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Volumn 73, Issue 4-6, 2010, Pages 749-758

Existence and global exponential stability of periodic solution for delayed neural networks with impulsive and stochastic effects

Author keywords

Delayed neural networks; Existence; Global exponential stability; Impulses; L operator; Periodic solution; Stochastic

Indexed keywords

ALGEBRAIC METHOD; DELAY DIFFERENTIAL INEQUALITY; DELAYED NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; PERIODIC SOLUTION; STOCHASTIC ANALYSIS; STOCHASTIC EFFECTS; SUFFICIENT CONDITIONS;

EID: 75749158065     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2009.10.016     Document Type: Article
Times cited : (58)

References (42)
  • 1
    • 0020970741 scopus 로고
    • Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
    • Cohen M., and Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybernet. 13 (1983) 815-826
    • (1983) IEEE Trans. Syst. Man Cybernet. , vol.13 , pp. 815-826
    • Cohen, M.1    Grossberg, S.2
  • 2
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Cao J., and Wang J. Global asymptotic stability of a general class of recurrent neural networks with time-varying delays. IEEE Trans. Circ. Syst. I 50 (2003) 34-44
    • (2003) IEEE Trans. Circ. Syst. I , vol.50 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 3
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • Cao J., and Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans. Circ. Syst. I 52 (2005) 417-426
    • (2005) IEEE Trans. Circ. Syst. I , vol.52 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 4
    • 66049140794 scopus 로고    scopus 로고
    • Periodic oscillation in delayed gene networks with SUM regulatory logic and small perturbations
    • Wang Y., et al. Periodic oscillation in delayed gene networks with SUM regulatory logic and small perturbations. Math. Biosci. 220 (2009) 34-44
    • (2009) Math. Biosci. , vol.220 , pp. 34-44
    • Wang, Y.1
  • 5
    • 0029345226 scopus 로고
    • New conditions for global stability of neural networks with application to linear and quadratic programming problems
    • Forti M., and Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans. Circ. Syst. I 42 (1995) 354-366
    • (1995) IEEE Trans. Circ. Syst. I , vol.42 , pp. 354-366
    • Forti, M.1    Tesi, A.2
  • 6
    • 64049112436 scopus 로고    scopus 로고
    • A new sufficient condition for global robust stability of bidirectional associative memory neural networks with multiple time delays
    • Ozcan N., and Arik S. A new sufficient condition for global robust stability of bidirectional associative memory neural networks with multiple time delays. Nonlinear Anal. 10 (2009) 3312-3320
    • (2009) Nonlinear Anal. , vol.10 , pp. 3312-3320
    • Ozcan, N.1    Arik, S.2
  • 7
    • 43049160891 scopus 로고    scopus 로고
    • Multistability of neural networks with discontinuous activation function
    • Huang G., and Cao J. Multistability of neural networks with discontinuous activation function. Commun. Nonlinear Sci. Numer. Simul. 13 (2008) 2279-2289
    • (2008) Commun. Nonlinear Sci. Numer. Simul. , vol.13 , pp. 2279-2289
    • Huang, G.1    Cao, J.2
  • 8
    • 67349090330 scopus 로고    scopus 로고
    • Global exponential stability for a class of neural networks
    • Li X. Global exponential stability for a class of neural networks. Appl. Math. Lett. 22 (2009) 1235-1239
    • (2009) Appl. Math. Lett. , vol.22 , pp. 1235-1239
    • Li, X.1
  • 9
    • 34047260556 scopus 로고    scopus 로고
    • An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays
    • Song Q., and Wang Z. An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays. Nonlinear Anal. 8 (2007) 1224-1234
    • (2007) Nonlinear Anal. , vol.8 , pp. 1224-1234
    • Song, Q.1    Wang, Z.2
  • 10
    • 0033640658 scopus 로고    scopus 로고
