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Volumn 77, Issue 4, 2008, Pages 331-344

Computer simulations of exponentially convergent networks with large impulses

Author keywords

39A12; 65Q05; 92B20; Discrete time analogue; Exponential stability; Impulses; Semi discretization

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS;

EID: 40749096513     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2007.02.012     Document Type: Article
Times cited : (6)

References (39)
  • 2
    • 2942585505 scopus 로고    scopus 로고
    • Discrete counterparts of continuous-time additive Hopfield-type neural networks with impulses
    • Akça H., Alassar R., Covachev V., and Covacheva Z. Discrete counterparts of continuous-time additive Hopfield-type neural networks with impulses. Dyn. Syst. Appl. 13 (2004) 77-92
    • (2004) Dyn. Syst. Appl. , vol.13 , pp. 77-92
    • Akça, H.1    Alassar, R.2    Covachev, V.3    Covacheva, Z.4
  • 4
    • 0026899601 scopus 로고
    • Stability of fixed points and periodic orbits and bifurcations in analog networks
    • Blum E.K., and Wang X. Stability of fixed points and periodic orbits and bifurcations in analog networks. Neural Netw. 5 (1992) 577-587
    • (1992) Neural Netw. , vol.5 , pp. 577-587
    • Blum, E.K.1    Wang, X.2
  • 5
    • 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 2-3 (2003) 136-147
    • (2003) Phys. Lett. A , vol.307 , Issue.2-3 , pp. 136-147
    • Cao, J.1
  • 6
    • 24644514367 scopus 로고    scopus 로고
    • Global stability analysis of impulsive Cohen-Grossberg neural networks with delay
    • Chen Z., and Ruan J. Global stability analysis of impulsive Cohen-Grossberg neural networks with delay. Phys. Lett. A 345 (2005) 101-111
    • (2005) Phys. Lett. A , vol.345 , pp. 101-111
    • Chen, Z.1    Ruan, J.2
  • 7
    • 3042750061 scopus 로고    scopus 로고
    • Stability of artificial neural networks with impulses
    • Gopalsamy K. Stability of artificial neural networks with impulses. Appl. Math. Computat. 154 (2004) 783-813
    • (2004) Appl. Math. Computat. , vol.154 , pp. 783-813
    • Gopalsamy, K.1
  • 8
    • 0033104380 scopus 로고    scopus 로고
    • On delayed impulsive Hopfield neural networks
    • Guan Z.H., and Chen G. On delayed impulsive Hopfield neural networks. Neural Netw. 12 (1999) 273-280
    • (1999) Neural Netw. , vol.12 , pp. 273-280
    • Guan, Z.H.1    Chen, G.2
  • 9
    • 0033967086 scopus 로고    scopus 로고
    • On impulsive autoassociative neural networks
    • Guan Z.H., Lam J., and Chen G. On impulsive autoassociative neural networks. Neural Netw. 13 (2000) 63-69
    • (2000) Neural Netw. , vol.13 , pp. 63-69
    • Guan, Z.H.1    Lam, J.2    Chen, G.3
  • 10
    • 30944452132 scopus 로고    scopus 로고
    • The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
    • Huang Z., Wang X., and Gao F. The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks. Phys. Lett. A 350 (2006) 182-191
    • (2006) Phys. Lett. A , vol.350 , pp. 182-191
    • Huang, Z.1    Wang, X.2    Gao, F.3
  • 11
    • 0002959217 scopus 로고
    • Stability and dynamics of numerical methods for nonlinear ordinary differential equations
    • Iserles A. Stability and dynamics of numerical methods for nonlinear ordinary differential equations. IMA J. Numer. Anal. 10 (1990) 1-30
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 1-30
    • Iserles, A.1
  • 12
    • 8444242130 scopus 로고    scopus 로고
    • Global stability and existence of periodic solutions of discrete delayed cellular neural networks
    • Li Y. Global stability and existence of periodic solutions of discrete delayed cellular neural networks. Phys. Lett. A 333 (2004) 51-61
    • (2004) Phys. Lett. A , vol.333 , pp. 51-61
    • Li, Y.1
  • 13
    • 9644255680 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with delays and impulses
    • Li Y. Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24 (2005) 279-285
