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Volumn 22, Issue 2, 2011, Pages 323-329

Stabilizing effects of impulses in discrete-time delayed neural networks

Author keywords

Discrete time neural networks; impulse; stabilization; time delay

Indexed keywords

ASYMPTOTICALLY STABLE; DISCRETE-TIME; DISCRETE-TIME NEURAL NETWORKS; EQUILIBRIUM POINT; EXPONENTIAL STABILITY; EXPONENTIALLY STABLE; FREE COMPONENT; GLOBAL EXPONENTIAL STABILITY; IMPULSE; IMPULSE EFFECT; STABILIZING EFFECTS; WHOLE SYSTEMS;

EID: 79951669716     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2010.2100084     Document Type: Article
Times cited : (114)

References (36)
  • 1
    • 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. Natl. Acad. Sci., vol. 79, no. 8, pp. 2554-2558, Apr. 1982.
    • (1982) Proc. Natl. Acad. Sci. , vol.79 , Issue.8 , pp. 2554-2558
    • Hopfield, J.J.1
  • 3
    • 0034270149 scopus 로고    scopus 로고
    • Equivalence between local exponential stability of the unique equilibrium point and global stability for Hopfield-type neural networks with two neurons
    • Sep.
    • X.-B. Liang, "Equivalence between local exponential stability of the unique equilibrium point and global stability for Hopfield-type neural networks with two neurons," IEEE Trans. Neural Netw., vol. 11, no. 5, pp. 1194-1196, Sep. 2000.
    • (2000) IEEE Trans. Neural Netw. , vol.11 , Issue.5 , pp. 1194-1196
    • Liang, X.-B.1
  • 4
    • 0033733827 scopus 로고    scopus 로고
    • On equilibria, stability, and instability of Hopfield neural networks
    • Mar.
    • Z.-H. Guan, G. Chen, and Y. Qin, "On equilibria, stability, and instability of Hopfield neural networks," IEEE Trans. Neural Netw., vol. 11, no. 2, pp. 534-540, Mar. 2000.
    • (2000) IEEE Trans. Neural Netw. , vol.11 , Issue.2 , pp. 534-540
    • Guan, Z.-H.1    Chen, G.2    Qin, Y.3
  • 5
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield nets with transmission delays
    • Sep.
    • K. Gopalsamy and X.-Z. He, "Stability in asymmetric Hopfield nets with transmission delays," Phys. D, vol. 76, no. 4, pp. 344-358, Sep. 1994.
    • (1994) Phys. D , vol.76 , Issue.4 , pp. 344-358
    • Gopalsamy, K.1    He, X.-Z.2
  • 6
    • 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 nonlinear and delay-type template elements," Int. J. Circuit Theory Appl., vol. 20, no. 5, pp. 469-481, Sep.-Oct. 1992. (Pubitemid 23607972)
    • (1992) International Journal of Circuit Theory and Applications , vol.20 , Issue.5 , pp. 469-481
    • Roska Tamas1    Chua Leon, O.2
  • 8
    • 0033730977 scopus 로고    scopus 로고
    • Global asymptotic stability of a class of dynamical neural networks
    • Apr.
    • S. Arik, "Global asymptotic stability of a class of dynamical neural networks," IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 47, no. 4, pp. 568-571, Apr. 2000.
    • (2000) IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. , vol.47 , Issue.4 , pp. 568-571
    • Arik, S.1
  • 9
    • 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. N. Sanchez, "Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach," Neural Netw., vol. 15, no. 7, pp. 855-866, Sep. 2002. (Pubitemid 35299581)
    • (2002) Neural Networks , vol.15 , Issue.7 , pp. 855-866
    • Liao, X.1    Chen, G.2    Sanchez, E.N.3
  • 10
    • 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. 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
  • 11
    • 33644993005 scopus 로고    scopus 로고
    • A new LMI condition for delayeddependent asymptotic stability of delayed Hopfield neural networks
    • Mar.
    • S. Xu, J. Lam, and D. W. C. Ho, "A new LMI condition for delayeddependent asymptotic stability of delayed Hopfield neural networks," IEEE Trans. Circuits Syst. II: Exp. Briefs, vol. 53, no. 3, pp. 230-234, Mar. 2006.
    • (2006) IEEE Trans. Circuits Syst. II: Exp. Briefs , vol.53 , Issue.3 , pp. 230-234
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3
  • 12
    • 0033104380 scopus 로고    scopus 로고
    • On delayed impulsive Hopfield neural networks
    • DOI 10.1016/S0893-6080(98)00133-6, PII S0893608098001336
    • Z.-H. Guan and G. Chen, "On delayed impulsive Hopfield neural networks," Neural Netw., vol. 12, no. 2, pp. 273-280, Mar. 1999. (Pubitemid 29148446)