    • Existence and learning of oscillations in recurrent neural networks
    • Townley S., et al. Existence and learning of oscillations in recurrent neural networks. IEEE Trans. Neural Networks 11 (2000) 205-214
    • (2000) IEEE Trans. Neural Networks , vol.11 , pp. 205-214
    • Townley, S.1
  • 11
    • 33747344762 scopus 로고    scopus 로고
    • New result on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays
    • Xia Y., Cao J., and Lin M. New result on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays. Chaos Solitons Fract. 31 (2007) 928-936
    • (2007) Chaos Solitons Fract. , vol.31 , pp. 928-936
    • Xia, Y.1    Cao, J.2    Lin, M.3
  • 12
    • 67249123736 scopus 로고    scopus 로고
    • Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays
    • Li C., and Yang S. Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays. Chaos Solitons Fract. 41 (2009) 1235-1244
    • (2009) Chaos Solitons Fract. , vol.41 , pp. 1235-1244
    • Li, C.1    Yang, S.2
  • 13
    • 33846344721 scopus 로고    scopus 로고
    • Dynamic analysis of stochastic bidirectional associative memory neural networks with delays
    • Zhao H., and Ding N. Dynamic analysis of stochastic bidirectional associative memory neural networks with delays. Chaos Solitons Fract. 32 (2007) 1692-1702
    • (2007) Chaos Solitons Fract. , vol.32 , pp. 1692-1702
    • Zhao, H.1    Ding, N.2
  • 14
    • 40849113616 scopus 로고    scopus 로고
    • Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays
    • Rakkiyappan R., and Balasubramaniam P. Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays. Appl. Math. Comput. 198 (2008) 526-533
    • (2008) Appl. Math. Comput. , vol.198 , pp. 526-533
    • Rakkiyappan, R.1    Balasubramaniam, P.2
  • 15
    • 67349253029 scopus 로고    scopus 로고
    • Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks with time-varying delays
    • Ali M., and Balasubramaniam P. Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks with time-varying delays. Expert Syst. Appl. 36 (2009) 10583-10588
    • (2009) Expert Syst. Appl. , vol.36 , pp. 10583-10588
    • Ali, M.1    Balasubramaniam, P.2
  • 16
    • 20444396501 scopus 로고    scopus 로고
    • Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays
    • Huang H., Ho D., and Lam J. Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays. IEEE Trans. Circ. Syst. II 52 (2005) 251-255
    • (2005) IEEE Trans. Circ. Syst. II , vol.52 , pp. 251-255
    • Huang, H.1    Ho, D.2    Lam, J.3
  • 18
    • 46849116465 scopus 로고    scopus 로고
    • Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays
    • Rakkiyappan R., Balasubramaniam P., and Lakshmanan S. Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays. Phys. Lett. A 372 (2008) 5290-5298
    • (2008) Phys. Lett. A , vol.372 , pp. 5290-5298
    • Rakkiyappan, R.1    Balasubramaniam, P.2    Lakshmanan, S.3
  • 19
    • 53449094012 scopus 로고    scopus 로고
    • Global asymptotic stability of stochastic recurrent neural networks with multiple discrete delays and unbounded distributed delays
    • Balasubramaniam P., and Rakkiyappan R. Global asymptotic stability of stochastic recurrent neural networks with multiple discrete delays and unbounded distributed delays. Appl. Math. Comput. 204 (2008) 680-686
    • (2008) Appl. Math. Comput. , vol.204 , pp. 680-686
    • Balasubramaniam, P.1    Rakkiyappan, R.2
  • 20
    • 41949092085 scopus 로고    scopus 로고
    • Exponential stability of stochastic delayed Hopfield neural networks
    • Zhou Q., and Wan L. Exponential stability of stochastic delayed Hopfield neural networks. Appl. Math. Comput. 199 (2008) 84-89
    • (2008) Appl. Math. Comput. , vol.199 , pp. 84-89
    • Zhou, Q.1    Wan, L.2
  • 21
    • 75749095299 scopus 로고    scopus 로고
    • Almost sure exponential stability of stochastic cellular neural networks with unbounded distributed delays
