메뉴 건너뛰기




Volumn 22, Issue 2, 2013, Pages 349-359

Robust stability criteria for uncertain stochastic neural networks of neutral-type with interval time-varying delays

Author keywords

Lyapunov Krasovskill functional; Neural networks; Neutral type; Robust stability; Time varying delays

Indexed keywords

LINEAR MATRIX INEQUALITIES; NEURAL NETWORKS; ROBUSTNESS (CONTROL SYSTEMS); STOCHASTIC SYSTEMS; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

EID: 84872610773     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-011-0696-1     Document Type: Article
Times cited : (26)

References (41)
  • 2
    • 0024092072 scopus 로고
    • Cellular neural networks: applications
    • Chua LO, Yang L (1988) Cellular neural networks: applications. IEEE Trans Circuits Syst 35: 1273-1290.
    • (1988) IEEE Trans Circuits Syst , vol.35 , pp. 1273-1290
    • Chua, L.O.1    Yang, L.2
  • 3
    • 0031103562 scopus 로고    scopus 로고
    • Object recognition using multilayer Hopfield neural network
    • Young S, Scott P, Nasrabadi N (1997) Object recognition using multilayer Hopfield neural network. IEEE Trans Image Process 6(3): 357-372.
    • (1997) IEEE Trans Image Process , vol.6 , Issue.3 , pp. 357-372
    • Young, S.1    Scott, P.2    Nasrabadi, N.3
  • 4
    • 0023834038 scopus 로고
    • Higher order associative memories and their optical implementations
    • Psaltis D, Park CH, Hong J (1988) Higher order associative memories and their optical implementations. Neural Netw 1: 143-163.
    • (1988) Neural Netw , vol.1 , pp. 143-163
    • Psaltis, D.1    Park, C.H.2    Hong, J.3
  • 5
    • 0035283258 scopus 로고    scopus 로고
    • Cellular neural networks and computational intelligence in medical image processing
    • Aizenberg I, Aizenberg N, Hiltner J, Moraga C, Meyer E (2001) Cellular neural networks and computational intelligence in medical image processing. Image Vis Comput 19: 177-183.
    • (2001) Image Vis Comput , vol.19 , pp. 177-183
    • Aizenberg, I.1    Aizenberg, N.2    Hiltner, J.3    Moraga, C.4    Meyer, E.5
  • 6
    • 0036138293 scopus 로고    scopus 로고
    • Hopfield neural networks for optimization: study of the different dynamics
    • Joya G, Atencia MA, Sandoval F (2002) Hopfield neural networks for optimization: study of the different dynamics. Neurocomputing 43: 219-237.
    • (2002) Neurocomputing , vol.43 , pp. 219-237
    • Joya, G.1    Atencia, M.A.2    Sandoval, F.3
  • 7
    • 0027555144 scopus 로고
    • Neural networks for quadratic optimization with bound constraints
    • Bouzerdoum A, Pattison TR (1993) Neural networks for quadratic optimization with bound constraints. IEEE Trans Neural Netw 4: 293-303.
    • (1993) IEEE Trans Neural Netw , vol.4 , pp. 293-303
    • Bouzerdoum, A.1    Pattison, T.R.2
  • 8
    • 0026910256 scopus 로고
    • Robust control of a class of uncertain nonlinear systems
    • Wang YY, Xie LH, Desouza CE (1992) Robust control of a class of uncertain nonlinear systems. Syst Control Lett 19: 139-149.
    • (1992) Syst Control Lett , vol.19 , pp. 139-149
    • Wang, Y.Y.1    Xie, L.H.2    Desouza, C.E.3
  • 9
    • 0035879242 scopus 로고    scopus 로고
    • Lyapunov-Krasoviskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems
    • Bliman PA (2001) Lyapunov-Krasoviskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems. Int J Robust Nonlinear Control 11: 771-788.
    • (2001) Int J Robust Nonlinear Control , vol.11 , pp. 771-788
    • Bliman, P.A.1
  • 10
    • 1442314948 scopus 로고    scopus 로고
    • Delay-independent stability criteria for a class of retarded dynamical systems with two delays
    • Wu SB, Ren GX (2004) Delay-independent stability criteria for a class of retarded dynamical systems with two delays. J Sound Vib 270: 625-638.
    • (2004) J Sound Vib , vol.270 , pp. 625-638
    • Wu, S.B.1    Ren, G.X.2
  • 11
    • 1842528902 scopus 로고    scopus 로고
    • Delay-dependent stability criteria for coupled chaotic systems via unidirectional linear error feedback approach
