메뉴 건너뛰기




Volumn 52, Issue 9, 2005, Pages 1854-1861

An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis

Author keywords

Cohen Grossberg neural networks; Generalized Jacobian; Global asymptotic stability; Homeomorphism; Lyapunov functional; Nonsmooth analysis; Spectral radius

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; LYAPUNOV METHODS; MATRIX ALGEBRA;

EID: 27144538710     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2005.852210     Document Type: Article
Times cited : (102)

References (31)
  • 1
    • 0020970741 scopus 로고
    • "Absolute stability and global pattern formation and paraller memory storage by competitive neural networks"
    • M. A. Cohen and S. Grossdberg, "Absolute stability and global pattern formation and paraller memory storage by competitive neural networks," IEEE Trans. Syst. Man Cybern., vol. 13, pp. 815-826, 1983.
    • (1983) IEEE Trans. Syst. Man Cybern. , vol.13 , pp. 815-826
    • Cohen, M.A.1    Grossdberg, S.2
  • 2
    • 0000256610 scopus 로고
    • "Stability of analog neural networks with delay"
    • C. Marcus and R. Westervelt, "Stability of analog neural networks with delay," Phys. Rev. A, vol. 39, pp. 347-359, 1989.
    • (1989) Phys. Rev. A , vol.39 , pp. 347-359
    • Marcus, C.1    Westervelt, R.2
  • 3
    • 5644283608 scopus 로고
    • "Qualitive analysis of Cohen-Grossberg neural networks with multiple delays"
    • H. Ye, A. N. Michel, and K. Wang, "Qualitive analysis of Cohen-Grossberg neural networks with multiple delays," Phys. Rev. E, vol. 51, pp. 2611-2618, 1995.
    • (1995) Phys. Rev. E , vol.51 , pp. 2611-2618
    • Ye, H.1    Michel, A.N.2    Wang, K.3
  • 4
    • 0035989169 scopus 로고    scopus 로고
    • "Exponential stability of Cohen-Grossberg neural networks"
    • L. Wang and X. Zou, "Exponential stability of Cohen-Grossberg neural networks," Neur. Networks, vol. 15, pp. 415-422, 2002.
    • (2002) Neur. Networks , vol.15 , pp. 415-422
    • Wang, L.1    Zou, X.2
  • 5
    • 0036722564 scopus 로고    scopus 로고
    • "Harmless delays in Cohen-Grossberg neural networks"
    • L. Wang and X. Zou, "Harmless delays in Cohen-Grossberg neural networks," Phys. D, vol. 170, pp. 162-173, 2002.
    • (2002) Phys. D , vol.170 , pp. 162-173
    • Wang, L.1    Zou, X.2
  • 6
    • 0037928710 scopus 로고    scopus 로고
    • "New conditions on global stability of Cohen-Grossberg neural networks"
    • W. Lu and T. Chen, "New conditions on global stability of Cohen-Grossberg neural networks," Neural Comput., vol. 15, pp. 1173-1189, 2003.
    • (2003) Neural Comput. , vol.15 , pp. 1173-1189
    • Lu, W.1    Chen, T.2
  • 7
    • 0142087577 scopus 로고    scopus 로고
    • "Delay-independent stability analysis of Cohen-Grossberg neural networks"
    • T. Chen and L. Rong, "Delay-independent stability analysis of Cohen-Grossberg neural networks," Phys. Lett. A, vol. 317, pp. 436-449, 2003.
    • (2003) Phys. Lett. A , vol.317 , pp. 436-449
    • Chen, T.1    Rong, L.2
  • 8
    • 1242308776 scopus 로고    scopus 로고
    • "Robust global exponential stability of Cohen-Grossberg neural networks with time delays"
    • Jan
    • T. Chen and L. Rong, "Robust global exponential stability of Cohen-Grossberg neural networks with time delays," IEEE Trans. Neur. Networks, vol. 15, pp. 203-206, Jan. 2004.
    • (2004) IEEE Trans. Neur. Networks , vol.15 , pp. 203-206
    • Chen, T.1    Rong, L.2
  • 9
    • 3442880393 scopus 로고    scopus 로고
    • "Boundedness and stability for Cohen-Grossberg neural network with time-varying delays"
    • J. Cao and J. Liang, "Boundedness and stability for Cohen-Grossberg neural network with time-varying delays," J. Math. Anal. Appl., vol. 296, no. 2, pp. 665-685, 2004.
    • (2004) J. Math. Anal. Appl. , vol.296 , Issue.2 , pp. 665-685
    • Cao, J.1    Liang, J.2
  • 10
    • 0004469897 scopus 로고
    • "Neurons with graded response have collective computational properties like those of two-stage neurons"
    • J. J. Hopfield, "Neurons with graded response have collective computational properties like those of two-stage neurons," Proc. Nat. Acad. Sci-Biol., vol. 81, pp. 3088-3092, 1984.
    • (1984) Proc. Nat. Acad. Sci-Biol. , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 11
    • 0031672895 scopus 로고    scopus 로고
    • "Stability analysis for neural dynamics with time-varying delays"
    • January
    • C. H. Hou and J. X. Qian, "Stability analysis for neural dynamics with time-varying delays," IEEE Trans. Neural. Networks, vol. 9, pp. 221-223, January 1998.
    • (1998) IEEE Trans. Neural. Networks , vol.9 , pp. 221-223
    • Hou, C.H.1    Qian, J.X.2
  • 12
    • 0035262752 scopus 로고    scopus 로고
    • "Global exponential stability of Hopfield neural networks"
    • J. Cao, "Global exponential stability of Hopfield neural networks," Int. J. Syst. Sci., vol. 32, no. 2, pp. 233-236, 2001.
    • (2001) Int. J. Syst. Sci. , vol.32 , Issue.2 , pp. 233-236
    • Cao, J.1
  • 13
    • 14644434391 scopus 로고    scopus 로고
    • "Global asymptotic and robust stability of recurrent neural networks with time delays"
    • Feb