    • Huang C., and Cao J. Almost sure exponential stability of stochastic cellular neural networks with unbounded distributed delays. Neurocomputing 72 (2009) 3352-3356
    • (2009) Neurocomputing , vol.72 , pp. 3352-3356
    • Huang, C.1    Cao, J.2
  • 22
    • 50149114505 scopus 로고    scopus 로고
    • Mean square exponential stability and periodic solutions of stochastic delay cellular neural networks
    • Lu J., and Ma Y. Mean square exponential stability and periodic solutions of stochastic delay cellular neural networks. Chaos Solitons Fract. 38 (2008) 1323-1331
    • (2008) Chaos Solitons Fract. , vol.38 , pp. 1323-1331
    • Lu, J.1    Ma, Y.2
  • 24
    • 67949114164 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
    • Li X. Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays. Appl. Math. Comput. 215 (2009) 292-307
    • (2009) Appl. Math. Comput. , vol.215 , pp. 292-307
    • Li, X.1
  • 26
    • 64049091274 scopus 로고    scopus 로고
    • Stability properties for Hopfield neural networks with delays and impulsive perturbations
    • Li X., and Chen Z. Stability properties for Hopfield neural networks with delays and impulsive perturbations. Nonlinear Anal. Real World Appl. 10 (2009) 3253-3265
    • (2009) Nonlinear Anal. Real World Appl. , vol.10 , pp. 3253-3265
    • Li, X.1    Chen, Z.2
  • 27
    • 60249096772 scopus 로고    scopus 로고
    • Stability analysis for periodic solution of BAM neural networks with discontinuous neuron activations and impulses
    • Wu H., and Shan C. Stability analysis for periodic solution of BAM neural networks with discontinuous neuron activations and impulses. Appl. Math. Modelling 33 (2009) 2564-2574
    • (2009) Appl. Math. Modelling , vol.33 , pp. 2564-2574
    • Wu, H.1    Shan, C.2
  • 28
    • 4644259074 scopus 로고    scopus 로고
    • Suppressing the periodic impulse in partial discharge detection based on chaotic control
    • Zhou L., Li W., and Chen Y. Suppressing the periodic impulse in partial discharge detection based on chaotic control. Autom. Electric Power Syst. 28 (2004) 90-94
    • (2004) Autom. Electric Power Syst. , vol.28 , pp. 90-94
    • Zhou, L.1    Li, W.2    Chen, Y.3
  • 29
    • 0028495809 scopus 로고
    • Automatic detection and elimination of periodic pulse shaped interference in partial discharge measurements
    • Nagesh V. Automatic detection and elimination of periodic pulse shaped interference in partial discharge measurements. IEE Proc. Meas. Technol. 141 (1994) 335-339
    • (1994) IEE Proc. Meas. Technol. , vol.141 , pp. 335-339
    • Nagesh, V.1
  • 30
    • 40849111420 scopus 로고    scopus 로고
    • Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
    • Song Q., and Wang Z. Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays. Physica A 387 (2008) 3314-3326
    • (2008) Physica A , vol.387 , pp. 3314-3326
    • Song, Q.1    Wang, Z.2
  • 31
    • 33748752311 scopus 로고    scopus 로고
    • Exponential p-stability of impulsive stochastic differential equations with delays
    • Yang Z., Xu D., and Xiang L. Exponential p-stability of impulsive stochastic differential equations with delays. Phys. Lett. A 359 (2006) 129-137
    • (2006) Phys. Lett. A , vol.359 , pp. 129-137
    • Yang, Z.1    Xu, D.2    Xiang, L.3
  • 32
    • 33747810413 scopus 로고    scopus 로고
    • p-moment stability of stochastic differential equations with impulsive jump and Markovian switching
    • Wu H., and Sun J. p-moment stability of stochastic differential equations with impulsive jump and Markovian switching. Automatica 42 (2006) 1753-1759
    • (2006) Automatica , vol.42 , pp. 1753-1759
    • Wu, H.1    Sun, J.2
  • 33
    • 57649104873 scopus 로고    scopus 로고
    • Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
    • Wang X., et al. Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays. Math. Comput. Simul. 79 (2009) 1698-1710
