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Volumn 133, Issue , 2014, Pages 385-398

Exponential synchronization of Markovian jumping neural networks with partly unknown transition probabilities via stochastic sampled-data control

Author keywords

Combined convex technique; Exponential synchronization; Markov jump systems; Sampled data control; Stochastic sampling

Indexed keywords

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; PROBABILITY; STABILITY CRITERIA; STOCHASTIC SYSTEMS;

EID: 84894596577     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2013.12.039     Document Type: Article
Times cited : (57)

References (50)
  • 2
    • 0024088955 scopus 로고    scopus 로고
    • Cellular neural networks. theory and applications
    • Chua L., Yang L. Cellular neural networks. theory and applications. IEEE Trans. Circ. Syst. I 1998, 35:1257-1290.
    • (1998) IEEE Trans. Circ. Syst. I , vol.35 , pp. 1257-1290
    • Chua, L.1    Yang, L.2
  • 4
    • 0036647562 scopus 로고    scopus 로고
    • LMI-based approach for asymptotically stability analysis of delayed neural networks
    • Liao X.F., Chen G., Sanchez E.N. LMI-based approach for asymptotically stability analysis of delayed neural networks. IEEE Trans. Circ. Syst. I Fundam. Theory Appl. 2002, 49:1033-1039.
    • (2002) IEEE Trans. Circ. Syst. I Fundam. Theory Appl. , vol.49 , pp. 1033-1039
    • Liao, X.F.1    Chen, G.2    Sanchez, E.N.3
  • 5
    • 1242331018 scopus 로고    scopus 로고
    • A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks
    • Singh V. A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Netw. 2004, 15:223-225.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , pp. 223-225
    • Singh, V.1
  • 6
    • 64149089394 scopus 로고    scopus 로고
    • On the stability of nonlinear systems with leakage delay
    • Li C., Huang T. On the stability of nonlinear systems with leakage delay. J. Frankl. Inst. 2009, 346:366-377.
    • (2009) J. Frankl. Inst. , vol.346 , pp. 366-377
    • Li, C.1    Huang, T.2
  • 7
    • 43049088745 scopus 로고    scopus 로고
    • Exponential synchronization of complex networks with Markovian jump and mixed delays
    • Liu Y., Wang Z., Liu X. Exponential synchronization of complex networks with Markovian jump and mixed delays. Phys. Lett. A 2008, 372:3986-3998.
    • (2008) Phys. Lett. A , vol.372 , pp. 3986-3998
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 8
    • 67949117118 scopus 로고    scopus 로고
    • Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays
    • Liu Y., Wang Z., Liang J., Liu X. Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays. IEEE Trans. Neural Netw. 2009, 20:1102-1116.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , pp. 1102-1116
    • Liu, Y.1    Wang, Z.2    Liang, J.3    Liu, X.4
  • 9
    • 40549140470 scopus 로고    scopus 로고
    • Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays
    • Zhang H., Wang Y. Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Netw. 2008, 19:366-370.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , pp. 366-370
    • Zhang, H.1    Wang, Y.2
  • 10
    • 77955510720 scopus 로고    scopus 로고
    • Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
    • Zhu Q., Cao J. Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Netw. 2010, 21:1314-1325.
    • (2010) IEEE Trans. Neural Netw. , vol.21 , pp. 1314-1325
    • Zhu, Q.1    Cao, J.2
  • 11
    • 77956618024 scopus 로고    scopus 로고
    • Delay dependent stability results for fuzzy BAM neural networks with Markovian jumping parameters
    • Balasubramaniam P., Rakkiyappan R., Sathy R. Delay dependent stability results for fuzzy BAM neural networks with Markovian jumping parameters. Expert Syst. Appl. 2011, 38:121-130.
    • (2011) Expert Syst. Appl. , vol.38 , pp. 121-130
    • Balasubramaniam, P.1    Rakkiyappan, R.2    Sathy, R.3
  • 12
    • 79957881211 scopus 로고    scopus 로고
    • Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term
