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Volumn 22, Issue 12 PART 1, 2011, Pages 2138-2143

Delay-slope-dependent stability results of recurrent neural networks

Author keywords

Asymptotic stability; delay slope dependent; recurrent neural networks

Indexed keywords

COMPUTATIONAL BURDEN; DELAY DEPENDENT STABILITY CRITERION; DELAY-SLOPE-DEPENDENT; LYAPUNOV-KRASOVSKII FUNCTIONALS; MATRIX; NEURON ACTIVATION FUNCTION; NUMERICAL EXAMPLE; STABILITY ANALYSIS; STABILITY RESULTS; TIME-VARYING DELAY;

EID: 83855160856     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2011.2169425     Document Type: Article
Times cited : (112)

References (30)
  • 2
    • 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
  • 3
    • 0036737354 scopus 로고    scopus 로고
    • An analysis of global asymptotic stability of delayed neural networks
    • Oct.
    • S. Arik, "An analysis of global asymptotic stability of delayed neural networks," IEEE Trans. Neural Netw., vol. 13, no. 5, pp. 1239-1242, Oct. 2002.
    • (2002) IEEE Trans. Neural Netw. , vol.13 , Issue.5 , pp. 1239-1242
    • Arik, S.1
  • 4
    • 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. Neural Netw., vol. 15, no. 1, pp. 223-225, Jan. 2004.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , Issue.1 , pp. 223-225
    • Singh, V.1
  • 5
    • 15944407968 scopus 로고    scopus 로고
    • Global stability of a class of neural networks with time-varying delay
    • DOI 10.1109/TCSII.2004.842050
    • T. Ensari and S. Arik, "Global stability of class of neural networks with time varying delays," IEEE Trans. Circuits Syst. II, vol. 52, no. 3, pp. 126-130, Mar. 2005. (Pubitemid 40429271)
    • (2005) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.52 , Issue.3 , pp. 126-130
    • Ensari, T.1    Arik, S.2
  • 6
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • DOI 10.1109/TCSI.2004.841574
    • J. D. Cao and J. Wang, "Global asymptotic stability and robust stability of recurrent neural networks with time delays," IEEE Trans. Circuits Syst. I, vol. 52, no. 2, pp. 417-426, Feb. 2005. (Pubitemid 40319475)
    • (2005) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.52 , Issue.2 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 7
    • 20144369395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of recurrent neural networks with time delays
    • DOI 10.1109/TCSI.2005.846211
    • J. D. Cao and J. Wang, "Global exponential stability and periodicity of recurrent neural networks with time delays," IEEE Trans. Circuits Syst. I, vol. 52, no. 5, pp. 920-931, May 2005. (Pubitemid 40773619)
    • (2005) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.52 , Issue.5 , pp. 920-931
    • Cao, J.1    Wang, J.2
  • 8
    • 44349110244 scopus 로고    scopus 로고
    • Global asymptotic stability of recurrent neural networks with multiple time-varying delays
    • DOI 10.1109/TNN.2007.912319
    • H. Zhang, Z. Wang, and D. Liu, "Global asymptotic stability of recurrent neural networks with multiple time-varying delays," IEEE Trans. Neural Netw., vol. 19, no. 5, pp. 855-873, May 2008. (Pubitemid 351728821)
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.5 , pp. 855-873
    • Zhang, H.1    Wang, Z.2    Liu, D.3
  • 9
    • 34248655704 scopus 로고    scopus 로고
    • Global asymptotic stability of delayed cellular neural networks
    • DOI 10.1109/TNN.2007.891628
    • H. Zhang and Z. Wang, "Global asymptotic stability of delayed cellular neural networks," IEEE Trans. Neural Netw., vol. 18, no. 3, pp. 947-950, May 2007. (Pubitemid 46773762)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.3 , pp. 947-950
    • Zhang, H.1    Wang, Z.2
  • 10
    • 24344504017 scopus 로고    scopus 로고
    • On global asymptotic stability of neural networks with discrete and distributed delays
    • DOI 10.1016/j.physleta.2005.07.025, PII S0375960105011096
    • Z. Wang, Y. Liu, and X. Liu, "On global asymptotic stability of neural networks with discrete and distributed delays," Phys. Lett. A, vol. 345, nos. 4-6, pp. 299-308, Oct. 2005. (Pubitemid 41262382)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.345 , Issue.4-6 , pp. 299-308
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 11
    • 33646512597 scopus 로고    scopus 로고
    • Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
    • May
    • Z. Wang, Y. Liu, M. Li, and X. Liu, "Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays," IEEE Trans. Neural Netw., vol. 17, no. 3, pp. 814-820, May 2006.
