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Volumn 121, Issue , 2013, Pages 254-264

Global stability of complex-valued neural networks with both leakage time delay and discrete time delay on time scales

Author keywords

Complex valued neural networks; Discrete time delay; Global stability; Leakage time delay; Linear matrix inequality; Time scales

Indexed keywords

ACTIVATION FUNCTIONS; COMPLEX-VALUED NEURAL NETWORKS; DELAY-DEPENDENT CRITERIA; DISCRETE TIME DELAY; FREE-WEIGHTING MATRIX METHOD; GLOBAL STABILITY; LYAPUNOV-KRASOVSKII FUNCTIONALS; TIME-SCALES;

EID: 84884153215     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2013.04.040     Document Type: Article
Times cited : (146)

References (41)
  • 2
    • 70349255548 scopus 로고    scopus 로고
    • Complex-valued multistate associative memory with nonlinear multilevel functions for gray-level image reconstruction
    • Tanaka G., Aihara K. Complex-valued multistate associative memory with nonlinear multilevel functions for gray-level image reconstruction. IEEE Trans. Neural Networks 2009, 20(9):1463-1473.
    • (2009) IEEE Trans. Neural Networks , vol.20 , Issue.9 , pp. 1463-1473
    • Tanaka, G.1    Aihara, K.2
  • 3
    • 54549084691 scopus 로고    scopus 로고
    • Symmetric complex-valued RBF receiver for multiple-antenna-aided wireless systems
    • Shen C., Lajos H., Tan S. Symmetric complex-valued RBF receiver for multiple-antenna-aided wireless systems. IEEE Trans. Neural Networks 2008, 19(9):1659-1665.
    • (2008) IEEE Trans. Neural Networks , vol.19 , Issue.9 , pp. 1659-1665
    • Shen, C.1    Lajos, H.2    Tan, S.3
  • 4
    • 0029205963 scopus 로고
    • Channel equalization using adaptive complex radial basis function networks
    • Cha I., Kassam S.A. Channel equalization using adaptive complex radial basis function networks. IEEE J. Sel. Areas Commun. 1995, 13(1):122-131.
    • (1995) IEEE J. Sel. Areas Commun. , vol.13 , Issue.1 , pp. 122-131
    • Cha, I.1    Kassam, S.A.2
  • 5
    • 0348156824 scopus 로고    scopus 로고
    • Orthogonality of decision boundaries of complex-valued neural networks
    • Nitta T. Orthogonality of decision boundaries of complex-valued neural networks. Neural Comput. 2004, 16(1):73-97.
    • (2004) Neural Comput. , vol.16 , Issue.1 , pp. 73-97
    • Nitta, T.1
  • 6
    • 58149460022 scopus 로고    scopus 로고
    • Single-layered complex-valued neural network for real-valued classification problems
    • Amin M.F., Murase K. Single-layered complex-valued neural network for real-valued classification problems. Neurocomputing 2009, 72(4-6):945-955.
    • (2009) Neurocomputing , vol.72 , Issue.4-6 , pp. 945-955
    • Amin, M.F.1    Murase, K.2
  • 7
    • 79955836516 scopus 로고    scopus 로고
    • On efficient learning machine with root power mean neuron in complex domain
    • Tripathi B.K., Kalra P.K. On efficient learning machine with root power mean neuron in complex domain. IEEE Trans. Neural Networks 2011, 22(5):727-738.
    • (2011) IEEE Trans. Neural Networks , vol.22 , Issue.5 , pp. 727-738
    • Tripathi, B.K.1    Kalra, P.K.2
  • 9
    • 84875905150 scopus 로고    scopus 로고
    • Global stability of complex-valued recurrent neural networks with time-delays
    • Hu J., Wang J. Global stability of complex-valued recurrent neural networks with time-delays. IEEE Trans. Neural Networks Learn. Syst. 2012, 23(6):853-865.
    • (2012) IEEE Trans. Neural Networks Learn. Syst. , vol.23 , Issue.6 , pp. 853-865
    • Hu, J.1    Wang, J.2
  • 10
    • 44349154111 scopus 로고    scopus 로고
    • Global dynamics of a class of complex valued neural networks
    • Rao V.S.H., Murthy G.R. Global dynamics of a class of complex valued neural networks. Int. J. Neural Syst. 2009, 18(2):165-171.
    • (2009) Int. J. Neural Syst. , vol.18 , Issue.2 , pp. 165-171