    • Balasubramaniam P., Nagamani G., Rakkiyappan R. Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term. Commun. Nonlin. Sci. Numer. Simul. 2011, 16:4422-4437.
    • (2011) Commun. Nonlin. Sci. Numer. Simul. , vol.16 , pp. 4422-4437
    • Balasubramaniam, P.1    Nagamani, G.2    Rakkiyappan, R.3
  • 13
    • 79959555276 scopus 로고    scopus 로고
    • ∞ filtering of Markovian jump stochastic systems with uncertain transition probabilities
    • ∞ filtering of Markovian jump stochastic systems with uncertain transition probabilities. Int. J. Syst. Sci. 2011, 42:1219-1230.
    • (2011) Int. J. Syst. Sci. , vol.42 , pp. 1219-1230
    • Yao, X.1    Wu, L.2    Zheng, W.X.3    Wang, C.4
  • 16
    • 58349098590 scopus 로고    scopus 로고
    • Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities
    • Zhang L., Boukas E. Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities. Automatica 2009, 45:463-468.
    • (2009) Automatica , vol.45 , pp. 463-468
    • Zhang, L.1    Boukas, E.2
  • 17
    • 67649207216 scopus 로고    scopus 로고
    • ∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities
    • ∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities. Int. J. Robust Nonlinear Control 2009, 19:868-883.
    • (2009) Int. J. Robust Nonlinear Control , vol.19 , pp. 868-883
    • Zhang, L.1    Boukas, E.2
  • 18
    • 67349252784 scopus 로고    scopus 로고
    • ∞ filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities
    • ∞ filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities. Automatica 2009, 45:1462-1467.
    • (2009) Automatica , vol.45 , pp. 1462-1467
    • Zhang, L.1    Boukas, E.2
  • 19
    • 80052917222 scopus 로고    scopus 로고
    • Stability and synchronization for Markovian jump neural networks with partly unknown transition probabilities
    • Ma Q., Xu S., Zou Y. Stability and synchronization for Markovian jump neural networks with partly unknown transition probabilities. Neurocomputing 2011, 74:3404-3411.
    • (2011) Neurocomputing , vol.74 , pp. 3404-3411
    • Ma, Q.1    Xu, S.2    Zou, Y.3
  • 20
    • 80052955124 scopus 로고    scopus 로고
    • Stabilization for Markovian jump nonlinear systems with partly unknown transition probabilities via fuzzy control
    • Sheng L., Gao M. Stabilization for Markovian jump nonlinear systems with partly unknown transition probabilities via fuzzy control. Fuzzy Sets Syst. 2010, 161:2780-2792.
    • (2010) Fuzzy Sets Syst. , vol.161 , pp. 2780-2792
    • Sheng, L.1    Gao, M.2
  • 21
    • 84876551880 scopus 로고    scopus 로고
    • L2-L∞ Filtering for neutral Markovian switching system with mode-dependent time-varying delays and partially unknown transition probabilities
    • Balasubramaniam P., Revathi V.M., Park Ju H. L2-L∞ Filtering for neutral Markovian switching system with mode-dependent time-varying delays and partially unknown transition probabilities. Appl. Math. Comput. 2013, 219:9524-9542.
    • (2013) Appl. Math. Comput. , vol.219 , pp. 9524-9542
    • Balasubramaniam, P.1    Revathi, V.M.2    Park, J.H.3
  • 23
    • 84873429063 scopus 로고    scopus 로고
    • Stabilizing and synchronizing the Markovian jumping neural networks with mode-dependent mixed delays based on quantized state feedback
    • Cui W., Fangn J., Zhang W. Stabilizing and synchronizing the Markovian jumping neural networks with mode-dependent mixed delays based on quantized state feedback. J. Frankl. Inst. 2013, 350:275-299.
    • (2013) J. Frankl. Inst. , vol.350 , pp. 275-299
    • Cui, W.1    Fangn, J.2    Zhang, W.3
  • 24
    • 84867867642 scopus 로고    scopus 로고
    • Adaptive synchronization for stochastic neural networks of neutral-type with mixed time-delays
    • Zhu Q., Zhou W., Tong D., Fang J. Adaptive synchronization for stochastic neural networks of neutral-type with mixed time-delays. Neurocomputing 2013, 99:477-485.
    • (2013) Neurocomputing , vol.99 , pp. 477-485
    • Zhu, Q.1    Zhou, W.2    Tong, D.3    Fang, J.4
  • 25
    • 0033884559 scopus 로고    scopus 로고
    • Stability analysis of digital feedback control systems with time-varying sampling periods
