메뉴 건너뛰기




Volumn 71, Issue 16-18, 2008, Pages 3582-3588

Global exponential stability of delayed BAM network on time scale

Author keywords

Bi directional associative memory; Global exponential stability; Liapunov functions; Neural network; Time scale calculus

Indexed keywords

ASSOCIATIVE PROCESSING; CALCULATIONS; CONTINUOUS TIME SYSTEMS; DATA STORAGE EQUIPMENT; DIFFERENTIATION (CALCULUS); IMAGE CLASSIFICATION; LYAPUNOV FUNCTIONS; MATHEMATICAL TECHNIQUES; TIME VARYING NETWORKS; VEGETATION;

EID: 56549128086     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2008.06.004     Document Type: Conference Paper
Times cited : (37)

References (27)
  • 1
    • 0036537766 scopus 로고    scopus 로고
    • Dynamic equations on time scales: A survey (special issue on dynamic equations on time scales, ed. by R.P. Agarwal, M. Bohner, D. O'Regan)
    • R.P. Agarwal, M. Bohner, D. O'Regan, A. Peterson, Dynamic equations on time scales: a survey (special issue on dynamic equations on time scales, ed. by R.P. Agarwal, M. Bohner, D. O'Regan), J. Comput. Appl. Math. 141 (1-2) (2002) 1-26.
    • (2002) J. Comput. Appl. Math. , vol.141 , Issue.1-2 , pp. 1-26
    • Agarwal, R.P.1    Bohner, M.2    O'Regan, D.3    Peterson, A.4
  • 4
    • 0037440581 scopus 로고    scopus 로고
    • Exponential stability of delayed bidirectional associative memory networks
    • J. Cao, and M. Dong Exponential stability of delayed bidirectional associative memory networks Appl. Math. Comput. 135 1 2003 105 112
    • (2003) Appl. Math. Comput. , vol.135 , Issue.1 , pp. 105-112
    • Cao, J.1    Dong, M.2
  • 5
    • 33846058657 scopus 로고    scopus 로고
    • LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay
    • J. Cao, D.W.C. Ho, and X. Huang LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay Nonlinear Anal. 66 2007 1558 1572
    • (2007) Nonlinear Anal. , vol.66 , pp. 1558-1572
    • Cao, J.1    Ho, D.W.C.2    Huang, X.3
  • 6
    • 33745352035 scopus 로고    scopus 로고
    • Stability in Cohen-Grossberg type BAM neural networks with time-varying delays
    • J. Cao, and Q. Song Stability in Cohen-Grossberg type BAM neural networks with time-varying delays Nonlinearity 19 7 2006 1601 1617
    • (2006) Nonlinearity , vol.19 , Issue.7 , pp. 1601-1617
    • Cao, J.1    Song, Q.2
  • 7
    • 0034136641 scopus 로고    scopus 로고
    • Periodic oscillatory solution of bidirectional associative memory networks
    • J. Cao, and L. Wang Periodic oscillatory solution of bidirectional associative memory networks Phys. Rev. E 61 2 2000 1825 1828
    • (2000) Phys. Rev. e , vol.61 , Issue.2 , pp. 1825-1828
    • Cao, J.1    Wang, L.2
  • 8
    • 0036506075 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory solution in BAM networks with delays
    • J. Cao, and L. Wang Exponential stability and periodic oscillatory solution in BAM networks with delays IEEE Trans. Neural Networks 13 2 2002 457 463
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.2 , pp. 457-463
    • Cao, J.1    Wang, L.2
  • 9
    • 33947173257 scopus 로고    scopus 로고
    • Periodic bi-directional Cohen-Grossberg neural networks with distributed delays
    • A. Chen, and J. Cao Periodic bi-directional Cohen-Grossberg neural networks with distributed delays Nonlinear Anal. 66 2007 2947 2961
    • (2007) Nonlinear Anal. , vol.66 , pp. 2947-2961
    • Chen, A.1    Cao, J.2
  • 10
    • 1542680900 scopus 로고    scopus 로고
    • Exponential stability of BAM neural networks with transmission delays
    • A. Chen, J. Cao, and L. Huang Exponential stability of BAM neural networks with transmission delays Neurocomputing 57 2004 435 454
    • (2004) Neurocomputing , vol.57 , pp. 435-454
    • Chen, A.1    Cao, J.2    Huang, L.3
  • 11
    • 0037431453 scopus 로고    scopus 로고
    • Existence and stability of almost periodic solution for BAM neural networks with delays
    • A. Chen, L. Huang, and J. Cao Existence and stability of almost periodic solution for BAM neural networks with delays Appl. Math. Comput. 137 1 2003 177 193
    • (2003) Appl. Math. Comput. , vol.137 , Issue.1 , pp. 177-193
    • Chen, A.1    Huang, L.2    Cao, J.3
  • 12
    • 34249091334 scopus 로고    scopus 로고
    • Exponential stability of delayed bidirectional associative memory neural networks with reaction diffusion terms
    • A. Chen, L. Huang, and J. Cao Exponential stability of delayed bidirectional associative memory neural networks with reaction diffusion terms Int. J. Syst. Sci. 38 5 2007 421 432
    • (2007) Int. J. Syst. Sci. , vol.38 , Issue.5 , pp. 421-432
    • Chen, A.1    Huang, L.2    Cao, J.3
  • 13
    • 0028542772 scopus 로고
    • Delay-independent stability in bi-directional associative memory networks
