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Volumn 21, Issue 1, 2010, Pages 91-106

Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay

Author keywords

Delay dependent stability; Recurrent neural networks (RNNs); Time varying delay; Weighting delay

Indexed keywords

DELAY DEPENDENT STABILITY CRITERION; DELAY PARAMETERS; DELAY-DEPENDENT STABILITY; OPTIMAL WEIGHTING; OPTIMIZATION METHOD; STABILITY MARGINS; STABILITY PROBLEM; SUBINTERVALS; TIME-VARYING DELAY;

EID: 73949132376     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2009.2034742     Document Type: Article
Times cited : (399)

References (37)
  • 1
    • 0024092072 scopus 로고
    • Cellular neural networks: Applications
    • Oct.
    • L. O. Chua and L. Yang, "Cellular neural networks: Applications," IEEE Trans. Circuits Syst., vol. CAS-35, no. 10, pp. 1273-1290, Oct. 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.CAS-35 , Issue.10 , pp. 1273-1290
    • Chua, L.O.1    Yang, L.2
  • 2
    • 0026913847 scopus 로고
    • Cellular neural networks with non-linear and delay-type template elements and non-uniform grids
    • T. Roska and L. O. Chua, "Cellular neural networks with non-linear and delay-type template elements and non-uniform grids," Int. J. Circuit Theory Appl., vol. 20, no. 5, pp. 469-481, 1992.
    • (1992) Int. J. Circuit Theory Appl. , vol.20 , Issue.5 , pp. 469-481
    • Roska, T.1    Chua, L.O.2
  • 3
    • 0033640635 scopus 로고    scopus 로고
    • Neurocomputing with time delay analysis for solving convex quadratic programming problems
    • Jan.
    • Y. H. Chen and S. C. Fang, "Neurocomputing with time delay analysis for solving convex quadratic programming problems," IEEE Trans. Neural Netw., vol. 11, no. 1, pp. 230-240, Jan. 2000.
    • (2000) IEEE Trans. Neural Netw. , vol.11 , Issue.1 , pp. 230-240
    • Chen, Y.H.1    Fang, S.C.2
  • 4
    • 2442472146 scopus 로고    scopus 로고
    • A general projection neural network for solving monotone variational inequalities and related optimization problems
    • Mar.
    • Y. Xia and J. Wang, "A general projection neural network for solving monotone variational inequalities and related optimization problems," IEEE Trans. Neural Netw., vol. 15, no. 2, pp. 318-328, Mar. 2004.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , Issue.2 , pp. 318-328
    • Xia, Y.1    Wang, J.2
  • 6
    • 0025465286 scopus 로고
    • A synthesis procedure for Hopfield's continuous-time associative memory
    • Jul.
    • J. A. Farrell and A. N. Michel, "A synthesis procedure for Hopfield's continuous-time associative memory," IEEE Trans. Circuits Syst., vol. 37, no. 7, pp. 877-884, Jul. 1990.
    • (1990) IEEE Trans. Circuits Syst. , vol.37 , Issue.7 , pp. 877-884
    • Farrell, J.A.1    Michel, A.N.2
  • 7
    • 0025522420 scopus 로고
    • Analysis and synthesis techniques for Hopfield type synchronous discrete-time neural networks with applications to associative memory
    • Nov.
    • A. N. Michel, J. A. Farrell, and H. F. Sun, "Analysis and synthesis techniques for Hopfield type synchronous discrete-time neural networks with applications to associative memory," IEEE Trans. Circuits Syst., vol. 37, no. 11, pp. 1356-1366, Nov. 1990.
    • (1990) IEEE Trans. Circuits Syst. , vol.37 , Issue.11 , pp. 1356-1366
    • Michel, A.N.1    Farrell, J.A.2    Sun, H.F.3
  • 8
    • 2142713119 scopus 로고    scopus 로고
    • Capacity of oscillatory associative-memory networks with error-free retrieval
    • Mar.
    • T. Nishikawa, Y. C. Lai, and F. C. Hoppensteadt, "Capacity of oscillatory associative-memory networks with error-free retrieval," Phys. Rev. Lett., vol. 92, no. 10, pp. 108-101, Mar. 2004.
    • (2004) Phys. Rev. Lett. , vol.92 , Issue.10 , pp. 108-115
    • Nishikawa, T.1    Lai, Y.C.2    Hoppensteadt, F.C.3
  • 9
    • 0029341843 scopus 로고
    • Emergent synchrony in locally coupled neural oscillators
    • Jul.
    • D. L. Wang, "Emergent synchrony in locally coupled neural oscillators," IEEE Trans. Neural Netw., vol. 6, no. 4, pp. 941-948, Jul. 1995.
    • (1995) IEEE Trans. Neural Netw. , vol.6 , Issue.4 , pp. 941-948
    • Wang, D.L.1
  • 10
    • 0031103562 scopus 로고    scopus 로고
    • Object recognition using multilayer Hopfield neural network
    • Mar.
    • S. S. Young, P. D. Scott, and N. M. Nasrabadi, "Object recognition using multilayer Hopfield neural network," IEEE Trans. Image Process., vol. 6, no. 3, pp. 357-372, Mar. 1997.
    • (1997) IEEE Trans. Image Process. , vol.6 , Issue.3 , pp. 357-372