    • Hu B., Michel A.N. Stability analysis of digital feedback control systems with time-varying sampling periods. Automatica 2000, 36:897-905.
    • (2000) Automatica , vol.36 , pp. 897-905
    • Hu, B.1    Michel, A.N.2
  • 26
    • 0037210871 scopus 로고    scopus 로고
    • Integral control by variable sampling based on steady-state data
    • Ozdemir N., Townley T. Integral control by variable sampling based on steady-state data. Automatica 2003, 39:135-140.
    • (2003) Automatica , vol.39 , pp. 135-140
    • Ozdemir, N.1    Townley, T.2
  • 27
    • 84871407704 scopus 로고    scopus 로고
    • Stochastic stability of networked control systems with time-varying sampling periods
    • Li Y., Zhang Q., Jing C. Stochastic stability of networked control systems with time-varying sampling periods. Int. J. Inf. Syst. Sci. 2009, 5:494-502.
    • (2009) Int. J. Inf. Syst. Sci. , vol.5 , pp. 494-502
    • Li, Y.1    Zhang, Q.2    Jing, C.3
  • 28
    • 2942517991 scopus 로고    scopus 로고
    • Robust sampled-data stabilization of linear systems. an input delay approach
    • Fridman E., Seuret A., Richard J.P. Robust sampled-data stabilization of linear systems. an input delay approach. Automatica 2004, 40:1441-1446.
    • (2004) Automatica , vol.40 , pp. 1441-1446
    • Fridman, E.1    Seuret, A.2    Richard, J.P.3
  • 30
    • 84867689582 scopus 로고    scopus 로고
    • Exponential synchronization for complex dynamical networks with sampled-data
    • Wu Z.G., Park J.H., Su H., Song B., Chu J. Exponential synchronization for complex dynamical networks with sampled-data. J. Frankl. Inst. 2012, 349:2735-2749.
    • (2012) J. Frankl. Inst. , vol.349 , pp. 2735-2749
    • Wu, Z.G.1    Park, J.H.2    Su, H.3    Song, B.4    Chu, J.5
  • 31
    • 84866893199 scopus 로고    scopus 로고
    • Sampled-data synchronization control of dynamical networks with stochastic sampling
    • Shen B., Wang Z., Liu X. Sampled-data synchronization control of dynamical networks with stochastic sampling. IEEE Trans. Autom. control 2012, 57:2644-2650.
    • (2012) IEEE Trans. Autom. control , vol.57 , pp. 2644-2650
    • Shen, B.1    Wang, Z.2    Liu, X.3
  • 32
    • 78649452605 scopus 로고    scopus 로고
    • Exponential synchronization of neural networks with time-varying mixed delays and sampled data
    • Zhang C., He Y., Wu M. Exponential synchronization of neural networks with time-varying mixed delays and sampled data. Neurocomputing 2010, 74:265-273.
    • (2010) Neurocomputing , vol.74 , pp. 265-273
    • Zhang, C.1    He, Y.2    Wu, M.3
  • 34
    • 84879781222 scopus 로고    scopus 로고
    • Sampled-data state estimation for delayed neural networks with Markovian jumping parameters
    • Hu J., Li N., Liu X., Zhang G. Sampled-data state estimation for delayed neural networks with Markovian jumping parameters. Nonlinear Dyn. 2013, 73:275-284.
    • (2013) Nonlinear Dyn. , vol.73 , pp. 275-284
    • Hu, J.1    Li, N.2    Liu, X.3    Zhang, G.4
  • 35
    • 78650752830 scopus 로고    scopus 로고
    • Synchronization for general complex dynamical networks with sampled-data
    • Li N., Zhang Y., Hu J., Nie Z. Synchronization for general complex dynamical networks with sampled-data. Neurocomputing 2011, 74:805-811.
    • (2011) Neurocomputing , vol.74 , pp. 805-811
    • Li, N.1    Zhang, Y.2    Hu, J.3    Nie, Z.4
  • 36
    • 84861749747 scopus 로고    scopus 로고
    • Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control
    • Gan Q., Liang Y. Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control. J. Frankl. Inst. 2012, 349:1955-1971.
    • (2012) J. Frankl. Inst. , vol.349 , pp. 1955-1971
    • Gan, Q.1    Liang, Y.2
  • 38
  • 39
    • 84878379928 scopus 로고    scopus 로고
    • Stochastic sampled-data control for state estimation of time-varying delayed neural networks
    • Lee T.H., Park JuH., Kwon O.M., Lee S.M. Stochastic sampled-data control for state estimation of time-varying delayed neural networks. Neural Netw. 2013, 46:99-108.