    • J. Cao and J. Wang, "Global asymptotic and robust stability of recurrent neural networks with time delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 2, pp. 417-426, Feb. 2005.
    • (2005) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.52 , Issue.2 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 14
    • 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, Fundam. Theory Appl., vol. 50, no. 1, pp. 34-44, Jan. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 15
    • 0023861743 scopus 로고
    • "Bi-directional associative memories"
    • Jan/Feb
    • B. Kosko, "Bi-directional associative memories," IEEE Trans. Syst. Man Cybernet., vol. 18, no. 1, pp. 49-60, Jan/Feb 1988.
    • (1988) IEEE Trans. Syst. Man Cybernet. , vol.18 , Issue.1 , pp. 49-60
    • Kosko, B.1
  • 16
    • 0028542772 scopus 로고
    • "Delay-indepent stability in bidirectional associative memory networks"
    • Nov
    • K. Gopalsamy and X. Z. He, "Delay-indepent stability in bidirectional associative memory networks," IEEE Trans. Neur. Networks, vol. 5, pp. 998-1002, Nov. 1994.
    • (1994) IEEE Trans. Neur. Networks , vol.5 , pp. 998-1002
    • Gopalsamy, K.1    He, X.Z.2
  • 17
    • 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. Neur. Networks, vol. 15, no. 2, pp. 457-463, Mar. 2002.
    • (2002) IEEE Trans. Neur. Networks , vol.15 , Issue.2 , pp. 457-463
    • Cao, J.1    Wang, L.2
  • 18
    • 0037609583 scopus 로고    scopus 로고
    • "Global asymptotics stability of delayed bi-directional associative memory neural networks"
    • J. Cao, "Global asymptotics 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
  • 19
    • 10644236158 scopus 로고    scopus 로고
    • "Exponential stability of high-order bidirectional associative memory neural networks with time delays"
    • J. Cao, J. Liang, and J. Lam, "Exponential stability of high-order bidirectional associative memory neural networks with time delays," Phys. D, vol. 199, no. 3-4, pp. 425-436, 2004.
    • (2004) Phys. D , vol.199 , Issue.3-4 , pp. 425-436
    • Cao, J.1    Liang, J.2    Lam, J.3
  • 20
    • 0024088955 scopus 로고
    • "Cellular neural networks: Theory"
    • Oct
    • L. O. Chua and L. Yang, "Cellular neural networks: theory," IEEE Trans. Circuits Syst., vol. 35, no. 10, pp. 1257-1272, Oct. 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , Issue.10 , pp. 1257-1272
    • Chua, L.O.1    Yang, L.2
  • 21
    • 0024092072 scopus 로고
    • "Cellular neural networks: Applications"
    • Oct
    • L. O. Chua and L. Yang, "Cellular neural networks: applications," IEEE Trans. Circuits Syst., vol. 35, no. 10, pp. 1273-1290, Oct. 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , Issue.10 , pp. 1273-1290
    • Chua, L.O.1    Yang, L.2
  • 22
    • 0035303488 scopus 로고    scopus 로고
    • "A set of stability criteria for delayed cellular neural networks"
    • Apr
    • J. Cao, "A set of stability criteria for delayed cellular neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 4, pp. 494-498, Apr. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.48 , Issue.4 , pp. 494-498
    • Cao, J.1
  • 23
    • 0035507277 scopus 로고    scopus 로고
    • "Global stability conditions for delayed CNNs"
    • Nov
    • J. Cao, "Global stability conditions for delayed CNNs," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 11, pp. 1330-1333, Nov. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.48 , Issue.11 , pp. 1330-1333
    • Cao, J.1
  • 24
    • 0037467691 scopus 로고    scopus 로고
    • "New results concerning exponential stability and periodic solutions of delayed cellular neural networks"
    • 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, 2003.
    • (2003) Phys. Lett. A , vol.307 , Issue.2-3 , pp. 136-147
    • Cao, J.1
  • 25
    • 1242331018 scopus 로고    scopus 로고
    • "A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks"
    • Jan
    • V. Singh, "A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks," IEEE Trans. Neur. Networks, vol. 15, no. 1, pp. 223-225, Jan. 2004.
    • (2004) IEEE Trans. Neur. Networks , vol.15 , Issue.1 , pp. 223-225
    • Singh, V.1
  • 28
    • 0035595452 scopus 로고    scopus 로고
    • "Convergence of Newton's method for convex best interpolation"
    • A. L. Dontchev, H. Qi, and L. Qi, "Convergence of Newton's method for convex best interpolation," Numer. Math., vol. 87, pp. 435-456, 2001.
    • (2001) Numer. Math. , vol.87 , pp. 435-456
    • Dontchev, A.L.1    Qi, L.2    Qi, H.3
  • 29
    • 1242308790 scopus 로고    scopus 로고
    • "Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis"
    • Jan
    • H. Qi and L. Qi, "Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis," IEEE Trans. Neur. Networks, vol. 15, no. 1, pp. 99-109, Jan. 2004.
    • (2004) IEEE Trans. Neur. Networks , vol.15 , Issue.1 , pp. 99-109
    • Qi, H.1    Qi, L.2
  • 30
    • 0000997944 scopus 로고
    • "Hadamard theorem for locally Lipschitzian maps"
    • B.H. Pourciau, "Hadamard theorem for locally Lipschitzian maps," J. Math. Anal. Appl., vol. 85, pp. 279-285, 1982.
    • (1982) J. Math. Anal. Appl. , vol.85 , pp. 279-285
    • Pourciau, B.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.