    • (1999) Neural Networks , vol.12 , Issue.2 , pp. 273-280
    • Guan, Z.-H.1    Chen, G.2
  • 13
    • 34249053502 scopus 로고    scopus 로고
    • Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays
    • Jun.
    • Q. Song and J. Cao, "Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays," IEEE Trans. Syst., Man, Crybern.-Part B: Cybern., vol. 37, no. 3, pp. 733-741, Jun. 2008.
    • (2008) IEEE Trans. Syst., Man, Crybern.-Part B: Cybern. , vol.37 , Issue.3 , pp. 733-741
    • Song, Q.1    Cao, J.2
  • 14
    • 9644255680 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with delays and impulses
    • Apr.
    • Y. K. Li, "Global exponential stability of BAM neural networks with delays and impulses," Chaos, Solitons & Fractals, vol. 24, no. 1, pp. 279-285, Apr. 2005.
    • (2005) Chaos, Solitons & Fractals , vol.24 , Issue.1 , pp. 279-285
    • Li, Y.K.1
  • 15
    • 85008022317 scopus 로고    scopus 로고
    • Stabilizing effects of impulse in delayed BAM neural networks
    • Dec.
    • C. Li, Y. Y. Shen, and G. Feng, "Stabilizing effects of impulse in delayed BAM neural networks," IEEE Trans. Circuits Syst.-II: Exp. Briefs, vol. 55, no. 12, pp. 1284-1288, Dec. 2008.
    • (2008) IEEE Trans. Circuits Syst.-II: Exp. Briefs , vol.55 , Issue.12 , pp. 1284-1288
    • Li, C.1    Shen, Y.Y.2    Feng, G.3
  • 16
  • 17
    • 45849135646 scopus 로고    scopus 로고
    • Impulsive effects on global asymptotic stability of delay BAM neural networks
    • Nov.
    • J. Chen and B. Cui, "Impulsive effects on global asymptotic stability of delay BAM neural networks," Chaos, Solitons & Fractals, vol. 38, no. 4, pp. 1115-1125, Nov. 2008.
    • (2008) Chaos, Solitons & Fractals , vol.38 , Issue.4 , pp. 1115-1125
    • Chen, J.1    Cui, B.2
  • 18
    • 14844333215 scopus 로고    scopus 로고
    • Impulsive delay differential inequality and stability of neural networks
    • DOI 10.1016/j.jmaa.2004.10.040, PII S0022247X04008807
    • D. Xu and Z. Yang, "Impulsive delay differential inequality and stability of neural networks," J. Math. Anal. Appl., vol. 305, no. 1, pp. 107-120, May 2005. (Pubitemid 40350371)
    • (2005) Journal of Mathematical Analysis and Applications , vol.305 , Issue.1 , pp. 107-120
    • Xu, D.1    Yang, Z.2
  • 22
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuoustime and discrete-time cellular neural networks with delays
    • Feb.
    • S. Mohamad and K. Gopalsamy, "Exponential stability of continuoustime and discrete-time cellular neural networks with delays," Appl. Math. Comput., vol. 135, no. 1, pp. 17-38, Feb. 2003.
    • (2003) Appl. Math. Comput. , vol.135 , Issue.1 , pp. 17-38
    • Mohamad, S.1    Gopalsamy, K.2
  • 23
    • 0013046313 scopus 로고    scopus 로고
    • Dynamics of a class of discrete-time neural networks and their continuous-time counterparts
    • Aug.
    • S. Mohamad and K. Gopalsamy, "Dynamics of a class of discrete-time neural networks and their continuous-time counterparts," Math. Comput. Simul., vol. 53, nos. 1-2, pp. 1-39, Aug. 2000.
    • (2000) Math. Comput. Simul. , vol.53 , Issue.1-2 , pp. 1-39
    • Mohamad, S.1    Gopalsamy, K.2
  • 24
    • 0035890410 scopus 로고    scopus 로고
    • Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks
    • DOI 10.1016/S0167-2789(01)00344-X, PII S016727890100344X
    • S. Mohamad, "Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks," Phys. D, vol. 159, nos. 3-4, pp. 233-251, Nov. 2001. (Pubitemid 33094193)
    • (2001) Physica D: Nonlinear Phenomena , vol.159 , Issue.3-4 , pp. 233-251
    • Mohamad, S.1
  • 26
    • 0036506134 scopus 로고    scopus 로고
    • Stability analysis of discrete-time recurrent neural networks
    • DOI 10.1109/72.991416, PII S1045922702017988
    • N. E. Barabanov and D. V. Prokhorov, "Stability analysis of discretetime recurrent neural networks," IEEE Trans. Neural Netw., vol. 13, no. 2, pp. 292-303, Mar. 2002. (Pubitemid 34475032)
    • (2002) IEEE Transactions on Neural Networks , vol.13 , Issue.2 , pp. 292-303
    • Barabanov, N.E.1    Prokhorov, D.V.2
  • 27
    • 8444242130 scopus 로고    scopus 로고
    • Global stability and existence of periodic solutions of discrete delayed cellular neural networks
