고
    • Periodic-solutions and exponential stability in delayed cellular neural networks
    • Sep
    • J. Cao, "Periodic-solutions and exponential stability in delayed cellular neural networks," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 60, no. 3, pp. 3244-3248, Sep. 1999.
    • (1999) Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top , vol.60 , Issue.3 , pp. 3244-3248
    • Cao, J.1
  • 5
    • 20144369395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of recurrent neural networks with time delays
    • May
    • J. Cao and J. Wang, "Global exponential stability and periodicity of recurrent neural networks with time delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 5, pp. 920-931, May 2005.
    • (2005) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.52 , Issue.5 , pp. 920-931
    • Cao, J.1    Wang, J.2
  • 6
    • 34047142309 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation in a simplified BAM neural network with two time delays
    • Mar
    • J. Cao and M. Xiao, "Stability and Hopf bifurcation in a simplified BAM neural network with two time delays," IEEE Trans. Neural Netw., vol. 18, no. 2, pp. 416-430, Mar. 2007.
    • (2007) IEEE Trans. Neural Netw , vol.18 , Issue.2 , pp. 416-430
    • Cao, J.1    Xiao, M.2
  • 7
    • 33144457797 scopus 로고    scopus 로고
    • Stability analysis of Cohen-Grossberg neural networks
    • Jan
    • S. Guo and L. Huang, "Stability analysis of Cohen-Grossberg neural networks," IEEE Trans. Neural Netw., vol. 17, no. 1, pp. 106-117, Jan. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.1 , pp. 106-117
    • Guo, S.1    Huang, L.2
  • 8
    • 33750116428 scopus 로고    scopus 로고
    • Global exponential stability of multitime scale competitive neural networks with nonsmooth functions
    • Sep
    • H. Lu and S.-I. Amari, "Global exponential stability of multitime scale competitive neural networks with nonsmooth functions," IEEE Trans. Neural Netw., vol. 17, no. 5, pp. 1152-1164, Sep. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.5 , pp. 1152-1164
    • Lu, H.1    Amari, S.-I.2
  • 9
    • 33646523344 scopus 로고    scopus 로고
    • Improved conditions for global exponential stability of recurrent neural networks with time-varying delays
    • May
    • Z. Zeng and J.Wang, "Improved conditions for global exponential stability of recurrent neural networks with time-varying delays," IEEE Trans. Neural Netw., vol. 17, no. 3, pp. 623-635, May 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.3 , pp. 623-635
    • Zeng, Z.1    Wang, J.2
  • 10
    • 0023861743 scopus 로고
    • Bidirectional associative memories
    • Jan./Feb
    • B. Kosto, "Bidirectional associative memories," IEEE Trans. Syst. Man Cybern., vol. SMC-18, no. 1, pp. 49-60, Jan./Feb. 1988.
    • (1988) IEEE Trans. Syst. Man Cybern , vol.SMC-18 , Issue.1 , pp. 49-60
    • Kosto, B.1
  • 11
    • 0036506075 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory solution in BAM networks with delays
    • Mar
    • J. Cao and L.Wang, "Exponential stability and periodic oscillatory solution in BAM networks with delays," IEEE Trans. Neural Netw., vol. 13, no. 2, pp. 457-463, Mar. 2002.
    • (2002) IEEE Trans. Neural Netw , vol.13 , Issue.2 , pp. 457-463
    • Cao, J.1    Wang, L.2
  • 12
    • 0037467691 scopus 로고    scopus 로고
    • New results concerning exponential stability and periodic solutions of delayed cellular neural networks
    • Jan
    • J. Cao, "New results concerning exponential stability and periodic solutions of delayed cellular neural networks," Phys. Lett. A, vol. 307, no. 2-3, pp. 136-147, Jan. 2003.
    • (2003) Phys. Lett. A , vol.307 , Issue.2-3 , pp. 136-147
    • Cao, J.1
  • 13
    • 0028542772 scopus 로고
    • Delay-dependent stability in bidirectional associative memory neural networks
    • Nov
    • K. Gopalsamy and X. Z. He, "Delay-dependent stability in bidirectional associative memory neural networks," IEEE Trans. Neural Netw., vol. 5, no. 6, pp. 998-1002, Nov. 1994.
    • (1994) IEEE Trans. Neural Netw , vol.5 , Issue.6 , pp. 998-1002
    • Gopalsamy, K.1    He, X.Z.2
  • 14
    • 0032069555 scopus 로고    scopus 로고
    • Qualitative analysis of bi-directional associative memory with time delay
    • May/Jun
    • X. Liao and J. Yu, "Qualitative analysis of bi-directional associative memory with time delay," Int. J. Circuit. Theory Appl., vol. 26, no. 3, pp. 219-229, May/Jun. 1998.
    • (1998) Int. J. Circuit. Theory Appl , vol.26 , Issue.3 , pp. 219-229
    • Liao, X.1    Yu, J.2
  • 15
    • 0036748296 scopus 로고    scopus 로고
    • Novel stability criteria for bidirectional associative memory neural networks with time delays
    • Sep./Oct
    • X. Liao, J. Yu, and G. Chen, "Novel stability criteria for bidirectional associative memory neural networks with time delays," Int. J. Circuit Theory Appl., vol. 30, no. 5, pp. 519-546, Sep./Oct. 2002.
    • (2002) Int. J. Circuit Theory Appl , vol.30 , Issue.5 , pp. 519-546
    • Liao, X.1    Yu, J.2    Chen, G.3
  • 16
    • 0035890410 scopus 로고    scopus 로고
    • Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks
    • Nov
    • S. Mohamad, "Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks," Physica D, vol. 159, no. 3-4, pp. 233-251, Nov. 2001.