    • Yinping Z, Jitao S (2004) Delay-dependent stability criteria for coupled chaotic systems via unidirectional linear error feedback approach. Chaos Solitons Fractals 22: 199-205.
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 199-205
    • Yinping, Z.1    Jitao, S.2
  • 12
    • 0036755232 scopus 로고    scopus 로고
    • Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach
    • Liao X, Chen G, Sanchez E (2002) Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Netw 15: 855-866.
    • (2002) Neural Netw , vol.15 , pp. 855-866
    • Liao, X.1    Chen, G.2    Sanchez, E.3
  • 13
    • 34247141922 scopus 로고    scopus 로고
    • Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output
    • Yan HC, Huang XH, Wang M, Zhang H (2007) Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output. Chaos Solitons Fractals 34: 997-1005.
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 997-1005
    • Yan, H.C.1    Huang, X.H.2    Wang, M.3    Zhang, H.4
  • 14
    • 33845224523 scopus 로고    scopus 로고
    • Novel delay-dependent robust stability criterion of delayed cellular neural networks
    • Cho H, Park J (2007) Novel delay-dependent robust stability criterion of delayed cellular neural networks. Chaos Solitons Fractals 32: 1448-1458.
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 1448-1458
    • Cho, H.1    Park, J.2
  • 15
    • 33749572730 scopus 로고    scopus 로고
    • Global exponential stability of T-S fuzzy neural networks with time-varying delays
    • Fu CJ, Wang ZS (2006) Global exponential stability of T-S fuzzy neural networks with time-varying delays. Intell Comput I 4113: 385-390.
    • (2006) Intell Comput I , vol.4113 , pp. 385-390
    • Fu, C.J.1    Wang, Z.S.2
  • 16
    • 57349192373 scopus 로고    scopus 로고
    • New approach to stabilisation of networked control systems with time-varying delays
    • Zhang WA, Yu L (2008) New approach to stabilisation of networked control systems with time-varying delays. Iet Control Theory Appl 2: 1094-1104.
    • (2008) Iet Control Theory Appl , vol.2 , pp. 1094-1104
    • Zhang, W.A.1    Yu, L.2
  • 17
    • 34548154789 scopus 로고    scopus 로고
    • Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays
    • Huang YN, Xu DY, Yang ZC (2007) Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays. Neurocomputing 70: 2953-2958.
    • (2007) Neurocomputing , vol.70 , pp. 2953-2958
    • Huang, Y.N.1    Xu, D.Y.2    Yang, Z.C.3
  • 18
    • 37349032155 scopus 로고    scopus 로고
    • Novel criteria for global exponential periodicity and stability of recurrent neural networks with time-varying delays
    • Song QK (2008) Novel criteria for global exponential periodicity and stability of recurrent neural networks with time-varying delays. Chaos Solitons Fractals 36: 720-728.
    • (2008) Chaos Solitons Fractals , vol.36 , pp. 720-728
    • Song, Q.K.1
  • 19
    • 43949135183 scopus 로고    scopus 로고
    • A new comparison method for stability theory of differential systems with time-varying delays
    • Zeng Z, Yu P, Liao XX (2008) A new comparison method for stability theory of differential systems with time-varying delays. Int J Bifurcat Chaos 18: 169-186.
    • (2008) Int J Bifurcat Chaos , vol.18 , pp. 169-186
    • Zeng, Z.1    Yu, P.2    Liao, X.X.3
  • 20
    • 28244492751 scopus 로고    scopus 로고
    • Global exponential stability of stochastic neural networks with delay
    • Zhao BR, Jiang MH, Shen Y (2005) Global exponential stability of stochastic neural networks with delay. Control Theory Appl 22: 799-801.
    • (2005) Control Theory Appl , vol.22 , pp. 799-801
    • Zhao, B.R.1    Jiang, M.H.2    Shen, Y.3
  • 21
    • 61849162696 scopus 로고    scopus 로고
    • Passivity analysis of discrete-time stochastic neural networks with time-varying delays
    • Song Q, Liang J, Wang Z (2009) Passivity analysis of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 72: 1782-1788.
    • (2009) Neurocomputing , vol.72 , pp. 1782-1788
    • Song, Q.1    Liang, J.2    Wang, Z.3