    • (2006) IEEE Trans. Neural Netw. , vol.17 , Issue.3 , pp. 814-820
    • Wang, Z.1    Liu, Y.2    Li, M.3    Liu, X.4
  • 12
    • 22244437256 scopus 로고    scopus 로고
    • Novel global asymptotic stability criteria for delayed cellular neural networks
    • DOI 10.1109/TCSII.2005.849000
    • S. Xu, J. Lam, D. W. C. Ho, and Y. Zou, "Novel global asymptotic stability criteria for delayed cellular neural networks," IEEE Trans. Circuits Syst. II, vol. 52, no. 6, pp. 349-353, Jun. 2005. (Pubitemid 40986454)
    • (2005) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.52 , Issue.6 , pp. 349-353
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4
  • 13
    • 33845224523 scopus 로고    scopus 로고
    • Novel delay-dependent robust stability criterion of delayed cellular neural networks
    • DOI 10.1016/j.chaos.2005.11.040, PII S096007790501146X
    • H. J. Cho and J. H. Park, "Novel delay-dependent robust stability criterion of delayed cellular neural networks," Chaos, Solitons, Fractals, vol. 32, no. 3, pp. 1194-1200, May 2007. (Pubitemid 44855571)
    • (2007) Chaos, Solitons and Fractals , vol.32 , Issue.3 , pp. 1194-1200
    • Cho, H.J.1    Park, J.H.2
  • 14
    • 33644983182 scopus 로고    scopus 로고
    • New results on stability analysis of neural networks with time-varying delays
    • Apr.
    • C. C. Hua, C. N. Long, and X. P. Guan, "New results on stability analysis of neural networks with time-varying delays," Phys. Lett. A, vol. 352, nos. 4-5, pp. 335-340, Apr. 2006.
    • (2006) Phys. Lett. A , vol.352 , Issue.4-5 , pp. 335-340
    • Hua, C.C.1    Long, C.N.2    Guan, X.P.3
  • 15
    • 27744606163 scopus 로고    scopus 로고
    • LMI-based stability criteria for neural networks with multiple time-varying delays
    • DOI 10.1016/j.physd.2005.09.013, PII S0167278905004082
    • Y. He, Q. G. Wang, and M. Wu, "LMI-based stability criteria for neural networks with multiple time-varying delays," Phys. D, vol. 212, nos. 1-2, pp. 126-136, Dec. 2005. (Pubitemid 41617928)
    • (2005) Physica D: Nonlinear Phenomena , vol.212 , Issue.1-2 , pp. 126-136
    • He, Y.1    Wang, Q.-G.2    Wu, M.3
  • 16
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with yime-varying delay
    • DOI 10.1109/TNN.2006.888373
    • Y. He, G. P. Liu, and D. Rees, "New delay-dependent stability criteria for neural networks with time-varying delay," IEEE Trans. Neural Netw., vol. 18, no. 1, pp. 310-314, Jan. 2007. (Pubitemid 46062938)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.2    Rees, D.3
  • 17
    • 57749083143 scopus 로고    scopus 로고
    • Improved delay-dependent asymptotic stability criteria for delayed neural networks
    • Dec.
    • W. H. Chen and W. X. Zheng, "Improved delay-dependent asymptotic stability criteria for delayed neural networks," IEEE Trans. Neural Netw., vol. 19, no. 12, pp. 2154-2161, Dec. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.12 , pp. 2154-2161
    • Chen, W.H.1    Zheng, W.X.2
  • 18
    • 34047141013 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of neural networks with variable delay: An LMI approach
    • DOI 10.1109/TCSII.2006.881824
    • W. H. Chen, X. Lu, Z. H. Guan, and W. X. Zheng, "Delay-dependent exponential stability of neural networks with variable delay: An LMI approach," IEEE Trans. Circuits Syst. II, vol. 53, no. 9, pp. 837-842, Sep. 2006. (Pubitemid 46511462)
    • (2006) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.53 , Issue.9 , pp. 837-842
    • Chen, W.-H.1    Lu, X.2    Guan, Z.-H.3    Zheng, W.X.4
  • 19
    • 33947384097 scopus 로고    scopus 로고
    • Design of exponential state estimators for neural networks with mixed time delays
    • May
    • Y. R. Liu, Z. Wang, and X. H. Liu, "Design of exponential state estimators for neural networks with mixed time delays," Phys. Lett. A, vol. 364, no. 5, pp. 401-412, May 2007.
    • (2007) Phys. Lett. A , vol.364 , Issue.5 , pp. 401-412
    • Liu, Y.R.1    Wang, Z.2    Liu, X.H.3
  • 20
    • 57949107215 scopus 로고    scopus 로고
    • Stability criteria with less LMI variables for neural networks with time-varying delay
    • Nov.
    • T. Li, L. Guo, and C. Lin, "Stability criteria with less LMI variables for neural networks with time-varying delay," IEEE Trans. Circuits Syst. II, vol. 55, no. 11, pp. 1188-1192, Nov. 2008.
    • (2008) IEEE Trans. Circuits Syst. II , vol.55 , Issue.11 , pp. 1188-1192
    • Li, T.1    Guo, L.2    Lin, C.3
  • 21
    • 75749089550 scopus 로고    scopus 로고