    • (2005) Chaos Solitons Fractals , vol.24 , pp. 279-285
    • Li, Y.1
  • 14
    • 33645032220 scopus 로고    scopus 로고
    • Existence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks
    • Li Y. Existence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks. Electr. J. Differ. Equ. 32 (2006) 1-21
    • (2006) Electr. J. Differ. Equ. , vol.32 , pp. 1-21
    • Li, Y.1
  • 15
    • 8444222334 scopus 로고    scopus 로고
    • Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses
    • Li Y., and Lu L. Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses. Phys. Lett. A 333 (2004) 62-71
    • (2004) Phys. Lett. A , vol.333 , pp. 62-71
    • Li, Y.1    Lu, L.2
  • 16
    • 22844442780 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution of a class of neural networks with impulses
    • Li Y., Xing W., and Lu L. Existence and global exponential stability of periodic solution of a class of neural networks with impulses. Chaos Solitons Fractals 27 (2006) 437-445
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 437-445
    • Li, Y.1    Xing, W.2    Lu, L.3
  • 17
    • 2442601691 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays
    • Liang J., and Cao J. Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Chaos Solitons Fractals 22 (2004) 773-785
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 773-785
    • Liang, J.1    Cao, J.2
  • 18
    • 28244432161 scopus 로고    scopus 로고
    • Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays
    • Liu X., Teo K.L., and Xu B. Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. IEEE Trans. Neural Netw. 16 (2005) 1329-1339
    • (2005) IEEE Trans. Neural Netw. , vol.16 , pp. 1329-1339
    • Liu, X.1    Teo, K.L.2    Xu, B.3
  • 19
    • 33645055915 scopus 로고    scopus 로고
    • Global asymptotic stability of delay BAM neural networks with impulses
    • Lou X.Y., and Cui B.T. Global asymptotic stability of delay BAM neural networks with impulses. Chaos Solitons Fractals 29 (2006) 1023-1031
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 1023-1031
    • Lou, X.Y.1    Cui, B.T.2
  • 22
    • 0035890410 scopus 로고    scopus 로고
    • Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks
    • Mohamad S. Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Phys. D 159 (2001) 233-251
    • (2001) Phys. D , vol.159 , pp. 233-251
    • Mohamad, S.1
  • 23
    • 0037507291 scopus 로고    scopus 로고
    • Global exponential stability in discrete-time analogues of delayed cellular neural networks
    • Mohamad S. Global exponential stability in discrete-time analogues of delayed cellular neural networks. J. Differ. Equ. Appl. 9 (2003) 559-575
    • (2003) J. Differ. Equ. Appl. , vol.9 , pp. 559-575
    • Mohamad, S.1
  • 24
    • 33749849227 scopus 로고    scopus 로고
    • Exponential stability in Hopfield-type neural networks with impulses
    • Mohamad S. Exponential stability in Hopfield-type neural networks with impulses. Chaos Solitons Fractals 32 (2007) 456-467
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 456-467
    • Mohamad, S.1
  • 25
    • 0013046313 scopus 로고    scopus 로고
    • Dynamics of a class of discrete-time neural networks and their continuous-time counterparts
    • Mohamad S., and Gopalsamy K. Dynamics of a class of discrete-time neural networks and their continuous-time counterparts. Math. Comput. Simul. 53 (2000) 1-39
    • (2000) Math. Comput. Simul. , vol.53 , pp. 1-39
    • Mohamad, S.1    Gopalsamy, K.2
  • 26
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time cellular neural networks with discrete delays
    • Mohamad S., and Gopalsamy K. Exponential stability of continuous-time and discrete-time cellular neural networks with discrete delays. Appl. Math. Computat. 135 (2003) 17-38
    • (2003) Appl. Math. Computat. , vol.135 , pp. 17-38
    • Mohamad, S.1    Gopalsamy, K.2
  • 27
