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Volumn 215, Issue 2, 2009, Pages 503-513

Mixed time-delays dependent exponential stability for uncertain stochastic high-order neural networks

Author keywords

Deterministic Uncertain systems; Exponential stability; Linear matrix inequality (LMI); Mixed time delays; Neural networks

Indexed keywords

DETERMINISTIC/UNCERTAIN SYSTEMS; DISTRIBUTED TIME; EXPONENTIAL STABILITY; HIGH-ORDER NEURAL NETWORK; LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV-KRASOVSKII FUNCTIONALS; MIXED TIME-DELAYS; NEW RESULTS; NOVEL TECHNIQUES; NUMERICAL EXAMPLE; TIME-DELAY SYSTEMS; TIME-DELAYS;

EID: 68949131234     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.05.025     Document Type: Article
Times cited : (14)

References (28)
  • 2
    • 0023834038 scopus 로고
    • Higher order associative memories and their optical implementations
    • Psaltis D., Park C.H., and Hong J. Higher order associative memories and their optical implementations. Neural Networks 1 (1988) 143-163
    • (1988) Neural Networks , vol.1 , pp. 143-163
    • Psaltis, D.1    Park, C.H.2    Hong, J.3
  • 3
    • 0029115242 scopus 로고
    • On the training and performance of high-order neural networks
    • Karayiannis N.B., and Venetsanopoulos A.N. On the training and performance of high-order neural networks. Math. Biosci. 129 (1995) 143-168
    • (1995) Math. Biosci. , vol.129 , pp. 143-168
    • Karayiannis, N.B.1    Venetsanopoulos, A.N.2
  • 4
    • 15944408017 scopus 로고    scopus 로고
    • Modified high-order neural network for invariant pattern recognition
    • Artyomov E., and Yadid-Pecht O. Modified high-order neural network for invariant pattern recognition. Pattern Recognit. Lett. 26 (2005) 843-851
    • (2005) Pattern Recognit. Lett. , vol.26 , pp. 843-851
    • Artyomov, E.1    Yadid-Pecht, O.2
  • 5
    • 33947427956 scopus 로고    scopus 로고
    • Further improvement of free-weighting matrices technique for systems with time-varying delay
    • He Y., Wang Q.-G., Xie L., and Lin C. Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Trans. Autom. Control 52 (2007) 293-299
    • (2007) IEEE Trans. Autom. Control , vol.52 , pp. 293-299
    • He, Y.1    Wang, Q.-G.2    Xie, L.3    Lin, C.4
  • 6
    • 55949094327 scopus 로고    scopus 로고
    • ∞ control for uncertain discrete switched singular systems with time-delay
    • ∞ control for uncertain discrete switched singular systems with time-delay. Appl. Math. Comput. 206 (2008) 413-424
    • (2008) Appl. Math. Comput. , vol.206 , pp. 413-424
    • Ma, S.1    Zhang, C.2    Wu, Z.3
  • 7
    • 52049088920 scopus 로고    scopus 로고
    • LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays
    • Rakkiyappan R., and Balasubramaniam P. LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays. Appl. Math. Comput. 204 (2008) 317-324
    • (2008) Appl. Math. Comput. , vol.204 , pp. 317-324
    • Rakkiyappan, R.1    Balasubramaniam, P.2
  • 8
    • 56949105928 scopus 로고    scopus 로고
    • Stability and robust stabilization of discrete-time switched systems with time-delays: LMI approach
    • Ibrir S. Stability and robust stabilization of discrete-time switched systems with time-delays: LMI approach. Appl. Math. Comput. 206 (2008) 570-578
    • (2008) Appl. Math. Comput. , vol.206 , pp. 570-578
    • Ibrir, S.1
  • 9
    • 0030108725 scopus 로고    scopus 로고
    • ∞ control of systems with parameter uncertainty
    • ∞ control of systems with parameter uncertainty. Int. J. Control 63 (1996) 741-750
    • (1996) Int. J. Control , vol.63 , pp. 741-750
    • Xie, L.1
  • 10
    • 10644236158 scopus 로고    scopus 로고
    • Exponential stability of high-order bidirectional associative memory neural networks with time delays
    • Cao J., Liang J., and Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D: Nonlinear Phenom. 199 (2004) 425-436
    • (2004) Physica D: Nonlinear Phenom. , vol.199 , pp. 425-436
    • Cao, J.1    Liang, J.2    Lam, J.3
  • 11
    • 33745126296 scopus 로고    scopus 로고
    • LMI-based criteria for stability of high-order neural networks with time-varying delay
    • Ren F., and Cao J. LMI-based criteria for stability of high-order neural networks with time-varying delay. Nonlinear Anal. Ser. B: Real World Appl. 7 (2006) 967-979
    • (2006) Nonlinear Anal. Ser. B: Real World Appl. , vol.7 , pp. 967-979
    • Ren, F.1    Cao, J.2
  • 12
    • 35348814851 scopus 로고    scopus 로고
    • Global stability of stochastic high-order neural networks with discrete and distributed delays
    • Wang Z., Fang J., and Liu X. Global stability of stochastic high-order neural networks with discrete and distributed delays. Chaos, Solitons & Fractals 36 (2008) 388-396