    • Nov.
    • Y. Li, "Global stability and existence of periodic solutions of discrete delayed cellular neural networks," Phys. Lett. A, vol. 333, nos. 1-2, pp. 51-61, Nov. 2004.
    • (2004) Phys. Lett. A , vol.333 , Issue.1-2 , pp. 51-61
    • Li, Y.1
  • 28
    • 12544259222 scopus 로고    scopus 로고
    • Discrete-time bidirectional associative memory neural networks with variable delays
    • DOI 10.1016/j.physleta.2004.12.026, PII S0375960104017359
    • J. Liang, J. Cao, and D. W. C. Ho, "Discrete-time bidirectional associative memory neural networks with variable delays," Phys. Lett. A, vol. 335, nos. 2-3, pp. 226-234, Feb. 2005. (Pubitemid 40152956)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.335 , Issue.2-3 , pp. 226-234
    • Liang, J.1    Cao, J.2    Ho, D.W.C.3
  • 29
    • 15844417389 scopus 로고    scopus 로고
    • Global exponential stability of discrete-time Cohen-Grossberg neural networks
    • DOI 10.1016/j.neucom.2004.08.004, PII S0925231204003613
    • W. Xiong and J. Cao, "Global exponential stability of discrete-time Cohen-Grossberg neural networks," Neurocomputing, vol. 64, pp. 433-446, Mar. 2005. (Pubitemid 40425331)
    • (2005) Neurocomputing , vol.64 , Issue.SPEC. ISS. , pp. 433-446
    • Xiong, W.1    Cao, J.2
  • 30
    • 34249672271 scopus 로고    scopus 로고
    • Stability analysis of a discrete Hopfield neural network with delay
    • DOI 10.1016/j.neucom.2006.12.003, PII S0925231206005224, Selected papers from the 3rd International Conference on Development and Learning (ICDL 2004)
    • E. C. C. Tsang, S. S. Qiu, and D. S. Yeung, "Stability analysis of a discrete Hopfield neural network with delay," Neurocomputing, vol. 70, nos. 13-15, pp. 2598-2602, Aug. 2007. (Pubitemid 46838559)
    • (2007) Neurocomputing , vol.70 , Issue.13-15 , pp. 2598-2602
    • Tsang, E.C.C.1    Qiu, S.S.2    Yeung, D.S.3
  • 31
    • 34547402018 scopus 로고    scopus 로고
    • A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays
    • Aug.
    • Q. Song and Z. Wang, "A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays," Phys. Lett. A, vol. 368, nos. 1-2, pp. 134-145, Aug. 2007.
    • (2007) Phys. Lett. A , vol.368 , Issue.1-2 , pp. 134-145
    • Song, Q.1    Wang, Z.2
  • 32
    • 31344468612 scopus 로고    scopus 로고
    • Global robust stability of a class of discrete-time interval neural networks
    • DOI 10.1109/TCSI.2005.854288
    • S. Hu and J. Wang, "Global robust stability of a class of discrete-time interval neural networks," IEEE Trans. Circuits Syst.-I, vol. 53, no. 1, pp. 129-138, Jan. 2006. (Pubitemid 43141936)
    • (2006) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.53 , Issue.1 , pp. 129-138
    • Hu, S.1    Wang, J.2
  • 33
    • 33748047113 scopus 로고    scopus 로고
    • Stability and bifurcation for discrete-time Cohen-Grossberg neural network
    • DOI 10.1016/j.amc.2005.11.148, PII S0096300305010908
    • H. Zhao and L. Wang, "Stability and bifurcation for discrete-time Cohen-Grossberg neural network," Appl. Math. Comput., vol. 179, no. 2, pp. 787-798, Aug. 2006. (Pubitemid 44301460)
    • (2006) Applied Mathematics and Computation , vol.179 , Issue.2 , pp. 787-798
    • Zhao, H.1    Wang, L.2
  • 34
    • 38649124967 scopus 로고    scopus 로고
    • Asymptotic behavior of discrete solutions to delayed neural networks with impulses
    • DOI 10.1016/j.neucom.2006.11.022, PII S0925231207000288
    • H. Zhang and L. Chen, "Asymptotic behavior of discrete solutions to delayed neural networks with impulses," Neurocomputing, vol. 71, nos. 4-6, pp. 1032-1038, Jan. 2008. (Pubitemid 351168411)
    • (2008) Neurocomputing , vol.71 , Issue.4-6 , pp. 1032-1038
    • Zhang, H.1    Chen, L.2
  • 35
    • 0027148066 scopus 로고
    • Associative memory with nonmonotone dynamics
    • M. Morita, "Associative memory with nonmonotone dynamics," Neural Netw., vol. 6, no. 1, pp. 115-126, 1993. (Pubitemid 23613240)
    • (1993) Neural Networks , vol.6 , Issue.1 , pp. 115-126
    • Morita Masahiko1
  • 36
    • 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 neuron 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


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