    • 0036147916 scopus 로고    scopus 로고
    • Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks
    • Mohamad S., and Naim A.G. Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks. J. Computat. Appl. Math. 138 (2002) 1-20
    • (2002) J. Computat. Appl. Math. , vol.138 , pp. 1-20
    • Mohamad, S.1    Naim, A.G.2
  • 28
    • 0002713135 scopus 로고
    • Exact solution of a difference approximation to Duffing's equation
    • Potts R.B. Exact solution of a difference approximation to Duffing's equation. J. Austral. Math. Soc. Ser. B 23 (1981) 64-77
    • (1981) J. Austral. Math. Soc. Ser. B , vol.23 , pp. 64-77
    • Potts, R.B.1
  • 29
    • 0000417754 scopus 로고
    • Best difference equation approximation to Duffing's equation
    • Potts R.B. Best difference equation approximation to Duffing's equation. J. Austral. Math. Soc. Ser. B 23 (1982) 349-456
    • (1982) J. Austral. Math. Soc. Ser. B , vol.23 , pp. 349-456
    • Potts, R.B.1
  • 30
    • 0000258580 scopus 로고
    • Differential and difference equations
    • Potts R.B. Differential and difference equations. Am. Math. Monthly 89 (1982) 402-407
    • (1982) Am. Math. Monthly , vol.89 , pp. 402-407
    • Potts, R.B.1
  • 33
    • 3543071672 scopus 로고    scopus 로고
    • Exponential periodicity of continuous-time and discrete-time neural networks with delays
    • Sun C., and Feng C.B. Exponential periodicity of continuous-time and discrete-time neural networks with delays. Neural Process. Lett. 19 (2004) 131-146
    • (2004) Neural Process. Lett. , vol.19 , pp. 131-146
    • Sun, C.1    Feng, C.B.2
  • 34
    • 11144309685 scopus 로고    scopus 로고
    • Discrete-time analogues of integrodifferential equations modeling neural networks
    • Sun C., and Feng C.B. Discrete-time analogues of integrodifferential equations modeling neural networks. Phys. Lett. A 334 (2005) 180-191
    • (2005) Phys. Lett. A , vol.334 , pp. 180-191
    • Sun, C.1    Feng, C.B.2
  • 35
    • 0026900945 scopus 로고
    • Discrete-time versus continuous-time models of neural networks
    • Wang X., and Blum E.K. Discrete-time versus continuous-time models of neural networks. J. Comput. Syst. Sci. 45 (1992) 1-19
    • (1992) J. Comput. Syst. Sci. , vol.45 , pp. 1-19
    • Wang, X.1    Blum, E.K.2
  • 36
    • 30644467615 scopus 로고    scopus 로고
    • Global exponential stability of cellular neural networks with continuously distributed delays and impulses
    • Wang Y., Xiong W., Zhou Q., Xiao B., and Yu Y. Global exponential stability of cellular neural networks with continuously distributed delays and impulses. Phys. Lett. A 350 (2006) 89-95
    • (2006) Phys. Lett. A , vol.350 , pp. 89-95
    • Wang, Y.1    Xiong, W.2    Zhou, Q.3    Xiao, B.4    Yu, Y.5
  • 37
    • 21744433519 scopus 로고    scopus 로고
    • Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays
    • Yang X., Liao X., Evans D.J., and Tang Y. Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays. Phys. Lett. A 343 (2005) 108-116
    • (2005) Phys. Lett. A , vol.343 , pp. 108-116
    • Yang, X.1    Liao, X.2    Evans, D.J.3    Tang, Y.4
  • 38
    • 28244479485 scopus 로고    scopus 로고
    • Existence and exponential stability of periodic solution for impulsive delay differential equations and applications
    • Yang Z., and Xu D. Existence and exponential stability of periodic solution for impulsive delay differential equations and applications. Nonlinear Anal. 64 (2006) 130-145
    • (2006) Nonlinear Anal. , vol.64 , pp. 130-145
    • Yang, Z.1    Xu, D.2
  • 39
    • 40749158666 scopus 로고    scopus 로고
    • Stability of impulsive neural networks with time delays
    • Zhange Y., and Sun J. Stability of impulsive neural networks with time delays. Phys. Lett. A 64 (2006) 130-145
    • (2006) Phys. Lett. A , vol.64 , pp. 130-145
    • Zhange, Y.1    Sun, J.2


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