메뉴 건너뛰기




Volumn 16, Issue 3, 2005, Pages 580-586

Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays

Author keywords

Delayed neural networks; Equilibrium and stability analysis; Lyapunov functionals

Indexed keywords

ASSOCIATIVE STORAGE; ASYMPTOTIC STABILITY; CONTROL SYSTEM ANALYSIS; DELAY CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; SYSTEM STABILITY; THEOREM PROVING; VECTORS;

EID: 19344376870     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2005.844910     Document Type: Article
Times cited : (154)

References (34)
  • 1
    • 0028465673 scopus 로고
    • "Necessary and sufficient condition for absolute stability of neural networks"
    • Jul
    • M. Forti, S. Manetti, and M. Marini, "Necessary and sufficient condition for absolute stability of neural networks," IEEE Trans. Circuits Syst. I, vol. 41, no. 7, pp. 491-494, Jul. 1994.
    • (1994) IEEE Trans. Circuits Syst. I , vol.41 , Issue.7 , pp. 491-494
    • Forti, M.1    Manetti, S.2    Marini, M.3
  • 2
    • 0029345226 scopus 로고
    • "New conditions for global stability of neural networks with applications to linear and quadratic programming problems"
    • Jul
    • M. Forti and A. Tesi, "New conditions for global stability of neural networks with applications to linear and quadratic programming problems," IEEE Tran. Circuits Syst. I, vol. 42, no. 7, pp. 354-365, Jul. 1995.
    • (1995) IEEE Tran. Circuits Syst. I , vol.42 , Issue.7 , pp. 354-365
    • Forti, M.1    Tesi, A.2
  • 3
    • 0030190515 scopus 로고    scopus 로고
    • "On the stability of family of nonlinear time varying systems"
    • Jul
    • K. Wang and A. N. Michel, "On the stability of family of nonlinear time varying systems," IEEE Trans. Circuits Syst. I, vol. 43, no. 7, pp. 517-531, Jul. 1996.
    • (1996) IEEE Trans. Circuits Syst. I , vol.43 , Issue.7 , pp. 517-531
    • Wang, K.1    Michel, A.N.2
  • 4
    • 0037274395 scopus 로고    scopus 로고
    • "Absolute exponential stability of a class of continouos-time recurrent neural networks"
    • Jan
    • S. Hu and J. Wang, "Absolute exponential stability of a class of continouos-time recurrent neural networks," IEEE Trans. Neural Netw., vol. 14, no. 1, pp. 35-45 Jan. 2003.
    • (2003) IEEE Trans. Neural Netw. , vol.14 , Issue.1 , pp. 35-45
    • Hu, S.1    Wang, J.2
  • 5
    • 41349095999 scopus 로고    scopus 로고
    • "Global stability of a class of continouos-time recurrent neural networks"
    • S. Hu and J. Wang, "Global stability of a class of continouos-time recurrent neural networks," Phys. Rev. E, vol. 65, p. 036 133, 2002.
    • (2002) Phys. Rev. E , vol.65
    • Hu, S.1    Wang, J.2
  • 6
    • 0035334413 scopus 로고    scopus 로고
    • "Convergence in discrete-time recurrent neural networks with spesific performance"
    • T. Chu, "Convergence in discrete-time recurrent neural networks with spesific performance," Phys. Rev. E, vol. 63, p. 051 904, 2001.
    • (2001) Phys. Rev. E , vol.63
    • Chu, T.1
  • 7
    • 0036745062 scopus 로고    scopus 로고
    • "Global exponential stability of continouos-time interval neural networks"
    • Sep
    • S. Hu and J. Wang, "Global exponential stability of continouos-time interval neural networks," IEEE Trans. Circuits Syst. I, vol. 49, no. 9, pp. 1334-1347, Sep. 2002.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , Issue.9 , pp. 1334-1347
    • Hu, S.1    Wang, J.2
  • 8
    • 0033730977 scopus 로고    scopus 로고
    • "Global asymptotic stability of a class of dynamical neural network"
    • Apr
    • S. Arik "Global asymptotic stability of a class of dynamical neural network," IEEE Trans. Circuits Syst. I, vol. 47, no. 4, pp. 568-571, Apr. 2000.
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , Issue.4 , pp. 568-571
    • Arik, S.1
  • 9
    • 0030145211 scopus 로고    scopus 로고
    • "Equilibrium analysis of nonsymmetric CNN's"
    • S. Arik and V. Tavsanoglu, "Equilibrium analysis of nonsymmetric CNN's," Int. J. Circuit Theory Appl., vol. 24, no. 3, pp. 269-274, 1996.
    • (1996) Int. J. Circuit Theory Appl. , vol.24 , Issue.3 , pp. 269-274
    • Arik, S.1    Tavsanoglu, V.2
  • 10
    • 0028377673 scopus 로고
    • "On a class of globally stable neural circuits"
    • Feb
    • E. Kaszkurewicz and A. Bhaya, "On a class of globally stable neural circuits," IEEE Trans. Circuits Syst. I, vol. 41, no. 2, pp. 171-174, Feb. 1994.
