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Volumn 204, Issue 2, 2008, Pages 680-686

Global asymptotic stability of stochastic recurrent neural networks with multiple discrete delays and unbounded distributed delays

Author keywords

Global asymptotic stability; Linear matrix inequality; Lyapunov Krasovskii functional; Multiple time varying delays; Stochastic recurrent neural networks; Unbounded distributed delays

Indexed keywords

ARTIFICIAL INTELLIGENCE; ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATLAB; MATRIX ALGEBRA; NETWORK PROTOCOLS; NEURAL NETWORKS; REINFORCEMENT LEARNING; SENSOR NETWORKS; STOCHASTIC PROGRAMMING; TIME VARYING NETWORKS; UNCERTAIN SYSTEMS;

EID: 53449094012     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.05.001     Document Type: Article
Times cited : (50)

References (25)
  • 1
    • 0035400754 scopus 로고    scopus 로고
    • Stability of stochastic delay neural networks
    • Blythe S., Mao X., and Liao X. Stability of stochastic delay neural networks. J. Franklin Inst. 338 (2001) 481-495
    • (2001) J. Franklin Inst. , vol.338 , pp. 481-495
    • Blythe, S.1    Mao, X.2    Liao, X.3
  • 3
    • 0037467691 scopus 로고    scopus 로고
    • New results concerning exponential stability and periodic solutions of delayed cellular neural networks
    • Cao J. New results concerning exponential stability and periodic solutions of delayed cellular neural networks. Phys. Lett. A 307 (2003) 136-147
    • (2003) Phys. Lett. A , vol.307 , pp. 136-147
    • Cao, J.1
  • 4
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Cao J., and Wang J. Global asymptotic stability of a general class of recurrent neural networks with time-varying delays. IEEE Trans. Circ. Syst. I 50 (2003) 34-44
    • (2003) IEEE Trans. Circ. Syst. I , vol.50 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 5
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • Cao J., and Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans. Circ. Syst. I 52 (2005) 417-426
    • (2005) IEEE Trans. Circ. Syst. I , vol.52 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 6
    • 33947139816 scopus 로고    scopus 로고
    • Global asymptotic stability of recurrent neural networks with multiple discrete delays and distributed delays
    • Cao J., Yuan K., and Li H. Global asymptotic stability of recurrent neural networks with multiple discrete delays and distributed delays. IEEE Trans. Neural Networks 17 (2006) 1646-1651
    • (2006) IEEE Trans. Neural Networks , vol.17 , pp. 1646-1651
    • Cao, J.1    Yuan, K.2    Li, H.3
  • 7
    • 17044430183 scopus 로고    scopus 로고
    • Dynamical behaviors of a large class of general delayed neural networks
    • Chen T., Lu W., and Chen G. Dynamical behaviors of a large class of general delayed neural networks. Neural Comput. 17 (2005) 949-968
    • (2005) Neural Comput. , vol.17 , pp. 949-968
    • Chen, T.1    Lu, W.2    Chen, G.3
  • 8
    • 0024092072 scopus 로고
    • Cellular neural networks: theory and applications
    • Chua L.O., and Yang L. Cellular neural networks: theory and applications. IEEE Trans. Circ. Syst. I 35 (1988) 1257-1290
    • (1988) IEEE Trans. Circ. Syst. I , vol.35 , pp. 1257-1290
    • Chua, L.O.1    Yang, L.2
  • 9
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competetive neural networks
    • Cohen M.A., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competetive neural networks. IEEE Trans. Syst. Man Cybern. 13 (1983) 815-826
    • (1983) IEEE Trans. Syst. Man Cybern. , vol.13 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 10
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-stage neurons
    • Hopfield J.J. Neurons with graded response have collective computational properties like those of two-stage neurons. Proc. Natl. Acad. Sci. USA 81 (1984) 3088-3092
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 11
    • 24344490262 scopus 로고    scopus 로고
    • Exponential stability analysis of stochastic delayed cellular neural network
    • Hu J., Zhong S., and Liang L. Exponential stability analysis of stochastic delayed cellular neural network. Chaos Solitons Fract. 27 (2006) 1006-1010
    • (2006) Chaos Solitons Fract. , vol.27 , pp. 1006-1010
    • Hu, J.1    Zhong, S.2    Liang, L.3
  • 12
    • 53449101743 scopus 로고    scopus 로고
    • H. Huang, J. Cao, Exponential stability analysis of uncertain stochastic neural networks with multiple delays, Nonlinear Anal.: Real World Appl., in press.
    • H. Huang, J. Cao, Exponential stability analysis of uncertain stochastic neural networks with multiple delays, Nonlinear Anal.: Real World Appl., in press.
  • 13
    • 20444396501 scopus 로고    scopus 로고
    • Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays
    • Huang H., Ho D.W.C., and Lam J. Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays. IEEE Trans. Circ. Syst. II 52 (2005) 251-255
    • (2005) IEEE Trans. Circ. Syst. II , vol.52 , pp. 251-255
    • Huang, H.1    Ho, D.W.C.2    Lam, J.3
  • 14
    • 0023491172 scopus 로고
    • Adaptive bidirectional associative memories
    • Kosko B. Adaptive bidirectional associative memories. Appl. Opt. 26 (1987) 4947-4960
    • (1987) Appl. Opt. , vol.26 , pp. 4947-4960
    • Kosko, B.1
  • 15
    • 21344469870 scopus 로고    scopus 로고
    • Exponential stability and instability of stochastic neural networks
    • Liao X.X., and Mao X. Exponential stability and instability of stochastic neural networks. Stochast. Anal. Appl. 14 (1996) 165-185
    • (1996) Stochast. Anal. Appl. , vol.14 , pp. 165-185
    • Liao, X.X.1    Mao, X.2
  • 16
    • 34248513543 scopus 로고    scopus 로고
    • Stability criteria for periodic neural networks with discrete and distributed delays
    • Liu Y., Wang Z., and Liu X. Stability criteria for periodic neural networks with discrete and distributed delays. Nonlinear Dyn. 49 (2007) 93-103
    • (2007) Nonlinear Dyn. , vol.49 , pp. 93-103
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 17
    • 33947384097 scopus 로고    scopus 로고
    • Design of exponential state estimators for neural networks with mixed time delays
    • Liu Y., Wang Z., and Liu X. Design of exponential state estimators for neural networks with mixed time delays. Phys. Lett. A 364 (2007) 401-412
    • (2007) Phys. Lett. A , vol.364 , pp. 401-412
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 18
    • 21744450109 scopus 로고    scopus 로고
    • Mean square exponential stability of stochastic delayed Hopfield neural networks
    • Wan L., and Sun J. Mean square exponential stability of stochastic delayed Hopfield neural networks. Phys. Lett. A 343 (2005) 306-318
    • (2005) Phys. Lett. A , vol.343 , pp. 306-318
    • Wan, L.1    Sun, J.2
  • 19
    • 33748523502 scopus 로고    scopus 로고
    • Exponential stability of uncertain stochastic neural networks with mixed time-delays
    • Wang Z., Lauria S., Fang J., and Liu X. Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos Solitons Fract. 32 (2007) 62-72
    • (2007) Chaos Solitons Fract. , vol.32 , pp. 62-72
    • Wang, Z.1    Lauria, S.2    Fang, J.3    Liu, X.4
  • 20
    • 24344504017 scopus 로고    scopus 로고
    • On global asymptotic stability of neural networks with discrete and distributed delays
    • Wang Z., Liu Y., and Liu X. On global asymptotic stability of neural networks with discrete and distributed delays. Phys. Lett. A 345 (2005) 299-308
    • (2005) Phys. Lett. A , vol.345 , pp. 299-308
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 21
    • 33646371219 scopus 로고    scopus 로고
    • Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays
    • Wang Z., Liu Y., Fraser K., and Liu X. Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays. Phys. Lett. A 354 (2006) 288-297
    • (2006) Phys. Lett. A , vol.354 , pp. 288-297
    • Wang, Z.1    Liu, Y.2    Fraser, K.3    Liu, X.4
  • 22
    • 33646499073 scopus 로고    scopus 로고
    • Robust stability analysis of generalised neural networks with discrete and distributed time delays
    • Wang Z., Shu H., Liu Y., Ho D.W.C., and Liu X. Robust stability analysis of generalised neural networks with discrete and distributed time delays. Chaos Solitons Fract. 30 (2006) 886-896
    • (2006) Chaos Solitons Fract. , vol.30 , pp. 886-896
    • Wang, Z.1    Shu, H.2    Liu, Y.3    Ho, D.W.C.4    Liu, X.5
  • 23
    • 33745158646 scopus 로고    scopus 로고
    • Robust stability for stochastic Hopfield neural networks with time delays
    • Wang Z., Shu H., Fang J., and Liu X. Robust stability for stochastic Hopfield neural networks with time delays. Nonlinear Anal.: Real World Appl. 7 (2006) 1119-1128
    • (2006) Nonlinear Anal.: Real World Appl. , vol.7 , pp. 1119-1128
    • Wang, Z.1    Shu, H.2    Fang, J.3    Liu, X.4
  • 24
    • 34147170423 scopus 로고    scopus 로고
    • LMI conditions for stability of neural networks with distributed delays
    • Yang H., and Chu T. LMI conditions for stability of neural networks with distributed delays. Chaos Solitons Fract. 34 (2007) 557-563
    • (2007) Chaos Solitons Fract. , vol.34 , pp. 557-563
    • Yang, H.1    Chu, T.2
  • 25
    • 53449091637 scopus 로고    scopus 로고
    • Q. Zhang, X. Wei, J. Xu, Global exponential stability for nonautonomous cellular neural networks with unbounded delays, Chaos Solitons Fract., in press.
    • Q. Zhang, X. Wei, J. Xu, Global exponential stability for nonautonomous cellular neural networks with unbounded delays, Chaos Solitons Fract., in press.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.