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Volumn 44, Issue 2, 2013, Pages 252-264

Robust stability of Markovian jump discrete-time neural networks with partly unknown transition probabilities and mixed mode-dependent delays

Author keywords

Discrete time recurrent neural networks; Markovian jump systems; Mixed time delays; Partly unknown transition probabilities; Robust stability

Indexed keywords

DISCRETE AND DISTRIBUTED DELAYS; DISCRETE TIME RECURRENT NEURAL NETWORK; DISCRETE-TIME NEURAL NETWORKS; LINEAR MATRIX INEQUALITY APPROACH; LYAPUNOV FUNCTIONALS; MARKOVIAN JUMP SYSTEMS; MARKOVIAN JUMPS; MODE-DEPENDENT TIME DELAYS; NUMERICAL EXAMPLE; ROBUST STABILITY; TRANSITION PROBABILITIES; UNDERLYING SYSTEMS;

EID: 84870588089     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721.2011.600472     Document Type: Article
Times cited : (8)

References (32)
  • 1
    • 67549137666 scopus 로고    scopus 로고
    • Delay-dependent robust stability analysis for markovian jumping stochastic cohen-grossberg neural networks with discrete interval and distributed time-varying delays
    • Balasubramaniam, P, and, Rakkiyappan, R. 2009. Delay-dependent Robust Stability Analysis for Markovian Jumping Stochastic Cohen-grossberg Neural Networks with Discrete Interval and Distributed Time-varying Delays. Nonlinear Analysis: Hybrid Systems, 3: 207-214.
    • (2009) Nonlinear Analysis: Hybrid Systems , vol.3 , pp. 207-214
    • Balasubramaniam, P.1    Rakkiyappan, R.2
  • 2
    • 33947139816 scopus 로고    scopus 로고
    • Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays
    • DOI 10.1109/TNN.2006.881488
    • Cao, J, Yuan, K, and, Li, H. 2006. Global Asymptotical Stability of Recurrent Neural Networks with Multiple Discrete Delays and Distributed Delays. IEEE Transactions on Neural Networks, 17: 1646-1651. (Pubitemid 44824277)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.6 , pp. 1646-1651
    • Cao, J.1    Yuan, K.2    Li, H.-X.3
  • 3
    • 55549126494 scopus 로고    scopus 로고
    • Global robust exponential stability of discrete-time interval bam neural networks with time-varying delays
    • Gao, M, and, Cui, B. 2009. Global Robust Exponential Stability of Discrete-time Interval BAM Neural Networks with Time-varying Delays. Applied Mathematical Modelling, 33: 1270-1284.
    • (2009) Applied Mathematical Modelling , vol.33 , pp. 1270-1284
    • Gao, M.1    Cui, B.2
  • 4
    • 46649098670 scopus 로고    scopus 로고
    • Robust exponential stability of markovian jumping neural networks with time-varying delay
    • Gao, M, Cui, B, and, Lou, X. 2008. Robust Exponential Stability of Markovian Jumping Neural Networks with Time-varying Delay. International Journal of Neural Systems, 18: 207-218.
    • (2008) International Journal of Neural Systems , vol.18 , pp. 207-218
    • Gao, M.1    Cui, B.2    Lou, X.3
  • 5
    • 77958589171 scopus 로고    scopus 로고
    • Robust stability of uncertain markovian jump discrete-time recurrent neural networks with time delays
    • Gao, M, Sheng, L, and, Cui, B. 2010. Robust Stability of Uncertain Markovian Jump Discrete-time Recurrent Neural Networks with Time Delays. International Journal of Systems Science, 41: 1525-1536.
    • (2010) International Journal of Systems Science , vol.41 , pp. 1525-1536
    • Gao, M.1    Sheng, L.2    Cui, B.3
  • 6
    • 60649112464 scopus 로고    scopus 로고
    • Dynamic output feedback control of discrete-time markov jump linear systems through linear matrix inequalities