    • (2001) Physica D , vol.159 , Issue.3-4 , pp. 233-251
    • Mohamad, S.1
  • 17
    • 0035263905 scopus 로고    scopus 로고
    • Global stability analysis of bidirectional associative memory neural networks with time delay
    • Mar./Apr
    • J. Zhang and Y. Yang, "Global stability analysis of bidirectional associative memory neural networks with time delay," Int. J. Circuit Theory Appl., vol. 29, no. 2, pp. 185-196, Mar./Apr. 2001.
    • (2001) Int. J. Circuit Theory Appl , vol.29 , Issue.2 , pp. 185-196
    • Zhang, J.1    Yang, Y.2
  • 18
    • 0037071084 scopus 로고    scopus 로고
    • Global stability of bidirectional associative memory neural networks with distributed delays
    • May
    • H. Zhao, "Global stability of bidirectional associative memory neural networks with distributed delays," Phys. Lett. A, vol. 297, no. 3-4, pp. 182-190, May 2002.
    • (2002) Phys. Lett. A , vol.297 , Issue.3-4 , pp. 182-190
    • Zhao, H.1
  • 19
    • 19344376870 scopus 로고    scopus 로고
    • Global asymptotic stability of bidirectional associative memory neural networks with time delays
    • May
    • S. Arik, "Global asymptotic stability of bidirectional associative memory neural networks with time delays," IEEE Trans. Neural Netw. vol. 16, no. 3, pp. 580-586, May 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.3 , pp. 580-586
    • Arik, S.1
  • 20
    • 0037440581 scopus 로고    scopus 로고
    • Exponential stability of delayed bi-directional associative memory networks
    • Feb
    • J. Cao and M. Dong, "Exponential stability of delayed bi-directional associative memory networks," Appl. Math. Comput., vol. 135, no. 1, pp. 105-112, Feb. 2003.
    • (2003) Appl. Math. Comput , vol.135 , Issue.1 , pp. 105-112
    • Cao, J.1    Dong, M.2
  • 21
    • 0141834101 scopus 로고    scopus 로고
    • Global exponential stability of hybrid bi-directional associative memory neural networks with discrete delays
    • Apr
    • X. Liao and K.Wong, "Global exponential stability of hybrid bi-directional associative memory neural networks with discrete delays," Phys. Rev. E, vol. 67, pp. 042 901-042 904, Apr. 2003.
    • (2003) Phys. Rev. E , vol.67
    • Liao, X.1    Wong, K.2
  • 23
    • 0034266878 scopus 로고    scopus 로고
    • Global stability analysis in delayed Hopfield neural network models
    • Jun
    • J. Zhang and X. S. Jin, "Global stability analysis in delayed Hopfield neural network models," IEEE Trans. Neural Netw., vol. 13, no. 3, pp. 745-753, Jun. 2000.
    • (2000) IEEE Trans. Neural Netw , vol.13 , Issue.3 , pp. 745-753
    • Zhang, J.1    Jin, X.S.2
  • 24
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neutons
    • J. Hopfield, "Neurons with graded response have collective computational properties like those of two-state neutons," Proc. Nat. Acad. Sci. USA, vol. 81, pp. 3088-3092, 1984.
    • (1984) Proc. Nat. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.1
  • 25
    • 15744372086 scopus 로고    scopus 로고
    • Global exponential stability of Cohen-Grossberg neural networks with variable delays
    • Apr
    • J. Zhang, Y. Suda, and H. Komine, "Global exponential stability of Cohen-Grossberg neural networks with variable delays," Phys. Lett. A vol. 338, no. 1, pp. 44-50, Apr. 2005.
    • (2005) Phys. Lett. A , vol.338 , Issue.1 , pp. 44-50
    • Zhang, J.1    Suda, Y.2    Komine, H.3
  • 26
    • 13844264516 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of cellular neural networks with variable delays
    • Mar
    • H. Zhao, "Global exponential stability and periodicity of cellular neural networks with variable delays," Phys. Lett. A, vol. 336, no. 4-5, pp. 331-341, Mar. 2005.
    • (2005) Phys. Lett. A , vol.336 , Issue.4-5 , pp. 331-341
    • Zhao, H.1
  • 27
    • 28444479443 scopus 로고    scopus 로고
    • New conditions for global exponential stability of cellular neural networks with delays
    • Dec
    • H. Zhao and J. Cao, "New conditions for global exponential stability of cellular neural networks with delays," Neural Netw., vol. 18, no. 10, pp. 1332-1340, Dec. 2005.
    • (2005) Neural Netw , vol.18 , Issue.10 , pp. 1332-1340
    • Zhao, H.1    Cao, J.2
  • 28
    • 29444439846 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory of bi-directional associative memory neural network involving delays
    • Jan
    • H. Zhao, "Exponential stability and periodic oscillatory of bi-directional associative memory neural network involving delays," Neurocomputing, vol. 69, no. 4-6, pp. 424-448, Jan. 2006.
    • (2006) Neurocomputing , vol.69 , Issue.4-6 , pp. 424-448
    • Zhao, H.1
  • 29
    • 22844446369 scopus 로고    scopus 로고
    • Existence of periodic oscillatory solution of reaction diffusion neural networks with delays
    • Aug
    • H. Zhao and G. Wang, "Existence of periodic oscillatory solution of reaction diffusion neural networks with delays," Phys. Lett. A, vol. 343, no. 15, pp. 372-383, Aug. 2005.
    • (2005) Phys. Lett. A , vol.343 , Issue.15 , pp. 372-383
    • Zhao, H.1    Wang, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.