    • K. Gopalsamy, and X. He Delay-independent stability in bi-directional associative memory networks IEEE Trans. Neural Networks 5 1994 998 1002
    • (1994) IEEE Trans. Neural Networks , vol.5 , pp. 998-1002
    • Gopalsamy, K.1    He, X.2
  • 14
    • 84951604495 scopus 로고
    • Analysis on measure chains - A unified approach to continuous and discrete calculus
    • S. Hilger Analysis on measure chains - a unified approach to continuous and discrete calculus Results Math. 18 1990 18 56
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 15
    • 0001028781 scopus 로고    scopus 로고
    • Differential and difference calculus-unified
    • S. Hilger Differential and difference calculus-unified Nonlinear Anal. TMA 30 1997 2683 2694
    • (1997) Nonlinear Anal. TMA , vol.30 , pp. 2683-2694
    • Hilger, S.1
  • 16
    • 0023491172 scopus 로고
    • Adaptive bi-directional associative memories
    • B. Kosko Adaptive bi-directional associative memories Appl. Optim. 26 23 1987 4947 4960
    • (1987) Appl. Optim. , vol.26 , Issue.23 , pp. 4947-4960
    • Kosko, B.1
  • 17
    • 0023861743 scopus 로고
    • Bi-directional associative memories
    • B. Kosko Bi-directional associative memories IEEE Trans. Syst. Man Cybern. 18 1 1988 49 60
    • (1988) IEEE Trans. Syst. Man Cybern. , vol.18 , Issue.1 , pp. 49-60
    • Kosko, B.1
  • 19
    • 2442601691 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays
    • J. Liang, and J. Cao Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays Chaos Solitons Fractals 22 2004 773 785
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 773-785
    • Liang, J.1    Cao, J.2
  • 20
    • 12544259222 scopus 로고    scopus 로고
    • Discrete-time bidirectional associative memory neural networks with variable delays
    • J. Liang, J. Cao, and D.W.C. Ho Discrete-time bidirectional associative memory neural networks with variable delays Phys. Lett. A 335 2005 226 234
    • (2005) Phys. Lett. a , vol.335 , pp. 226-234
    • Liang, J.1    Cao, J.2    Ho, D.W.C.3
  • 21
    • 0032069555 scopus 로고    scopus 로고
    • Qualitative analysis of bi-directional associative memory with time delay
    • X.F. Liao, and J.B. Yu Qualitative analysis of bi-directional associative memory with time delay Int. J. Circuit Theory Appl. 26 3 1998 219 229
    • (1998) Int. J. Circuit Theory Appl. , vol.26 , Issue.3 , pp. 219-229
    • Liao, X.F.1    Yu, J.B.2
  • 22
    • 0000185023 scopus 로고    scopus 로고
    • Neural networks of bi-directional associative memory with axonal signal transmission delays
    • X.F. Liao, G.Y. Liu, and J.B. Yu Neural networks of bi-directional associative memory with axonal signal transmission delays J. Electron. 19 4 1997 439 444 (in Chinese)
    • (1997) J. Electron. , vol.19 , Issue.4 , pp. 439-444
    • Liao, X.F.1    Liu, G.Y.2    Yu, J.B.3
  • 23
    • 17744394898 scopus 로고    scopus 로고
    • Corresponding Banach spaces on time scales
    • A. Ruffing, and M. Simon Corresponding Banach spaces on time scales J. Comput. Appl. Math. 179 2005 313 326
    • (2005) J. Comput. Appl. Math. , vol.179 , pp. 313-326
    • Ruffing, A.1    Simon, M.2
  • 24
    • 34047260556 scopus 로고    scopus 로고
    • An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays
    • Q. Song, and Z. Wang An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays Nonlinear Anal. Real World Appl. 8 4 2007 1224 1234
    • (2007) Nonlinear Anal. Real World Appl. , vol.8 , Issue.4 , pp. 1224-1234
    • Song, Q.1    Wang, Z.2
  • 25
    • 0000506818 scopus 로고    scopus 로고
    • Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones
    • V. Sree Hari Rao, and Bh.R.M. Phaneendra Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones Neural Networks 12 3 1999 455 465
    • (1999) Neural Networks , vol.12 , Issue.3 , pp. 455-465
    • Sree Hari Rao, V.1    Phaneendra, B..R.M.2
  • 26
    • 33747344762 scopus 로고    scopus 로고
    • New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays
    • Y.H. Xia, J. Cao, and M.R. Lin New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays Chaos Solitons Fractals 31 2007 928 936
    • (2007) Chaos Solitons Fractals , vol.31 , pp. 928-936
    • Xia, Y.H.1    Cao, J.2    Lin, M.R.3
  • 27
    • 0037071084 scopus 로고    scopus 로고
    • Global stability of bi-directional associative memory neural networks with distributed delays
    • H.Y. Zhao Global stability of bi-directional associative memory neural networks with distributed delays Phys. Lett. A 297 3-4 2002 182 190
    • (2002) Phys. Lett. a , vol.297 , Issue.3-4 , pp. 182-190
    • Zhao, H.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.