    • Geromel, JC, Goncalves, APC, and, Fioravanti, AR. 2009. Dynamic Output Feedback Control of Discrete-time Markov Jump Linear Systems Through Linear Matrix Inequalities. SIAM Journal of Control and Optimization, 48: 573-593.
    • (2009) SIAM Journal of Control and Optimization , vol.48 , pp. 573-593
    • Geromel, J.C.1    Goncalves, A.P.C.2    Fioravanti, A.R.3
  • 7
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delay
    • DOI 10.1109/TCSII.2006.876385
    • He, Y, Wu, M, and, She, J. 2006. Delay-dependent Exponential Stability of Delayed Neural Networks with Time-varying Delay. IEEE Transactions on Circuits and Systems-II, 53: 553-557. (Pubitemid 44111522)
    • (2006) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.53 , Issue.7 , pp. 553-557
    • He, Y.1    Wu, M.2    She, J.-H.3
  • 8
    • 33750432509 scopus 로고    scopus 로고
    • Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems
    • DOI 10.1016/j.automatica.2006.07.002, PII S0005109806002810
    • Karan, M, Shi, P, and, Kaya, C. 2006. Transition Probability Bounds for the Stochastic Stability Robustness of Continuous- and Discrete-time Markovian Jump Linear Systems. Automatica, 42: 2159-2168. (Pubitemid 44647194)
    • (2006) Automatica , vol.42 , Issue.12 , pp. 2159-2168
    • Karan, M.1    Shi, P.2    Kaya, C.Y.3
  • 9
    • 2442601691 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays
    • Liang, J, and, Cao, J. 2004. Exponential Stability of Continuous-time and Discrete-time Bidirectional Associative Memory Networks with Delays. Chaos, Solitons and Fractals, 22: 773-785.
    • (2004) Chaos, Solitons and Fractals , vol.22 , pp. 773-785
    • Liang, J.1    Cao, J.2
  • 10
    • 70349466604 scopus 로고    scopus 로고
    • Robust synchronisation of delayed neural networks with both linear and non-linear couplings
    • Liang, J, Wang, Z, and, Li, P. 2009. Robust Synchronisation of Delayed Neural Networks with Both Linear and Non-linear Couplings. International Journal of Systems Science, 40: 973-984.
    • (2009) International Journal of Systems Science , vol.40 , pp. 973-984
    • Liang, J.1    Wang, Z.2    Li, P.3
  • 11
    • 1842587731 scopus 로고    scopus 로고
    • Robust stability of interval bidirectional associative memory neural network with time delays
    • Liao, X, and, Wong, K. 2004. Robust Stability of Interval Bidirectional Associative Memory Neural Network with Time Delays. IEEE Transactions on System, Man and Cybernetics, 34: 1142-1154.
    • (2004) IEEE Transactions on System, Man and Cybernetics , vol.34 , pp. 1142-1154
    • Liao, X.1    Wong, K.2
  • 12
    • 52349098268 scopus 로고    scopus 로고
    • Synchronization and state estimation for discrete-time complex networks with disributed delays
    • Liu, Y, Wang, Z, Liang, J, and, Liu, X. 2008a. Synchronization and State Estimation for Discrete-time Complex Networks with Disributed Delays. IEEE Transactions on Systems, Man and Cybernetics, 38: 1314-1325.
    • (2008) IEEE Transactions on Systems, Man and Cybernetics , vol.38 , pp. 1314-1325
    • Liu, Y.1    Wang, Z.2    Liang, J.3    Liu, X.4
  • 13
    • 56049116879 scopus 로고    scopus 로고
    • State estimation for discrete-time markovian jumping neural networks with mixed mode-dependent delays
    • Liu, Y, Wang, Z, and, Liu, X. 2008b. State Estimation for Discrete-time Markovian Jumping Neural Networks with Mixed Mode-dependent Delays. Physics Letters A, 372: 7147-7155.
    • (2008) Physics Letters A , vol.372 , pp. 7147-7155
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 14
    • 58249090775 scopus 로고    scopus 로고
