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Volumn 41, Issue 2, 2011, Pages 486-496

Novel exponential stability criteria of high-order neural networks with time-varying delays

Author keywords

Free weighting matrix method; global exponential stability; high order neural networks; linear matrix inequality (LMI)

Indexed keywords

DELAY INDEPENDENT; DELAY-DEPENDENT; EQUILIBRIUM POINT; EXPONENTIAL STABILITY; FREE-WEIGHTING MATRIX METHOD; GLOBAL EXPONENTIAL STABILITY; HIGH-ORDER; HIGH-ORDER NEURAL NETWORK; HIGH-ORDER NEURAL NETWORKS; HOPFIELD TYPE NEURAL NETWORKS; LINEAR MATRIX INEQUALITY (LMI); LINEAR MATRIX INEQUALITY APPROACH; LYAPUNOV STABILITY THEORY; NUMERICAL EXAMPLE; SUFFICIENT CONDITIONS; TIME-VARYING DELAY;

EID: 79952900629     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2010.2059010     Document Type: Article
Times cited : (40)

References (32)
  • 2
    • 10644236158 scopus 로고    scopus 로고
    • Exponential stability of high-order bidirectional associative memory neural networks with time delays
    • Dec.
    • J. Cao, J. Liang, and J. Lam, "Exponential stability of high-order bidirectional associative memory neural networks with time delays," Phys. D, vol. 330, no. 3/4, pp. 425-436, Dec. 2004.
    • (2004) Phys. D , vol.330 , Issue.3-4 , pp. 425-436
    • Cao, J.1    Liang, J.2    Lam, J.3
  • 3
    • 38149066040 scopus 로고    scopus 로고
    • Stability analysis for neural networks with time-varying interval delay
    • Nov.
    • Y. He, G. P. 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.P.2    Rees, D.3    Wu, M.4
  • 4
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • Apr.
    • J. J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities," Proc. Nat. Acad. Sci., vol. 79, no. 8, pp. 2554-2558, Apr. 1982.
    • (1982) Proc. Nat. Acad. Sci. , vol.79 , Issue.8 , pp. 2554-2558
    • Hopfield, J.J.1
  • 6
    • 34249290385 scopus 로고    scopus 로고
    • Exponential p-stability of second order Cohen-Grossberg neural networks with transmission delays and learning behavior
    • DOI 10.1016/j.simpat.2006.12.003, PII S1569190X06001134
    • Z. Huang and Y. Xia, "Exponential p-stability of second order Cohen-Grossberg neural networks with transmission delays and learning behavior," Simul. Model. Pract. Theory, vol. 15, no. 6, pp. 622-634, Jul. 2007. (Pubitemid 46819190)
    • (2007) Simulation Modelling Practice and Theory , vol.15 , Issue.6 , pp. 622-634
    • Huang, Z.1    Xia, Y.2
  • 7
    • 44849117844 scopus 로고    scopus 로고
    • Global exponential stability for uncertain delayed neural networks of neutral type with mixed time delays
    • Jun.
    • C. H. Lien, K. W. Yu, Y. F. Lin, Y. J. Chung, and L. Y. Chung, "Global exponential stability for uncertain delayed neural networks of neutral type with mixed time delays," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 3, pp. 709-720, Jun. 2008.
    • (2008) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.38 , Issue.3 , pp. 709-720
    • Lien, C.H.1    Yu, K.W.2    Lin, Y.F.3    Chung, Y.J.4    Chung, L.Y.5
  • 8
    • 28244432161 scopus 로고    scopus 로고
    • Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays
    • DOI 10.1109/TNN.2005.857949
    • X. Liu, K. L. Teo, and B. Xu, "Exponential stability of impulsive highorder Hopfield-type neural networks with time-varying delays," IEEE Trans. Neural Netw., vol. 16, no. 11, pp. 1329-1339, Nov. 2005. (Pubitemid 41709634)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.6 , pp. 1329-1339
    • Liu, X.1    Teo, K.L.2    Xu, B.3
  • 9
    • 33846896705 scopus 로고    scopus 로고
    • Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
    • Jun.
    • X. Y. Lou and B. T. Cui, "Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays," J. Math. Anal. Appl., vol. 330, no. 1, pp. 144-158, Jun. 2007.
    • (2007) J. Math. Anal. Appl. , vol.330 , Issue.1 , pp. 144-158
    • Lou, X.Y.1    Cui, B.T.2
  • 10
    • 51749083284 scopus 로고    scopus 로고
    • Global exponential stability of high order recurrent neural network with time-varying delays
    • Jan.
    • F. Qiu, B. Cui, and W. Wu, "Global exponential stability of high order recurrent neural network with time-varying delays," Appl. Math. Model., vol. 33, no. 1, pp. 198-210, Jan. 2009.
    • (2009) Appl. Math. Model. , vol.33 , Issue.1 , pp. 198-210
    • Qiu, F.1    Cui, B.2    Wu, W.3
  • 11
    • 33745126296 scopus 로고    scopus 로고
    • LMI-based criteria for stability of high-order neural networks with time-varying delay
    • DOI 10.1016/j.nonrwa.2005.09.001, PII S1468121805001288
    • F. Ren and J. Cao, "LMI-based criteria for stability of high-order neural networks with time-varying delay," Nonlinear Anal. Real World Appl., vol. 7, no. 5, pp. 967-979, Dec. 2006. (Pubitemid 43903674)
    • (2006) Nonlinear Analysis: Real World Applications , vol.7 , Issue.5 , pp. 967-979
    • Ren, F.1    Cao, J.2
  • 12
    • 77954177357 scopus 로고    scopus 로고
    • Design of controller on synchronization of chaotic neural networks with mixed time-varying delays
    • Aug.
    • Q. Song, "Design of controller on synchronization of chaotic neural networks with mixed time-varying delays," Neurocomputing, vol. 72, no. 13-15, pp. 3288-3295, Aug. 2009.
    • (2009) Neurocomputing , vol.72 , Issue.13-15 , pp. 3288-3295
    • Song, Q.1
  • 13
    • 40949087195 scopus 로고    scopus 로고
    • Neural networks with discrete and distributed time-varying delays: A general stability analysis
    • DOI 10.1016/j.chaos.2006.10.044, PII S096007790601023X
    • Q. Song and Z. Wang, "Neural networks with discrete and distributed time-varying delays: A general stability analysis," Chaos Solitons Fractals, vol. 37, no. 5, pp. 1538-1547, Sep. 2008. (Pubitemid 351418167)
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.5 , pp. 1538-1547
    • Song, Q.1    Wang, Z.2
  • 14
    • 56449106923 scopus 로고    scopus 로고
    • Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach
    • Aug.
    • Q. Song, "Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach," Neurocomputing, vol. 71, no. 13-15, pp. 2823-2830, Aug. 2008.
    • (2008) Neurocomputing , vol.71 , Issue.13-15 , pp. 2823-2830
    • Song, Q.1
  • 15
    • 60549097701 scopus 로고    scopus 로고
    • Global exponential stability analysis of bidirectional associative memory neural networks with time-varying delays
    • Jun.
    • Y. Wang, "Global exponential stability analysis of bidirectional associative memory neural networks with time-varying delays," Nonlinear Anal. Real World Appl., vol. 10, no. 3, pp. 1527-1539, Jun. 2009.
    • (2009) Nonlinear Anal. Real World Appl. , vol.10 , Issue.3 , pp. 1527-1539
    • Wang, Y.1
  • 16
    • 33744550290 scopus 로고    scopus 로고
    • On the existence and stability of the periodic solution in the Cohen-Grossberg neural network with time delay and high-order terms
    • DOI 10.1016/j.amc.2005.10.048, PII S009630030500901X
    • C.Wu, J. Ruan, andW. Lin, "On the existence and stability of the periodic solution in the Cohen-Grossberg neural network with time delay and high-order terms," Appl. Math. Comput., vol. 177, no. 1, pp. 194-210, Jun. 2006. (Pubitemid 43815524)