    • (1994) IEEE Trans. Circuits Syst. I , vol.41 , Issue.2 , pp. 171-174
    • Kaszkurewicz, E.1    Bhaya, A.2
  • 11
    • 0032003291 scopus 로고    scopus 로고
    • "Equilibrium analysis of delayed CNNs"
    • Feb
    • S. Arik and V. Tavsanoglu, "Equilibrium analysis of delayed CNNs," IEEE Trans. Circuits Syst. I, vol. 45, no. 2, pp. 168-171, Feb. 1998.
    • (1998) IEEE Trans. Circuits Syst. I , vol.45 , Issue.2 , pp. 168-171
    • Arik, S.1    Tavsanoglu, V.2
  • 12
    • 0033200563 scopus 로고    scopus 로고
    • "Periodic-solutions and exponential stability in delayed cellular neural networks"
    • J. D. Cao, "Periodic-solutions and exponential stability in delayed cellular neural networks," Phys. Rev. E, vol. 60, no. 3, pp. 3244-3248, 1999.
    • (1999) Phys. Rev. E , vol.60 , Issue.3 , pp. 3244-3248
    • Cao, J.D.1
  • 13
    • 0033730279 scopus 로고    scopus 로고
    • "On the global asymptotic stability of delayed cellular neural networks"
    • Apr
    • S. Arik and V. Tavsanoglu, "On the global asymptotic stability of delayed cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 47, no. 4, pp. 571-574, Apr. 2000.
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , Issue.4 , pp. 571-574
    • Arik, S.1    Tavsanoglu, V.2
  • 14
    • 0000459678 scopus 로고    scopus 로고
    • "Global stability for cellular neural networks with time delay"
    • Nov
    • T.-L. Liao and F.-C. Wang, "Global stability for cellular neural networks with time delay," IEEE Trans. Neural Netw., vol. 11, pp. 1481-1485, Nov. 2000.
    • (2000) IEEE Trans. Neural Netw. , vol.11 , pp. 1481-1485
    • Liao, T.-L.1    Wang, F.-C.2
  • 15
    • 0034204697 scopus 로고    scopus 로고
    • "A new sufficient condition for complete stability of cellular neural networks with delay"
    • Jun
    • N. Takahashi, "A new sufficient condition for complete stability of cellular neural networks with delay," IEEE Trans. Circuits Syst. I, vol. 47, no. 6, pp. 793-799, Jun. 2000.
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , Issue.6 , pp. 793-799
    • Takahashi, N.1
  • 16
    • 0035510405 scopus 로고    scopus 로고
    • "Stability criteria for delayed neural networks"
    • H. Lu, "Stability criteria for delayed neural networks," Phys. Rev. E, vol. 64, p. 021 905, 2001.
    • (2001) Phys. Rev. E , vol.64
    • Lu, H.1
  • 17
    • 33646974391 scopus 로고    scopus 로고
    • "Dynamic stability conditions for Lotka-Volterra recurrent neural networks with delays"
    • Z. Yi and K. K. Tan, "Dynamic stability conditions for Lotka-Volterra recurrent neural networks with delays," Phys. Rev. E, vol. 66, p. 011 910, 2002.
    • (2002) Phys. Rev. E , vol.66
    • Yi, Z.1    Tan, K.K.2
  • 18
    • 0034172756 scopus 로고    scopus 로고
    • "Global exponential stability and periodic solutions of cellular neural networks with delay"
    • H. Fang and J. Li, "Global exponential stability and periodic solutions of cellular neural networks with delay," Phys. Rev. E, vol. 61, p. 4212, 2000.
    • (2000) Phys. Rev. E , vol.61 , pp. 4212
    • Fang, H.1    Li, J.2
  • 19
    • 0035365656 scopus 로고    scopus 로고
    • "Convergence analysis of delayed cellular neural networks with unbounded delay"
    • Jun
    • Z. Yi, P. A. Heng, and K. S. Leung, "Convergence analysis of delayed cellular neural networks with unbounded delay," IEEE Trans. Circuits Syst. I, vol. 48, no. 6, pp. 680-687, Jun. 2001.
    • (2001) IEEE Trans. Circuits Syst. I , vol.48 , Issue.6 , pp. 680-687
    • Yi, Z.1    Heng, P.A.2    Leung, K.S.3
  • 20
    • 0035508792 scopus 로고    scopus 로고
    • "Novel robust stability for interval-delayed hopfield neural"
    • Nov
    • X. F. Liao, K. W. Wong, Z. Wu, and G. Chen, "Novel robust stability for interval-delayed hopfield neural," IEEE Trans. Circuits Syst. I, vol. 48, no. 11, pp. 1355-1359, Nov. 2001.
    • (2001) IEEE Trans. Circuits Syst. I , vol.48 , Issue.11 , pp. 1355-1359
    • Liao, X.F.1    Wong, K.W.2    Wu, Z.3    Chen, G.4
  • 21
    • 5644283608 scopus 로고
    • "Qualitative analysis of Cohen-Grossberg neural networks with multiple delays"
    • Mar
    • H. Ye, A. N. Michel, and K. Wang, "Qualitative analysis of Cohen-Grossberg neural networks with multiple delays," Phys. Rev. E, vol. 5, pp. 2611-2618, Mar. 1995.