    • Rao, V.S.H.1    Murthy, G.R.2
  • 11
    • 77956738029 scopus 로고    scopus 로고
    • Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons, Discrete
    • [Article ID 368379].
    • C.J. Duan, Q.K. Song, Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons, Discrete Dyn. Nat. Soc. 2010 (2010) [Article ID 368379, 19 pp.].
    • (2010) Dyn. Nat. Soc. 2010 , pp. 19
    • Duan, C.J.1    Song, Q.K.2
  • 12
    • 69649088632 scopus 로고    scopus 로고
    • Discrete-time recurrent neural networks with complex-valued linear threshold neurons
    • Zhou W., Zurada J.M. Discrete-time recurrent neural networks with complex-valued linear threshold neurons. IEEE Trans. Circuits Syst. II. Express Briefs 2009, 56(8):669-673.
    • (2009) IEEE Trans. Circuits Syst. II. Express Briefs , vol.56 , Issue.8 , pp. 669-673
    • Zhou, W.1    Zurada, J.M.2
  • 13
    • 69249221545 scopus 로고    scopus 로고
    • A class of discrete time recurrent neural networks with multivalued neurons
    • Zhou W., Zurada J.M. A class of discrete time recurrent neural networks with multivalued neurons. Neurocomputing 2009, 72(16-18):3782-3788.
    • (2009) Neurocomputing , vol.72 , Issue.16-18 , pp. 3782-3788
    • Zhou, W.1    Zurada, J.M.2
  • 14
    • 30644469165 scopus 로고    scopus 로고
    • A new approach to exponential stability analysis of neural networks with time-varying delays
    • Xu S.Y., Lam J. A new approach to exponential stability analysis of neural networks with time-varying delays. Neural Networks 2006, 19(1):76-83.
    • (2006) Neural Networks , vol.19 , Issue.1 , pp. 76-83
    • Xu, S.Y.1    Lam, J.2
  • 15
    • 84860321993 scopus 로고    scopus 로고
    • Robust stability analysis of a class of neural networks with discrete time delays
    • O. Faydasicok, S. Arik, Robust stability analysis of a class of neural networks with discrete time delays, Neural Networks (29-30) (2012) 52-59.
    • (2012) Neural Networks , vol.29-30 , pp. 52-59
    • Faydasicok, O.1    Arik, S.2
  • 16
    • 84861193650 scopus 로고    scopus 로고
    • Dynamical stability analysis of multiple equilibrium points in time-varying delayed recurrent neural networks with discontinuous activation functions
    • Huang Y.J., Zhang H.G., Wang Z.S. Dynamical stability analysis of multiple equilibrium points in time-varying delayed recurrent neural networks with discontinuous activation functions. Neurocomputing 2012, 91:21-28.
    • (2012) Neurocomputing , vol.91 , pp. 21-28
    • Huang, Y.J.1    Zhang, H.G.2    Wang, Z.S.3
  • 17
    • 56449106923 scopus 로고    scopus 로고
    • Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach
    • Song Q.K. Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach. Neurocomputing 2008, 71:2823-2830.
    • (2008) Neurocomputing , vol.71 , pp. 2823-2830
    • Song, Q.K.1
  • 18
    • 73949132376 scopus 로고    scopus 로고
    • Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay
    • Zhang H.G., Liu Z.W., Huang G.B., Wang Z.S. Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay. IEEE Trans. Neural Networks 2010, 21(1):91-106.
    • (2010) IEEE Trans. Neural Networks , vol.21 , Issue.1 , pp. 91-106
    • Zhang, H.G.1    Liu, Z.W.2    Huang, G.B.3    Wang, Z.S.4
  • 19
    • 58249090775 scopus 로고    scopus 로고
    • Asymptotic stability for neural networks with mixed time delays. the discrete-time case
    • Liu Y.R., Wang Z.D., Liu X.H. Asymptotic stability for neural networks with mixed time delays. the discrete-time case. Neural Networks 2009, 22(1):67-74.
    • (2009) Neural Networks , vol.22 , Issue.1 , pp. 67-74
    • Liu, Y.R.1    Wang, Z.D.2    Liu, X.H.3
  • 20
    • 77956061263 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with time-varying delays. the discrete-time case