    • (2006) Applied Mathematics and Computation , vol.177 , Issue.1 , pp. 194-210
    • Wu, C.1    Ruan, J.2    Lin, W.3
  • 17
    • 49049108880 scopus 로고    scopus 로고
    • Exponential stability analysis for neural networks with time-varying delay
    • Aug.
    • M. Wu, F. Liu, P. Shi, Y. He, and R. Yokoyama, "Exponential stability analysis for neural networks with time-varying delay," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 1152-1156, Aug. 2008.
    • (2008) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.38 , Issue.4 , pp. 1152-1156
    • Wu, M.1    Liu, F.2    Shi, P.3    He, Y.4    Yokoyama, R.5
  • 18
    • 51749123553 scopus 로고    scopus 로고
    • Existence and exponential stability of positive almost periodic solutions for high-order Hopfield neural networks
    • Jan.
    • B. Xiao and H. Meng, "Existence and exponential stability of positive almost periodic solutions for high-order Hopfield neural networks," Appl. Math. Model., vol. 33, no. 1, pp. 532-542, Jan. 2009.
    • (2009) Appl. Math. Model. , vol.33 , Issue.1 , pp. 532-542
    • Xiao, B.1    Meng, H.2
  • 19
    • 0038344694 scopus 로고    scopus 로고
    • Global asymptotic stability of high-order Hopfield type neural networks with time delays
    • May
    • B. Xu, X. Liu, and X. Liao, "Global asymptotic stability of high-order Hopfield type neural networks with time delays," Comput. Math. Appl., vol. 45, no. 10, pp. 1729-1737, May 2003.
    • (2003) Comput. Math. Appl. , vol.45 , Issue.10 , pp. 1729-1737
    • Xu, B.1    Liu, X.2    Liao, X.3
  • 20
    • 38649103857 scopus 로고    scopus 로고
    • Stability analysis of high-order Hopfield type neural networks with uncertainty
    • DOI 10.1016/j.neucom.2007.03.014, PII S0925231207002834
    • B. Xu, X. Liu, and X. Liao, "Stability analysis of high-order Hopfield type neural networks with uncertainty," Neurocomputing, vol. 71, no. 4-6, pp. 508-512, Jan. 2008. (Pubitemid 351168439)
    • (2008) Neurocomputing , vol.71 , Issue.4-6 , pp. 508-512
    • Xu, B.1    Wang, Q.2    Liao, X.3
  • 21
    • 33344456502 scopus 로고    scopus 로고
    • Global exponential stability of high order Hopfield type neural networks
    • DOI 10.1016/j.amc.2005.03.020, PII S0096300305004443
    • B. Xu, Q. Wang, and X. Liao, "Global exponential stability of high order Hopfield type neural networks," Appl. Math. Comput., vol. 174, no. 1, pp. 98-116, Mar. 2006. (Pubitemid 43288940)
    • (2006) Applied Mathematics and Computation , vol.174 , Issue.1 , pp. 98-116
    • Xu, B.1    Liu, X.2    Liao, X.3
  • 22
    • 41549133917 scopus 로고    scopus 로고
    • Existence and exponential stability of almost-periodic solutions for high-order Hopfield neural networks
    • DOI 10.1016/j.mcm.2007.06.014, PII S089571770700221X
    • Y. Yu and M. Cai, "Existence and exponential stability of almostperiodic solutions for high-order Hopfield neural networks," Math. Comput. Model., vol. 47, no. 9/10, pp. 943-951, May 2008. (Pubitemid 351470051)
    • (2008) Mathematical and Computer Modelling , vol.47 , Issue.9-10 , pp. 943-951
    • Yu, Y.1    Cai, M.2
  • 23
    • 34247631717 scopus 로고    scopus 로고
    • On global exponential stability of high-order neural networks with time-varying delays
    • Jun.
    • B. Zhang, S. Xu, Y. Li, and Y. Chu, "On global exponential stability of high-order neural networks with time-varying delays," Phys. Lett. A, vol. 366, no. 1/2, pp. 69-78, Jun. 2007.
    • (2007) Phys. Lett. A , vol.366 , Issue.1-2 , pp. 69-78
    • Zhang, B.1    Xu, S.2    Li, Y.3    Chu, Y.4
  • 24
    • 73949132376 scopus 로고    scopus 로고