    • (2013) Neural Netw. , vol.46 , pp. 99-108
    • Lee, T.H.1    Park, J.2    Kwon, O.M.3    Lee, S.M.4
  • 40
    • 84871428495 scopus 로고    scopus 로고
    • Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control
    • Lee T.H., Park Ju H., Lee S.M., Kwon O.M. Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control. Int. J. Control 2013, 86:107-119.
    • (2013) Int. J. Control , vol.86 , pp. 107-119
    • Lee, T.H.1    Park, J.H.2    Lee, S.M.3    Kwon, O.M.4
  • 41
    • 67349262016 scopus 로고    scopus 로고
    • ∞ control with stochastic sampling
    • ∞ control with stochastic sampling. Automatica 2009, 45:1729-1736.
    • (2009) Automatica , vol.45 , pp. 1729-1736
    • Gao, H.1    Wu, J.2    Shi, P.3
  • 42
    • 78650807125 scopus 로고    scopus 로고
    • Reciprocally convex approach to stability of systems with time-varying delays
    • Park P., Ko J.W., Jeong C. Reciprocally convex approach to stability of systems with time-varying delays. Automatica 2011, 47:235-238.
    • (2011) Automatica , vol.47 , pp. 235-238
    • Park, P.1    Ko, J.W.2    Jeong, C.3
  • 43
    • 77956633758 scopus 로고    scopus 로고
    • ∞ stabilisation of networked control systems with packet analyser
    • ∞ stabilisation of networked control systems with packet analyser. IET Control Theory Appl. 2010, 4:1828-1837.
    • (2010) IET Control Theory Appl. , vol.4 , pp. 1828-1837
    • Kim, S.H.1    Park, P.G.2    Jeong, C.3
  • 44
    • 84868204716 scopus 로고    scopus 로고
    • Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling
    • Wu Z.-G., Shi P., Su H., Chu J. Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling. IEEE Trans. Neural Netw. Learn. Syst. 2012, 23:1368-1376.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , pp. 1368-1376
    • Wu, Z.-G.1    Shi, P.2    Su, H.3    Chu, J.4
  • 45
    • 84862787986 scopus 로고    scopus 로고
    • Exponential synchronization for delayed chaotic neural networks with nonlinear hybrid coupling
    • Zhang G., Wan T., Li T., Fei S. Exponential synchronization for delayed chaotic neural networks with nonlinear hybrid coupling. Neurocomputing 2012, 85:53-61.
    • (2012) Neurocomputing , vol.85 , pp. 53-61
    • Zhang, G.1    Wan, T.2    Li, T.3    Fei, S.4
  • 46
    • 84879779957 scopus 로고    scopus 로고
    • Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled data
    • Wu Z.-G., Shi P., Su H., Chu J. Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled data. IEEE Trans. Cybern. 2012, 43:1796-1806.
    • (2012) IEEE Trans. Cybern. , vol.43 , pp. 1796-1806
    • Wu, Z.-G.1    Shi, P.2    Su, H.3    Chu, J.4
  • 47
    • 84860430838 scopus 로고    scopus 로고
    • New approaches on stability criteria for neural networks with interval time-varying delays
    • Kwon O.M., Lee S.M., Park Ju H., Cha E.J. New approaches on stability criteria for neural networks with interval time-varying delays. Appl. Math. Comput. 2012, 218:9953-9964.
    • (2012) Appl. Math. Comput. , vol.218 , pp. 9953-9964
    • Kwon, O.M.1    Lee, S.M.2    Park, J.H.3    Cha, E.J.4
  • 48
    • 79959199278 scopus 로고    scopus 로고
    • Improved delay-dependent stability criterion for neural networks with time-varying delay
    • Tian J.K., Zhong S.M. Improved delay-dependent stability criterion for neural networks with time-varying delay. Appl. Math. Comput. 2011, 217:10278-10288.
    • (2011) Appl. Math. Comput. , vol.217 , pp. 10278-10288
    • Tian, J.K.1    Zhong, S.M.2
  • 49
    • 61849107371 scopus 로고    scopus 로고
    • On the exponential synchronization of stochastic jumping chaotic neural networks with mixed delays and sector-bounded non-linearities
    • Tang Y., Fang J., Miao Q. On the exponential synchronization of stochastic jumping chaotic neural networks with mixed delays and sector-bounded non-linearities. Neurocomputing 2009, 72:1694-1701.
    • (2009) Neurocomputing , vol.72 , pp. 1694-1701
    • Tang, Y.1    Fang, J.2    Miao, Q.3


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