  • 22
    • 33846058657 scopus 로고    scopus 로고
    • LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay
    • Cao J, Ho D, Huang X (2007) LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay. Nonlinear Anal 66: 1558-1572.
    • (2007) Nonlinear Anal , vol.66 , pp. 1558-1572
    • Cao, J.1    Ho, D.2    Huang, X.3
  • 23
    • 69249219360 scopus 로고    scopus 로고
    • Stability analysis for stochastic BAM neural networks with Markovian jumping parameters
    • Wang GJ, Cao JD, Xu M (2009) Stability analysis for stochastic BAM neural networks with Markovian jumping parameters. Neurocomputing 72: 3901-3906.
    • (2009) Neurocomputing , vol.72 , pp. 3901-3906
    • Wang, G.J.1    Cao, J.D.2    Xu, M.3
  • 24
    • 64549092800 scopus 로고    scopus 로고
    • Delay-range-dependent stability for fuzzy BAM neural networks with time-varying delays
    • Liu B, Shi P (2009) Delay-range-dependent stability for fuzzy BAM neural networks with time-varying delays. Phys Lett A 373: 1830-1838.
    • (2009) Phys Lett A , vol.373 , pp. 1830-1838
    • Liu, B.1    Shi, P.2
  • 25
    • 64049116250 scopus 로고    scopus 로고
    • Novel robust stability criteria for stochastic hopfield neural networks with time delays
    • Yang RN, Gao HJ, Shi P (2009) Novel robust stability criteria for stochastic hopfield neural networks with time delays. IEEE Trans Syst Man Cybern B-Cybern 39: 467-474.
    • (2009) IEEE Trans Syst Man Cybern B-Cybern , vol.39 , pp. 467-474
    • Yang, R.N.1    Gao, H.J.2    Shi, P.3
  • 26
    • 67349226678 scopus 로고    scopus 로고
    • Robust stability analysis of uncertain stochastic neural networks with interval time-varying delay
    • Feng W, Yang SX, Fu W, Wu HX (2009) Robust stability analysis of uncertain stochastic neural networks with interval time-varying delay. Chaos Solitons Fractals 41: 414-424.
    • (2009) Chaos Solitons Fractals , vol.41 , pp. 414-424
    • Feng, W.1    Yang, S.X.2    Fu, W.3    Wu, H.X.4
  • 27
    • 77149172021 scopus 로고    scopus 로고
    • Synchronization of Markovian jumping stochastic complex networks with distributed time delays and probabilistic interval discrete time-varying delays
    • Li HJ, Yue D (2010) Synchronization of Markovian jumping stochastic complex networks with distributed time delays and probabilistic interval discrete time-varying delays. J Phys A Math Theor 43: 101-105.
    • (2010) J Phys A Math Theor , vol.43 , pp. 101-105
    • Li, H.J.1    Yue, D.2
  • 28
    • 78049249611 scopus 로고    scopus 로고
    • Delay-dependent robust stability analysis of uncertain stochastic neural networks with discrete interval and distributed time-varying delays
    • Balasubramaniam P, Rakkiyappan R (2009) Delay-dependent robust stability analysis of uncertain stochastic neural networks with discrete interval and distributed time-varying delays. Neurocomputing 72: 3231-3237.
    • (2009) Neurocomputing , vol.72 , pp. 3231-3237
    • Balasubramaniam, P.1    Rakkiyappan, R.2
  • 30
    • 46749117785 scopus 로고    scopus 로고
    • Delay-dependent robust stability of neutral-type neural networks with time delays
    • Qiu J, Cao J (2007) Delay-dependent robust stability of neutral-type neural networks with time delays. J Math Control Sci Appl 1: 179-188.
    • (2007) J Math Control Sci Appl , vol.1 , pp. 179-188
    • Qiu, J.1    Cao, J.2
  • 31
    • 46749097950 scopus 로고    scopus 로고
    • Design of state estimator for neural networks of neutral-type
    • Park JH, Kwon OM (2008) Design of state estimator for neural networks of neutral-type. Appl Math Comput 202: 360-369.
    • (2008) Appl Math Comput , vol.202 , pp. 360-369
    • Park, J.H.1    Kwon, O.M.2
  • 32
    • 38049088038 scopus 로고    scopus 로고
    • LMI optimization approach on stability for delayed neural networks of neutral-type
    • Park JH, Kwon OM, Lee SM (2008) LMI optimization approach on stability for delayed neural networks of neutral-type. Appl Math Comput 196: 236-244.
    • (2008) Appl Math Comput , vol.196 , pp. 236-244