    • Young, S.S.1    Scott, P.D.2    Nasrabadi, N.M.3
  • 11
    • 0000459678 scopus 로고    scopus 로고
    • Global stability for cellular neural networks with time delay
    • Nov.
    • T. Liao and F.Wang, "Global stability for cellular neural networks with time delay," IEEE Trans. Neural Netw., vol. 11, no. 6, pp. 1481-1484, Nov. 2000.
    • (2000) IEEE Trans. Neural Netw. , vol.11 , Issue.6 , pp. 1481-1484
    • Liao, T.1    Wang, F.2
  • 12
    • 0036737354 scopus 로고    scopus 로고
    • An analysis of global asymptotic stability of delayed neural networks
    • Sep.
    • S. Arik, "An analysis of global asymptotic stability of delayed neural networks," IEEE Trans. Neural Netw., vol. 13, no. 5, pp. 1239-1242, Sep. 2002.
    • (2002) IEEE Trans. Neural Netw. , vol.13 , Issue.5 , pp. 1239-1242
    • Arik, S.1
  • 13
    • 0242608076 scopus 로고    scopus 로고
    • Global asymptotic stability of a larger class of neural networks with constant time delay
    • S. Arik, "Global asymptotic stability of a larger class of neural networks with constant time delay," Phys. Lett. A, vol. 311, pp. 504-511, 2003.
    • (2003) Phys. Lett. A , vol.311 , pp. 504-511
    • Arik, S.1
  • 14
    • 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
  • 15
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a class of recurrent neural networks with time-varying delays
    • Jan.
    • J. Cao and J.Wang, "Global asymptotic stability of a class of recurrent neural networks with time-varying delays," IEEE Trans. Circuits Syst. I, Fund. Theory Appl., vol. 50, no. 1, pp. 34-44, Jan. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fund. Theory Appl. , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 16
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • DOI 10.1109/TCSI.2004.841574
    • J. Cao and J. Wang, "Global asymptotic stability 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. (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
  • 17
    • 20144369395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of recurrent neural networks with time delays
    • DOI 10.1109/TCSI.2005.846211
    • J. Cao and J. Wang, "Global exponential stability and periodicity of recurrent neural networks with time delays," IEEE Trans. Circuits Syst. I, Reg. Papers, 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
  • 18
    • 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
  • 19
    • 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
  • 20
    • 0036755232 scopus 로고    scopus 로고
    • Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach
    • DOI 10.1016/S0893-6080(02)00041-2, PII S0893608002000412
    • X. Liao, G. Chen, and E. Sanchez, "Delay-dependent exponential stability analysis of delay neural networks: An LMI approach," Neural Netw., vol. 15, pp. 855-866, 2002. (Pubitemid 35299581)
    • (2002) Neural Networks , vol.15 , Issue.7 , pp. 855-866
    • Liao, X.1    Chen, G.2    Sanchez, E.N.3
  • 21
    • 22244437256 scopus 로고    scopus 로고
    • Newglobal asymptotic stability criteria for delayed cellular neural networks
    • Jun.
    • S. Xu, J. Lam, D.Wu, and Y. Zou, "Newglobal asymptotic stability criteria for delayed cellular neural networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 6, pp. 349-353, Jun. 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.6 , pp. 349-353
    • Xu, S.1    Lam, J.2    Wu, D.3    Zou, Y.4
  • 22
    • 33644983182 scopus 로고    scopus 로고
    • New results on stability analysis of neural networks with time-varying delays
    • C. Hua, C. Long, and X. Guan, "New results on stability analysis of neural networks with time-varying delays," Phys. Lett. A, vol. 352, pp. 335-340, 2006.
    • (2006) Phys. Lett. A , vol.352 , pp. 335-340
    • Hua, C.1    Long, C.2    Guan, X.3
  • 23
    • 33845224523 scopus 로고    scopus 로고
    • Novel delay-dependent robust stability criterion of delayed cellular neural networks
    • H. Cho and J. Park, "Novel delay-dependent robust stability criterion of delayed cellular neural networks," Chaos Solitons Fractals, vol. 32, pp. 1194-1200, 2007.
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 1194-1200
    • Cho, H.1    Park, J.2
  • 24
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delay
    • DOI 10.1109/TCSII.2006.876385
    • Y. He, M. Wu, and J. She, "Delay-dependent exponential stability of delayed neural networks with time-varying delay," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 7, pp. 553-557, Jul. 2006. (Pubitemid 44111522)