    • Raja R., Anthoni S.M. Global exponential stability of BAM neural networks with time-varying delays. the discrete-time case. Commun. Nonlinear Sci. Numer. Simulation 2011, 16(2):613-622.
    • (2011) Commun. Nonlinear Sci. Numer. Simulation , vol.16 , Issue.2 , pp. 613-622
    • Raja, R.1    Anthoni, S.M.2
  • 21
    • 77955513608 scopus 로고    scopus 로고
    • Multistability of recurrent neural networks with time-varying delays and the piecewise linear activation function
    • Zeng Z.G., Huang T.W., Zheng W.X. Multistability of recurrent neural networks with time-varying delays and the piecewise linear activation function. IEEE Trans. Neural Networks 2010, 21(8):1371-1377.
    • (2010) IEEE Trans. Neural Networks , vol.21 , Issue.8 , pp. 1371-1377
    • Zeng, Z.G.1    Huang, T.W.2    Zheng, W.X.3
  • 22
    • 33745158646 scopus 로고    scopus 로고
    • Robust stability for stochastic Hopfield neural networks with time delays
    • Wang Z.D., Shu H.S., Fang J.A., Liu X.H. Robust stability for stochastic Hopfield neural networks with time delays. Nonlinear Anal. Real World Appl. 2006, 7(5):1119-1128.
    • (2006) Nonlinear Anal. Real World Appl. , vol.7 , Issue.5 , pp. 1119-1128
    • Wang, Z.D.1    Shu, H.S.2    Fang, J.A.3    Liu, X.H.4
  • 23
    • 34248655704 scopus 로고    scopus 로고
    • Global asymptotic stability of delayed cellular neural networks
    • Zhang H.G., Wang Z.S. Global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Networks 2007, 18(3):947-950.
    • (2007) IEEE Trans. Neural Networks , vol.18 , Issue.3 , pp. 947-950
    • Zhang, H.G.1    Wang, Z.S.2
  • 24
    • 84951604495 scopus 로고
    • Analysis on measure chains-a unified approach to continuous and discrete calculus
    • Hilger S. Analysis on measure chains-a unified approach to continuous and discrete calculus. Results Math. 1990, 18:18-56.
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 26
    • 0003749497 scopus 로고    scopus 로고
    • Dynamic Equations on Time Scales an Introduction with Applications
    • Birkhäuser, Boston
    • M. Bohner, A. Peterson, Dynamic Equations on Time Scales an Introduction with Applications, Birkhäuser, Boston 2001.
    • (2001)
    • Bohner, M.1    Peterson, A.2
  • 27
    • 33847745305 scopus 로고    scopus 로고
    • A new analytical method for the linearization of dynamic equation on measure chains
    • Xia Y.H., Cao J.D., Han M.A. A new analytical method for the linearization of dynamic equation on measure chains. J. Differential Equations 2007, 235(2):527-543.
    • (2007) J. Differential Equations , vol.235 , Issue.2 , pp. 527-543
    • Xia, Y.H.1    Cao, J.D.2    Han, M.A.3
  • 28
    • 56549128086 scopus 로고    scopus 로고
    • Global exponential stability of delayed BAM network on time scale
    • Chen A.P., Du D.J. Global exponential stability of delayed BAM network on time scale. Neurocomputing 2008, 71(16-18):3582-3588.
    • (2008) Neurocomputing , vol.71 , Issue.16-18 , pp. 3582-3588
    • Chen, A.P.1    Du, D.J.2
  • 29
    • 70350733462 scopus 로고    scopus 로고
    • Periodic solution to BAM neural network with delays on time scales
    • Chen A.P., Chen F.L. Periodic solution to BAM neural network with delays on time scales. Neurocomputing 2009, 73(1-3):274-282.
    • (2009) Neurocomputing , vol.73 , Issue.1-3 , pp. 274-282
    • Chen, A.P.1    Chen, F.L.2
  • 30
    • 80052934588 scopus 로고    scopus 로고
    • Global exponential stability of neural networks with discrete and distributed delays and general activation functions on time scales
    • Zhou B., Song Q.K., Wang H.W. Global exponential stability of neural networks with discrete and distributed delays and general activation functions on time scales. Neurocomputing 2011, 74(17):3142-3150.
    • (2011) Neurocomputing , vol.74 , Issue.17 , pp. 3142-3150