    • Improved stability criteria of neural networks with time-varying delays: An augmented LKF approach
    • Jan.
    • T. Li and X. L. Ye, "Improved stability criteria of neural networks with time-varying delays: An augmented LKF approach," Neurocomputing, vol. 73, nos. 4-6, pp. 1038-1047, Jan. 2010.
    • (2010) Neurocomputing , vol.73 , Issue.4-6 , pp. 1038-1047
    • Li, T.1    Ye, X.L.2
  • 22
    • 54349113024 scopus 로고    scopus 로고
    • New delay-dependent stability results for neural networks with time-varying delay
    • Oct.
    • X. L. Zhu and G. H. Yang, "New delay-dependent stability results for neural networks with time-varying delay," IEEE Trans. Neural Netw., vol. 19, no. 10, pp. 1783-1791, Oct. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.10 , pp. 1783-1791
    • Zhu, X.L.1    Yang, G.H.2
  • 23
    • 73949132376 scopus 로고    scopus 로고
    • Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay
    • Jan.
    • H. Zhang, Z. W. Liu, G. B. Huang, and Z. S. Wang, "Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay," IEEE Trans. Neural Netw., vol. 21, no. 1, pp. 91-106, Jan. 2010.
    • (2010) IEEE Trans. Neural Netw. , vol.21 , Issue.1 , pp. 91-106
    • Zhang, H.1    Liu, Z.W.2    Huang, G.B.3    Wang, Z.S.4
  • 24
    • 0027224451 scopus 로고
    • Capacity of associative memory using a nonmonotonic neuron model
    • DOI 10.1016/0893-6080(93)90014-N
    • S. Yoshizawa, M. Morita, and S. I. Amari, "Capacity of associative memory using a nonmonotonic neural model," Neural Netw., vol. 6, no. 2, pp. 167-176, 1993. (Pubitemid 23622316)
    • (1993) Neural Networks , vol.6 , Issue.2 , pp. 167-176
    • Yoshizawa Shuji1    Morita Masahiko2    Amari Shun-ichi3
  • 25
    • 43949155364 scopus 로고
    • On global asymptotic stability of a class of nonlinear systems arising in neural network theory
    • M. Forti, "On global asymptotic stability of a class of nonlinear systems arising in neural network theory," J. Different. Equat., vol. 113, no. 1, pp. 246-264, 1994.
    • (1994) J. Different. Equat. , vol.113 , Issue.1 , pp. 246-264
    • Forti, M.1
  • 26
    • 0029345226 scopus 로고
    • New conditions for global stability of neural networks with application to linear and quadratic programming problems
    • Jul.
    • M. Forti and A. Tesi, "New conditions for global stability of neural networks with application to linear and quadratic programming problems," IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 42, no. 7, pp. 354-366, Jul. 1995.
    • (1995) IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. , vol.42 , Issue.7 , pp. 354-366
    • Forti, M.1    Tesi, A.2
  • 27
    • 0000005113 scopus 로고    scopus 로고
    • Relating the slope of the activation function and the learning rate within a recurrent neural network
    • Jul.
    • D. P. Mandic and J. A. Chambers, "Relating the slope of the activation function and the learning rate within a recurrent neural network," Neural Comput., vol. 11, no. 5, pp. 1069-1077, Jul. 1999.
    • (1999) Neural Comput. , vol.11 , Issue.5 , pp. 1069-1077
    • Mandic, D.P.1    Chambers, J.A.2
  • 28
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • J. J. Hopfield, "Neurons with graded response have collective computational properties like those of two state neurons," Proc. Nat. Acad. Sci. United States Amer., vol. 81, no. 10, pp. 3088-3092, May 1984. (Pubitemid 14109528)
    • (1984) Proceedings of the National Academy of Sciences of the United States of America , vol.81 , Issue.10 , pp. 3088-3092
    • Hopfield, J.J.1
  • 29
    • 49149107055 scopus 로고    scopus 로고
    • Absolute exponential stability of recurrent neural networks with generalized activation function
    • Jun.
    • J. Xu, Y. Cao, Y. Sun, and J. Tang, "Absolute exponential stability of recurrent neural networks with generalized activation function," IEEE Trans. Neural Netw., vol. 19, no. 6, pp. 1075-1089, Jun. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.6 , pp. 1075-1089
    • Xu, J.1    Cao, Y.2    Sun, Y.3    Tang, J.4
  • 30
    • 0037396258 scopus 로고    scopus 로고
    • Stability of systems with several monotone nonlin-earities
    • Apr.
    • N. E. Barabanov, "Stability of systems with several monotone nonlin-earities," IEEE Trans. Autom. Control, vol. 48, no. 4, pp. 665-670, Apr. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.4 , pp. 665-670
    • Barabanov, N.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.