    • Asymptotic stability for neural networks with mixed time-delays: The discrete-time case
    • Liu, Y, Wang, Z, and, Liu, X. 2009. Asymptotic Stability for Neural Networks with Mixed Time-delays: The Discrete-time Case. Neural Networks, 22: 67-74.
    • (2009) Neural Networks , vol.22 , pp. 67-74
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 15
    • 34249020142 scopus 로고    scopus 로고
    • Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays
    • DOI 10.1109/TSMCB.2006.887426
    • Lou, X, and, Cui, B. 2007. Stochastic Exponential Stability for Markovian Jumping BAM Neural Networks with Time-varying Delays. IEEE Transactions on Systems, Man and Cybernetics, 37: 713-719. (Pubitemid 46784604)
    • (2007) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.37 , Issue.3 , pp. 713-719
    • Lou, X.1    Cui, B.2
  • 16
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time cellular neural networks with delays
    • Mohamad, S, and, Gopalsamy, K. 2003. Exponential Stability of Continuous-time and Discrete-time Cellular Neural Networks with Delays. Applied Mathematics and Computation, 135: 17-38.
    • (2003) Applied Mathematics and Computation , vol.135 , pp. 17-38
    • Mohamad, S.1    Gopalsamy, K.2
  • 17
    • 17144364278 scopus 로고    scopus 로고
    • LMI-based criteria for robust stability of Cohen-Grossberg neural networks with delay
    • DOI 10.1016/j.physleta.2005.03.023
    • Rong, L. 2005. LMI-based Criteria for Robust Stability of Cohen-Grossberg Neural Networks with Delay. Physics Letters A, 339: 63-73. (Pubitemid 40517133)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.339 , Issue.1-2 , pp. 63-73
    • Rong, L.1
  • 18
    • 33144459781 scopus 로고    scopus 로고
    • Recurrent neural network as a linear attractor for pattern association
    • DOI 10.1109/TNN.2005.860869
    • Seow, MJ, and, Asari, VK. 2006. Recurrent Neural Network As a Linear Attractor for Pattern Association. IEEE Transactions on Neural Networks, 17: 246-250. (Pubitemid 43263956)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.1 , pp. 246-250
    • Seow, M.-J.1    Asari, V.K.2
  • 20
    • 80052955124 scopus 로고    scopus 로고
    • Stabilization for markovian jump nonlinear systems with partly unknown transition probabilities via fuzzy control
    • Sheng, L, and, Gao, M. 2010. Stabilization for Markovian Jump Nonlinear Systems with Partly Unknown Transition Probabilities via Fuzzy Control. Fuzzy Sets and Systems, 161: 2780-2792.
    • (2010) Fuzzy Sets and Systems , vol.161 , pp. 2780-2792
    • Sheng, L.1    Gao, M.2
  • 21
    • 34547402018 scopus 로고    scopus 로고
    • A delay-dependent lmi approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays
    • Song, Q, and, Wang, Z. 2007. A Delay-dependent LMI Approach to Dynamics Analysis of Discrete-time Recurrent Neural Networks with Time-varying Delays. Physics Letters A, 368: 134-145.
    • (2007) Physics Letters A , vol.368 , pp. 134-145
    • Song, Q.1    Wang, Z.2
  • 23
    • 33646512597 scopus 로고    scopus 로고
    • Stability analysis for stochastic cohen-grossberg neural networks with mixed time delays
    • Wang, Z, Liu, Y, Li, M, and, Liu, X. 2006. Stability Analysis for Stochastic Cohen-grossberg Neural Networks with Mixed Time Delays. IEEE Transactions on Neural Networks, 17: 814-820.
    • (2006) IEEE Transactions on Neural Networks , vol.17 , pp. 814-820
    • Wang, Z.1    Liu, Y.2    Li, M.3    Liu, X.4
  • 24
    • 33747143187 scopus 로고    scopus 로고
    • Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks
    • DOI 10.1109/TCSI.2006.874179