    • (1995) Phys. Rev. E , vol.5 , pp. 2611-2618
    • Ye, H.1    Michel, A.N.2    Wang, K.3
  • 22
    • 0036647562 scopus 로고    scopus 로고
    • "LMI-based approach for asymptotic stability analysis of delayed neural networks"
    • Jul
    • X. Liao, G. Chen, and E. N. Sanchez, "LMI-based approach for asymptotic stability analysis of delayed neural networks," IEEE Trans. Circuits Syst. I, vol. 49, no. 7, pp. 1033-1039, Jul. 2002.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , Issue.7 , pp. 1033-1039
    • Liao, X.1    Chen, G.2    Sanchez, E.N.3
  • 23
    • 0032069555 scopus 로고    scopus 로고
    • "Qualitative analysis of bi-directional associative memory with time delay"
    • X. Liao and J. Yu, "Qualitative analysis of bi-directional associative memory with time delay," Int. J. Circuit Theory Appl., vol. 26, pp. 219-229, 1998.
    • (1998) Int. J. Circuit Theory Appl. , vol.26 , pp. 219-229
    • Liao, X.1    Yu, J.2
  • 24
    • 0028542772 scopus 로고
    • "Delay-dependent stability in bi-directional associative memory networks"
    • Nov
    • K. Gopalsamy and X.-Z. He, "Delay-dependent stability in bi-directional associative memory 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
  • 25
    • 0035263905 scopus 로고    scopus 로고
    • "Global stability analysis of bidirectional associative memory neural networks with time delay"
    • J. Zhang and Y. Yang, "Global stability analysis of bidirectional associative memory neural networks with time delay," Int. J. Circuit Theory Appl., vol. 29, pp. 185-196, 2001.
    • (2001) Int. J. Circuit Theory Appl. , vol.29 , pp. 185-196
    • Zhang, J.1    Yang, Y.2
  • 26
    • 0036748296 scopus 로고    scopus 로고
    • "Novel stability criteria for bidirectional associative memory neural networks with time delays"
    • 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, pp. 519-546, 2002.
    • (2002) Int. J. Circuit Theory Appl. , vol.30 , pp. 519-546
    • Liao, X.1    Yu, J.2    Chen, G.3
  • 27
    • 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
  • 28
    • 2442603136 scopus 로고    scopus 로고
    • "Global stability of bidirectional associative memory neural networks with distributed delays"
    • H. Zhao, "Global stability of bidirectional associative memory neural networks with distributed delays," Phys. Lett. A, vol. 30, pp. 519-524, 2002.
    • (2002) Phys. Lett. A , vol.30 , pp. 519-524
    • Zhao, H.1
  • 29
    • 0035890410 scopus 로고    scopus 로고
    • "Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks"
    • S. Mohamad, "Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks," Physica D, vol. 159, pp. 233-251, 2001.
    • (2001) Physica D , vol.159 , pp. 233-251
    • Mohamad, S.1
  • 30
    • 0037440581 scopus 로고    scopus 로고
    • "Exponential stability of delayed bi-directional associative memory networks"
    • J. Cao and M. Dong, "Exponential stability of delayed bi-directional associative memory networks," Appl. Math. Comput., vol. 135, pp. 105-112, 2003.
    • (2003) Appl. Math. Comput. , vol.135 , pp. 105-112
    • Cao, J.1    Dong, M.2
  • 31
    • 0037609583 scopus 로고    scopus 로고
    • "Global asymptotic stability of delayed bi-directional associative memory neural networks"
    • J. Cao, "Global asymptotic stability of delayed bi-directional associative memory neural networks," Appl. Math. Comput., vol. 142, pp. 333-339, 2003.
    • (2003) Appl. Math. Comput. , vol.142 , pp. 333-339
    • Cao, J.1
  • 32
    • 0141834101 scopus 로고    scopus 로고
    • "Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays"
    • X. Liao and K. Wong, "Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays," Phys. Rev. E, vol. 67, p. 0 402 901, 2003.
    • (2003) Phys. Rev. E , vol.67 , pp. 0402901
    • Liao, X.1    Wong, K.2
  • 33
    • 0037216976 scopus 로고    scopus 로고
    • "Global asymptotic stability of a general class of recurrent neural networks with time-varying delays"
    • Jan
    • J. Cao and J. Wang, "Global asymptotic stability of a general class of recurrent neural networks with time-varying delays," IEEE Trans. Circuits Syst. I, vol. 50, no. 1, pp. 34-44, Jan. 2003.
    • (2003) IEEE Trans. Circuits Syst. I , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.1    Wang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.