    • (2009) Math. Comput. Simul. , vol.79 , pp. 1698-1710
    • Wang, X.1
  • 34
    • 67649850493 scopus 로고    scopus 로고
    • Existence and exponential stability of almost periodic solution for stochastic cellular neural networks with delay
    • Huang Z., and Yang Q. Existence and exponential stability of almost periodic solution for stochastic cellular neural networks with delay. Chaos Solitons Fract. 42 (2009) 773-780
    • (2009) Chaos Solitons Fract. , vol.42 , pp. 773-780
    • Huang, Z.1    Yang, Q.2
  • 35
    • 67349126530 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks with delays and impulses
    • Yang X. Existence and global exponential stability of periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks with delays and impulses. Neurocomputing 72 (2009) 2219-2226
    • (2009) Neurocomputing , vol.72 , pp. 2219-2226
    • Yang, X.1
  • 36
    • 67649292091 scopus 로고    scopus 로고
    • New Conditions on the existence and stability of periodic solution in Lotka-Volterra's population system
    • Xia Y., and Han M. New Conditions on the existence and stability of periodic solution in Lotka-Volterra's population system. SIAM J. Appl. Math. 69 (2009) 1580-1597
    • (2009) SIAM J. Appl. Math. , vol.69 , pp. 1580-1597
    • Xia, Y.1    Han, M.2
  • 37
    • 33847745305 scopus 로고    scopus 로고
    • A new analytical method for the linearization of dynamic equation on measure chains
    • Xia Y., Cao J., and Han M. A new analytical method for the linearization of dynamic equation on measure chains. J. Differential Equations 235 (2007) 527-543
    • (2007) J. Differential Equations , vol.235 , pp. 527-543
    • Xia, Y.1    Cao, J.2    Han, M.3
  • 38
    • 63449119883 scopus 로고    scopus 로고
    • Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks
    • Xia Y., Yang Z., and Han M. Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks. Commun. Nonlinear Sci. Numer. Simul. 14 (2009) 3645-3659
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 3645-3659
    • Xia, Y.1    Yang, Z.2    Han, M.3
  • 39
    • 60549091777 scopus 로고    scopus 로고
    • Periodic solutions of nonautonomous cellular neural networks with impulses and delays
    • Zhang J., and Gui Z. Periodic solutions of nonautonomous cellular neural networks with impulses and delays. Nonlinear Anal. Real World Appl. 10 (2009) 1891-1903
    • (2009) Nonlinear Anal. Real World Appl. , vol.10 , pp. 1891-1903
    • Zhang, J.1    Gui, Z.2
  • 40
    • 67949121856 scopus 로고    scopus 로고
    • Lag synchronization of chaotic delayed Yang-Yang type fuzzy neural networks with noise perturbation based on adaptive control and parameter identification
    • Y. Xia, Z, Yang, M. Han, Lag synchronization of chaotic delayed Yang-Yang type fuzzy neural networks with noise perturbation based on adaptive control and parameter identification, IEEE Trans. Neural Networks 20 (2009) 1165-1180.
    • (2009) IEEE Trans. Neural Networks , vol.20 , pp. 1165-1180
    • Xia, Y.1    Yang, Z.2    Han, M.3
  • 41
    • 70349505858 scopus 로고    scopus 로고
    • Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays
    • Zhu Q., and Cao J. Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays. Discrete Dyn. Nat. Soc. 2009 (2009) 1-20
    • (2009) Discrete Dyn. Nat. Soc. , vol.2009 , pp. 1-20
    • Zhu, Q.1    Cao, J.2
  • 42
    • 67349226678 scopus 로고    scopus 로고
    • Robust stability analysis of uncertain stochastic neural networks with interval time-varying delay
    • Feng W., Yang S., Fu W., and Wu H. Robust stability analysis of uncertain stochastic neural networks with interval time-varying delay. Chaos Solitons Fract. 41 (2009) 414-424
    • (2009) Chaos Solitons Fract. , vol.41 , pp. 414-424
    • Feng, W.1    Yang, S.2    Fu, W.3    Wu, H.4


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