    • Wang, L, and, Xu, Z. 2006. Sufficient and Necessary Conditions for Global Exponential Stability of Discrete-time Recurrent Neural Networks. IEEE Transactions on Circuits and Systems-I, 53: 1373-380. (Pubitemid 44218358)
    • (2006) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.53 , Issue.6 , pp. 1373-1380
    • Wang, L.1    Xu, Z.2
  • 25
    • 77952166462 scopus 로고    scopus 로고
    • State estimation and sliding-mode control of markovian jump singular systems
    • Wu, L, Shi, P, and, Gao, H. 2010. State Estimation and Sliding-mode Control of Markovian Jump Singular Systems. IEEE Transactions on Automatic Control, 55: 1213-1219.
    • (2010) IEEE Transactions on Automatic Control , vol.55 , pp. 1213-1219
    • Wu, L.1    Shi, P.2    Gao, H.3
  • 26
    • 0030108725 scopus 로고    scopus 로고
    • ∞ control of systems with parameter uncertainty
    • ∞ Control of Systems with Parameter Uncertainty. International Journal of Control, 63: 741-750. (Pubitemid 126519393)
    • (1996) International Journal of Control , vol.63 , Issue.4 , pp. 741-750
    • Xie, L.1
  • 27
    • 61549130843 scopus 로고    scopus 로고
    • 2 control of markovian jump systems with uncertain switching probabilities
    • 2 Control of Markovian Jump Systems with Uncertain Switching Probabilities. International Journal of Systems Science, 40: 255-265.
    • (2009) International Journal of Systems Science , vol.40 , pp. 255-265
    • Xiong, J.1    Lam, J.2
  • 28
    • 14844347294 scopus 로고    scopus 로고
    • On robust stabilization of Markovian jump systems with uncertain switching probabilities
    • DOI 10.1016/j.automatica.2004.12.001, PII S0005109805000038
    • Xiong, J, Lam, J, Gao, H, and, Daniel, W. 2005. On Robust Stabilisation of Markovian Jump Systems with Uncertain Switching Probabilities. Automatica, 41: 897-903. (Pubitemid 40352404)
    • (2005) Automatica , vol.41 , Issue.5 , pp. 897-903
    • Xiong, J.1    Lam, J.2    Gao, H.3    Ho, D.W.C.4
  • 29
    • 33947112044 scopus 로고    scopus 로고
    • Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays
    • DOI 10.1109/TSMCB.2006.876819
    • Yuan, K, Cao, J, and, Li, H. 2006. Robust Stability of Switched Cohen-Grossberg Neural Networks with Mixed Time-varying Delays. IEEE Transactions on Systems, Man and Cybernetics, 36: 1356-1363. (Pubitemid 46405766)
    • (2006) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.36 , Issue.6 , pp. 1356-1363
    • Yuan, K.1    Cao, J.2    Li, H.-X.3
  • 30
    • 58349098590 scopus 로고    scopus 로고
    • Stability and stabilisation of markovian jump linear systems with partly unknown transition probabilities
    • Zhang, L, and, Boukas, E. 2009a. Stability and Stabilisation of Markovian Jump Linear Systems with Partly Unknown Transition Probabilities. Automatica, 45: 463-468.
    • (2009) Automatica , vol.45 , pp. 463-468
    • Zhang, L.1    Boukas, E.2
  • 31
    • 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, 45: 1462-1467.
    • (2009) Automatica , vol.45 , pp. 1462-1467
    • Zhang, L.1    Boukas, E.2
  • 32
    • 77954556503 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for analysis and synthesis of markov jump linear systems with incomplete transition descriptions
    • Zhang, L, and, Lam, J. 2010. Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems with Incomplete Transition Descriptions. IEEE Transactions on Automatic Control, 55: 1695-1701.
    • (2010) IEEE Transactions on Automatic Control , vol.55 , pp. 1695-1701
    • Zhang, L.1    Lam, J.2


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