    • Park, J.H.1    Kwon, O.M.2    Lee, S.M.3
  • 33
    • 38649088238 scopus 로고    scopus 로고
    • New global exponential stability results for neutral type neural networks with distributed time delays
    • Rakkiyappan R, Balasubramaniam P (2008) New global exponential stability results for neutral type neural networks with distributed time delays. Neurocomputing 71: 1039-1045.
    • (2008) Neurocomputing , vol.71 , pp. 1039-1045
    • Rakkiyappan, R.1    Balasubramaniam, P.2
  • 34
    • 70350738725 scopus 로고    scopus 로고
    • Global exponential stability results for neutral-type impulsive neural networks
    • Rakkiyappan R, Balasubramaniam P, Cao JD (2010) Global exponential stability results for neutral-type impulsive neural networks. Nonlinear Anal Real World Appl 11: 122-130.
    • (2010) Nonlinear Anal Real World Appl , vol.11 , pp. 122-130
    • Rakkiyappan, R.1    Balasubramaniam, P.2    Cao, J.D.3
  • 35
    • 44849117844 scopus 로고    scopus 로고
    • Global exponential stability for uncertain delayed neural networks of neutral type with mixed time delays
    • Lien CH, Yu KW, Lin YF, Chung YJ, Chung LY (2008) Global exponential stability for uncertain delayed neural networks of neutral type with mixed time delays. IEEE Trans Syst Man Cybern B Cybern 38: 709-720.
    • (2008) IEEE Trans Syst Man Cybern B Cybern , vol.38 , pp. 709-720
    • Lien, C.H.1    Yu, K.W.2    Lin, Y.F.3    Chung, Y.J.4    Chung, L.Y.5
  • 36
    • 58349115400 scopus 로고    scopus 로고
    • Global stability analysis of interval neural networks with discrete and distributed delays of neutral type
    • Liu LP, Han ZZ, Li WL (2009) Global stability analysis of interval neural networks with discrete and distributed delays of neutral type. Expert Syst Appl 36: 7328-7331.
    • (2009) Expert Syst Appl , vol.36 , pp. 7328-7331
    • Liu, L.P.1    Han, Z.Z.2    Li, W.L.3
  • 37
    • 67349147384 scopus 로고    scopus 로고
    • Delay-dependent robust stability for Hopfield neural networks of neutral-type
    • Jin Z, Zhang QL, Yang CY (2009) Delay-dependent robust stability for Hopfield neural networks of neutral-type. Neurocomputing 72: 2609-2617.
    • (2009) Neurocomputing , vol.72 , pp. 2609-2617
    • Jin, Z.1    Zhang, Q.L.2    Yang, C.Y.3
  • 38
    • 67249115742 scopus 로고    scopus 로고
    • Global stability for neural networks of neutral-type with interval time-varying delays
    • Park JH, Kwon OM (2009) Global stability for neural networks of neutral-type with interval time-varying delays. Chaos Solitons Fractals 41: 1174-1181.
    • (2009) Chaos Solitons Fractals , vol.41 , pp. 1174-1181
    • Park, J.H.1    Kwon, O.M.2
  • 39
    • 22144483495 scopus 로고    scopus 로고
    • Delay-dependent exponential stability for a class of neural networks with time delays
    • Xu SY, Lam J, Ho DWC, Zou Y (2005) Delay-dependent exponential stability for a class of neural networks with time delays. J Comput Appl Math 183: 16-28.
    • (2005) J Comput Appl Math , vol.183 , pp. 16-28
    • Xu, S.Y.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4
  • 40
    • 77955311516 scopus 로고    scopus 로고
    • Novel delay-dependent robust stability criteria for neutral stochastic delayed neural networks
    • Chen HB, Zhang Y, Hu P (2010) Novel delay-dependent robust stability criteria for neutral stochastic delayed neural networks. Neurocomputing 73: 2554-2561.
    • (2010) Neurocomputing , vol.73 , pp. 2554-2561
    • Chen, H.B.1    Zhang, Y.2    Hu, P.3
  • 41
    • 77955307757 scopus 로고    scopus 로고
    • Global robust exponential stability of uncertain neutral high-order stochastic hopfield neural networks with time-varying delays
    • Gan QT, Xu R (2010) Global robust exponential stability of uncertain neutral high-order stochastic hopfield neural networks with time-varying delays. Neural Processing Lett 32: 83-96.
    • (2010) Neural Processing Lett , vol.32 , pp. 83-96
    • Gan, Q.T.1    Xu, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.