    • (2006) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.53 , Issue.7 , pp. 553-557
    • He, Y.1    Wu, M.2    She, J.-H.3
  • 25
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with time-varying delay
    • Jan.
    • Y. He, G. 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.
    • (2007) IEEE Trans. Neural Netw. , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.2    Rees, D.3
  • 26
    • 38149066040 scopus 로고    scopus 로고
    • Stability Analysis for neural networks with time-varying interval delay
    • Nov.
    • Y. He, G. Liu, D. Rees, and M.Wu, "Stability Analysis for neural networks with time-varying interval delay," IEEE Trans. Neural Netw., vol. 18, no. 6, pp. 1850-1854, Nov. 2007.
    • (2007) IEEE Trans. Neural Netw. , vol.18 , Issue.6 , pp. 1850-1854
    • He, Y.1    Liu, G.2    Rees, D.3    Wu, M.4
  • 27
    • 34248351131 scopus 로고    scopus 로고
    • Robust stability of uncertain neutral systems: A novelaugmented Lyapunov functional approach
    • May
    • M. Parlakçi, "Robust stability of uncertain neutral systems: A novelaugmented Lyapunov functional approach," IET Control Theory Appl., vol. 1, no. 3, pp. 802-809, May 2007.
    • (2007) IET Control Theory Appl. , vol.1 , Issue.3 , pp. 802-809
    • Parlakçi, M.1
  • 28
    • 39049086696 scopus 로고    scopus 로고
    • Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
    • May
    • C. Peng and Y. Tian, "Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay," J. Comput. Appl. Math., vol. 214, no. 2, pp. 480-494, May 2008.
    • (2008) J. Comput. Appl. Math. , vol.214 , Issue.2 , pp. 480-494
    • Peng, C.1    Tian, Y.2
  • 29
    • 42549152358 scopus 로고    scopus 로고
    • Further results on delay-dependent stability criteria of neural networks with time-varying delays
    • DOI 10.1109/TNN.2007.914162
    • T. Li, L. Guo, C. Sun, and C. Lin, "Further result on delay-dependent stability criterion of neural networks with time-varying delays," IEEE Trans. Neural Netw., vol. 19, no. 4, pp. 726-730, Apr. 2008. (Pubitemid 351583586)
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.4 , pp. 726-730
    • Li, T.1    Guo, L.2    Sun, C.3    Lin, C.4
  • 30
    • 47249159953 scopus 로고    scopus 로고
    • Stability analysis of neutral systems with distributed delays
    • Aug.
    • X. G. Li and X. J. Zhu, "Stability analysis of neutral systems with distributed delays," Automatica, vol. 44, no. 8, pp. 2197-2201, Aug. 2008.
    • (2008) Automatica , vol.44 , Issue.8 , pp. 2197-2201
    • Li, X.G.1    Zhu, X.J.2
  • 31
    • 0036475458 scopus 로고    scopus 로고
    • A descriptor system approach to H∞ control of linear time-delay systems
    • DOI 10.1109/9.983353, PII S0018928602020640
    • E. Fridman and U. Shaked, "A descriptor system approach to H∞ control of linear time-delay systems," IEEE Trans. Autom. Control, vol. 47, no. 2, pp. 253-270, Feb. 2002. (Pubitemid 34291539)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.2 , pp. 253-270
    • Fridman, E.1    Shaked, U.2
  • 32
    • 40949160176 scopus 로고    scopus 로고
    • A new criterion of delaydependent asymptotic stability for Hopfield neural networks with time delay
    • Mar.
    • S. Mou, H. Gao, J. Lam, and W. Qiang, "A new criterion of delaydependent asymptotic stability for Hopfield neural networks with time delay," IEEE Trans. Neural Netw., vol. 19, no. 3, pp. 532-535, Mar. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.3 , pp. 532-535
    • Mou, S.1    Gao, H.2    Lam, J.3    Qiang, W.4
  • 34
    • 26644447990 scopus 로고    scopus 로고
    • Delayed standard neural network model and its application
    • in Chinese
    • M. Liu, "Delayed standard neural network model and its application," (in Chinese) ACTA Automatica Sinica, vol. 31, no. 5, pp. 750-758, 2005.
    • (2005) ACTA Automatica Sinica , vol.31 , Issue.5 , pp. 750-758
    • Liu, M.1
  • 36
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • J. A. Nelder and R. Mead, "A simplex method for function minimization," Comput. J., vol. 7, pp. 308-313, 1965.
    • (1965) Comput. J. , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 37
    • 34548532562 scopus 로고    scopus 로고
    • Stability and robust stability for systems with a time-varying delay
    • Oct.
    • P. Park and J. Ko, "Stability and robust stability for systems with a time-varying delay," Automatica, vol. 43, no. 10, pp. 1855-1858, Oct. 2007.
    • (2007) Automatica , vol.43 , Issue.10 , pp. 1855-1858
    • Park, P.1    Ko, J.2


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