    • (2008) Chaos, Solitons & Fractals , vol.36 , pp. 388-396
    • Wang, Z.1    Fang, J.2    Liu, X.3
  • 13
    • 0035400754 scopus 로고    scopus 로고
    • Stability of stochastic delay neural networks
    • Blythe S., Mao X., and Liao X. Stability of stochastic delay neural networks. J. Franklin Inst. 338 (2001) 481-495
    • (2001) J. Franklin Inst. , vol.338 , pp. 481-495
    • Blythe, S.1    Mao, X.2    Liao, X.3
  • 14
    • 20444396501 scopus 로고    scopus 로고
    • Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays
    • Huang H., Ho D.W.C., and Lam J. Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays. IEEE Trans. Circ. Syst.: Part II 52 (2005) 251-255
    • (2005) IEEE Trans. Circ. Syst.: Part II , vol.52 , pp. 251-255
    • Huang, H.1    Ho, D.W.C.2    Lam, J.3
  • 15
    • 21744450109 scopus 로고    scopus 로고
    • Mean square exponential stability of stochastic delayed Hopfield neural networks
    • Wan L., and Sun J. Mean square exponential stability of stochastic delayed Hopfield neural networks. Phys. Lett. A 343 (2005) 306-318
    • (2005) Phys. Lett. A , vol.343 , pp. 306-318
    • Wan, L.1    Sun, J.2
  • 16
    • 1842635257 scopus 로고    scopus 로고
    • Dynamics of a two-neuron system with discrete and distributed delays
    • Ruan S., and Filfil R.S. Dynamics of a two-neuron system with discrete and distributed delays. Physica D 191 (2004) 323-342
    • (2004) Physica D , vol.191 , pp. 323-342
    • Ruan, S.1    Filfil, R.S.2
  • 17
    • 0347511634 scopus 로고    scopus 로고
    • Global asymptotic stability of Hopfield neural network involving distributed delays
    • Zhao H. Global asymptotic stability of Hopfield neural network involving distributed delays. Neural Networks 17 (2004) 47-53
    • (2004) Neural Networks , vol.17 , pp. 47-53
    • Zhao, H.1
  • 18
    • 3042800316 scopus 로고    scopus 로고
    • Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays
    • Zhao H. Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays. Appl. Math. Comput. 154 (2004) 683-695
    • (2004) Appl. Math. Comput. , vol.154 , pp. 683-695
    • Zhao, H.1
  • 19
    • 43849110315 scopus 로고    scopus 로고
    • Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays
    • Tang Y., Qiu R., Fang J., Miao Q., and Xia M. Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays. Phys. Lett. A 372 (2008) 4425-4433
    • (2008) Phys. Lett. A , vol.372 , pp. 4425-4433
    • Tang, Y.1    Qiu, R.2    Fang, J.3    Miao, Q.4    Xia, M.5
  • 20
    • 24344504017 scopus 로고    scopus 로고
    • On global asymptotic stability of neural networks with discrete and distributed delays
    • Wang Z., Liu Y., and Liu X. On global asymptotic stability of neural networks with discrete and distributed delays. Phys. Lett. A 345 (2005) 299-308
    • (2005) Phys. Lett. A , vol.345 , pp. 299-308
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 21
    • 33646499073 scopus 로고    scopus 로고
    • Robust stability analysis of generalized neural networks with discrete and distributed time delays
    • Wang Z., Shu H., Liu Y., Ho D.W.C., and Liu X. Robust stability analysis of generalized neural networks with discrete and distributed time delays. Chaos, Solitons & Fractals 30 (2006) 886-896
    • (2006) Chaos, Solitons & Fractals , vol.30 , pp. 886-896
    • Wang, Z.1    Shu, H.2    Liu, Y.3    Ho, D.W.C.4    Liu, X.5
  • 22
    • 33748523502 scopus 로고    scopus 로고
    • Exponential stability of uncertain stochastic neural networks with mixed time-delays
    • Wang Z., Lauria S., Fang J., and Liu X. Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos, Solitons & Fractals 32 (2007) 62-72
    • (2007) Chaos, Solitons & Fractals , vol.32 , pp. 62-72
    • Wang, Z.1    Lauria, S.2    Fang, J.3    Liu, X.4
  • 23
    • 63449084428 scopus 로고    scopus 로고
    • Pinning control of fractional-order weighted complex networks
    • Tang Y., Wang Z., and Fang J. Pinning control of fractional-order weighted complex networks. Chaos 19 (2009) 013112
    • (2009) Chaos , vol.19 , pp. 013112
    • Tang, Y.1    Wang, Z.2    Fang, J.3
  • 26
    • 0034439996 scopus 로고    scopus 로고
    • An integral inequality in the stability problem of time-delay systems
    • Sydney, Australia
    • K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 2805-2810.
    • (2000) Proceedings of 39th IEEE Conference on Decision and Control , pp. 2805-2810
    • Gu, K.1
  • 27
    • 0023310712 scopus 로고
    • A stabilization algorithm for a class of uncertain linear systems
    • Petersen I.R. A stabilization algorithm for a class of uncertain linear systems. Syst. Control Lett. 8 (1987) 351-357
    • (1987) Syst. Control Lett. , vol.8 , pp. 351-357
    • Petersen, I.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.