    • Zhou, B.1    Song, Q.K.2    Wang, H.W.3
  • 31
    • 74849094906 scopus 로고    scopus 로고
    • Global exponential stability for impulsive BAM neural networks with distributed delays on time scales
    • Li Y.K., Shan G. Global exponential stability for impulsive BAM neural networks with distributed delays on time scales. Neural Process. Lett. 2010, 31(1):65-91.
    • (2010) Neural Process. Lett. , vol.31 , Issue.1 , pp. 65-91
    • Li, Y.K.1    Shan, G.2
  • 32
    • 73949093713 scopus 로고    scopus 로고
    • Global exponential stability of fuzzy interval delayed neural networks with impulse on time scales
    • Li Y.K., Zhang T.W. Global exponential stability of fuzzy interval delayed neural networks with impulse on time scales. Int. J. Neural Syst. 2009, 19(6):449-456.
    • (2009) Int. J. Neural Syst. , vol.19 , Issue.6 , pp. 449-456
    • Li, Y.K.1    Zhang, T.W.2
  • 33
    • 79954423124 scopus 로고    scopus 로고
    • Robust stability of delayed reaction-diffusion recurrent neural networks with Dirichlet boundary conditions on time scales
    • Li Y.K., Zhao K.H. Robust stability of delayed reaction-diffusion recurrent neural networks with Dirichlet boundary conditions on time scales. Neurocomputing 2011, 74(10):1632-1637.
    • (2011) Neurocomputing , vol.74 , Issue.10 , pp. 1632-1637
    • Li, Y.K.1    Zhao, K.H.2
  • 34
    • 84859707632 scopus 로고    scopus 로고
    • Global stability of complex-valued neural networks on time scales
    • Bohner M., Rao V.S.H., Sanyal S. Global stability of complex-valued neural networks on time scales. Differential Equations Dyn. Syst. 2011, 19(1-2):3-11.
    • (2011) Differential Equations Dyn. Syst. , vol.19 , Issue.1-2 , pp. 3-11
    • Bohner, M.1    Rao, V.S.H.2    Sanyal, S.3
  • 35
    • 33750380388 scopus 로고    scopus 로고
    • Leakage delays in BAM
    • Gopalsamy K. Leakage delays in BAM. J. Math. Anal. Appl. 2007, 325(2):1117-1132.
    • (2007) J. Math. Anal. Appl. , vol.325 , Issue.2 , pp. 1117-1132
    • Gopalsamy, K.1
  • 36
    • 64149089394 scopus 로고    scopus 로고
    • On the stability of nonlinear systems with leakage delay
    • Li C.D., Huang T.W. On the stability of nonlinear systems with leakage delay. J. Franklin Inst. 2009, 346(4):366-377.
    • (2009) J. Franklin Inst. , vol.346 , Issue.4 , pp. 366-377
    • Li, C.D.1    Huang, T.W.2
  • 37
    • 84855813770 scopus 로고    scopus 로고
    • Passivity of uncertain neural networks with both leakage delay and time-varying delay
    • Song Q.K., Cao J.D. Passivity of uncertain neural networks with both leakage delay and time-varying delay. Nonlinear Dyn. 2012, 67(2):1695-1707.
    • (2012) Nonlinear Dyn. , vol.67 , Issue.2 , pp. 1695-1707
    • Song, Q.K.1    Cao, J.D.2
  • 38
    • 77950917878 scopus 로고    scopus 로고
    • Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms
    • Peng S. Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms. Nonlinear Anal. Real World Appl. 2010, 11(3):2141-2151.
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , Issue.3 , pp. 2141-2151
    • Peng, S.1
  • 39
    • 77953835896 scopus 로고    scopus 로고
    • Delay-dependent stability of neural networks of neutral type with time delay in the leakage term
    • Li X.D., Cao J.D. Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Nonlinearity 2010, 23(7):1709-1726.
    • (2010) Nonlinearity , vol.23 , Issue.7 , pp. 1709-1726
    • Li, X.D.1    Cao, J.D.2
  • 40
    • 0034439996 scopus 로고    scopus 로고
    • An integral inequality in the stability problem of time-delay systems
    • Proceedings of the IEEE CDC Australia
    • K.Q. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of the IEEE CDC Australia, 2000, pp. 2805-2810.
    • (2000) , pp. 2805-2810
    • Gu, K.Q.1


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