    • Novel weighting-delaybased stability criteria for recurrent neural networks with time-varying delay
    • Jan.
    • H. Zhang, Z. Liu, G. B. Huang, and Z. Wang, "Novel weighting-delaybased 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.2    Huang, G.B.3    Wang, Z.4
  • 25
    • 77952582245 scopus 로고    scopus 로고
    • Robust global exponential synchronization of uncertain chaotic delayed neural networks via dualstage impulsive control
    • Jun.
    • H. Zhang, T. Ma, G. B. Huang, and Z. Wang, "Robust global exponential synchronization of uncertain chaotic delayed neural networks via dualstage impulsive control," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 3, pp. 831-844, Jun. 2010.
    • (2010) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.40 , Issue.3 , pp. 831-844
    • Zhang, H.1    Ma, T.2    Huang, G.B.3    Wang, Z.4
  • 26
    • 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
  • 27
    • 56449125534 scopus 로고    scopus 로고
    • Robust stability analysis for interval Cohen-Grossberg neural networks with unknown time-varying delays
    • Nov.
    • H. Zhang, Z. Wang, and D. Liu, "Robust stability analysis for interval Cohen-Grossberg neural networks with unknown time-varying delays," IEEE Trans. Neural Netw., vol. 19, no. 11, pp. 1942-1955, Nov. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.11 , pp. 1942-1955
    • Zhang, H.1    Wang, Z.2    Liu, D.3
  • 28
    • 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
  • 29
    • 34547907802 scopus 로고    scopus 로고
    • Robust exponential stability of recurrent neural networks with multiple time-varying delays
    • DOI 10.1109/TCSII.2007.896799
    • H. Zhang, Z. Wang, and D. Liu, "Robust exponential stability of cellular neural networks with multiple time varying delays," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 54, no. 8, pp. 730-734, Aug. 2007. (Pubitemid 47250016)
    • (2007) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.54 , Issue.8 , pp. 730-734
    • Zhang, H.1    Wang, Z.2    Liu, D.3
  • 30
    • 6344254943 scopus 로고    scopus 로고
    • Delay-Dependent exponential stability of cellular neural networks with time-varying delays
    • Feb.
    • Q. Zhang, X. Wei, and J. Xu, "Delay-dependent exponential stability of cellular neural networks with time-varying delays," Chaos Solitons Fractals, vol. 23, no. 4, pp. 1363-1369, Feb. 2005.
    • (2005) Chaos Solitons Fractals , vol.23 , Issue.4 , pp. 1363-1369
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 31
    • 58549084830 scopus 로고    scopus 로고
    • New stability criteria of neural networks with interval time-varying delay: A piecewise delay method
    • Feb.
    • Y. Zhang, D. Yue, and E. Tian, "New stability criteria of neural networks with interval time-varying delay: A piecewise delay method," Appl. Math. Comput., vol. 208, no. 1, pp. 249-259, Feb. 2009.
    • (2009) Appl. Math. Comput. , vol.208 , Issue.1 , pp. 249-259
    • Zhang, Y.1    Yue, D.2    Tian, E.3
  • 32
    • 64049101538 scopus 로고    scopus 로고
    • New delay-dependent global exponential stability criterion for cellular-type neural networks with timevarying delays
    • Mar.
    • C. D. Zheng, H. Zhang, and Z. Wang, "New delay-dependent global exponential stability criterion for cellular-type neural networks with timevarying delays," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 56, no. 3, pp. 250-254, Mar. 2009.
    • (2009) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.56 , Issue.3 , pp. 250-254
    • Zheng, C.D.1    Zhang, H.2    Wang, Z.3


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