메뉴 건너뛰기




Volumn 40, Issue 6, 2010, Pages 1425-1437

Robust state estimation for neural networks with discontinuous activations

Author keywords

Differential inclusions; Discontinuous activation functions; Filippov solution; Nonsmooth analysis; State estimation

Indexed keywords

ACTIVATION ANALYSIS; CHEMICAL ACTIVATION; DIFFERENTIAL EQUATIONS; LINEAR MATRIX INEQUALITIES; STATE ESTIMATION; TIME VARYING CONTROL SYSTEMS;

EID: 79953207030     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2009.2039478     Document Type: Article
Times cited : (134)

References (37)
  • 1
    • 0003608428 scopus 로고
    • Differential Equations With Discontinuous Right-Hand Side
    • Boston, MA: Kluwer, ser.
    • A. F. Filippov, Differential Equations With Discontinuous Right-Hand Side. Boston, MA: Kluwer, 1988, ser. Mathematics and its Applications (Soviet Series).
    • (1988) Mathematics and Its Applications (Soviet Series)
    • Filippov, A.F.1
  • 2
    • 33746925941 scopus 로고    scopus 로고
    • Motif discoveries in unaligned molecular sequences using self-organizing neural networks
    • DOI 10.1109/TNN.2006.875987
    • D. Liu, X. Xiong, B. DasGupta, and H. Zhang, "Motif discoveries in unaligned molecular sequences using self-organizing neural networks," IEEE Trans. Neural Netw., vol. 17, no. 4, pp. 919-928, Jul. 2006. (Pubitemid 44194151)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.4 , pp. 919-928
    • Liu, D.1    Xiong, X.2    DasGupta, B.3    Zhang, H.4
  • 3
    • 21744455449 scopus 로고    scopus 로고
    • Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations
    • DOI 10.1016/j.physleta.2005.06.015, PII S0375960105008467
    • D. Papini and V. Taddei, "Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations," Phys. Lett. A, vol. 343, no. 1-3, pp. 117-128, Aug. 2005. (Pubitemid 40941635)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.343 , Issue.1-3 , pp. 117-128
    • Papini, D.1    Taddei, V.2
  • 6
    • 43049160891 scopus 로고    scopus 로고
    • Multistability of neural networks with discontinuous activation function
    • DOI 10.1016/j.cnsns.2007.07.005, PII S1007570407001700
    • G. Huang and J. Cao, "Multistability of neural networks with discontinuous activation function," Commun. Nonlinear Sci. Numer. Simul., vol. 13, no. 10, pp. 2279-2289, Dec. 2008. (Pubitemid 351635984)
    • (2008) Communications in Nonlinear Science and Numerical Simulation , vol.13 , Issue.10 , pp. 2279-2289
    • Huang, G.1    Cao, J.2
  • 7
    • 0000819522 scopus 로고    scopus 로고
    • Controlling chaos of a dynamical system with discontinuous vector field
    • PII S0167278997000237
    • H. Hu, "Controlling chaos of a dynamical system with discontinuous vector field," Phys. D, vol. 106, no. 1/2, pp. 1-8, Jul. 1997. (Pubitemid 127701470)
    • (1997) Physica D: Nonlinear Phenomena , vol.106 , Issue.1-2 , pp. 1-8
    • Hu, H.1
  • 8
    • 49649115035 scopus 로고    scopus 로고
    • Robust state estimation for uncertain neural networks with time-varying delay
    • Aug.
    • H. Huang, G. Feng, and J. Cao, "Robust state estimation for uncertain neural networks with time-varying delay," IEEE Trans. Neural Netw., vol. 19, no. 8, pp. 1329-1339, Aug. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.8 , pp. 1329-1339
    • Huang, H.1    Feng, G.2    Cao, J.3
  • 10
    • 44649117370 scopus 로고    scopus 로고
    • Discontinuous dynamical systems
    • Jun.
    • J. Cortés, "Discontinuous dynamical systems," IEEE Control Syst. Mag., vol. 28, no. 3, pp. 36-73, Jun. 2008.
    • (2008) IEEE Control Syst. Mag. , vol.28 , Issue.3 , pp. 36-73
    • Cortés, J.1
  • 13
    • 49049106530 scopus 로고    scopus 로고
    • Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances
    • Aug.
    • J. Liang, Z. Wang, Y. Liu, and X. Liu, "Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 1073-1083, Aug. 2008.
    • (2008) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.38 , Issue.4 , pp. 1073-1083
    • Liang, J.1    Wang, Z.2    Liu, Y.3    Liu, X.4
  • 16
    • 0033343120 scopus 로고    scopus 로고
    • Partial solution of LMI in stability problem of time-delay systems
    • K. Gu, "Partial solution of LMI in stability problem of time-delay systems," in Proc. 38th IEEE Conf. Decision Control, Dec. 7-10, 1999, vol. 1, pp. 227-232.
    • Proc. 38th IEEE Conf. Decision Control, Dec. 7-10, 1999 , vol.1 , pp. 227-232
    • Gu, K.1
  • 17
    • 60549087956 scopus 로고    scopus 로고
    • Existence and global asymptotic stability of periodic solutions for Hopfield neural networks with discontinuous activations
    • Jun.
    • L. Huang, J. Wang, and X. Zhou, "Existence and global asymptotic stability of periodic solutions for Hopfield neural networks with discontinuous activations," Nonlinear Anal.: Real World Appl., vol. 10, no. 3, pp. 1651-1661, Jun. 2009.
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , Issue.3 , pp. 1651-1661
    • Huang, L.1    Wang, J.2    Zhou, X.3
  • 18
    • 2542525075 scopus 로고    scopus 로고
    • Adaptive probabilistic neural networks for pattern classification in time-varying environment
    • Jul.
    • L. Rutkowski, "Adaptive probabilistic neural networks for pattern classification in time-varying environment," IEEE Trans. Neural Netw., vol. 15, no. 4, pp. 811-827, Jul. 2004.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , Issue.4 , pp. 811-827
    • Rutkowski, L.1
  • 19
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • Sep./Oct.
    • M. A. Cohen and S. Grossberg, "Absolute stability and global pattern formation and parallel memory storage by competitive neural networks," IEEE Trans. Syst., Man, Cybern., vol. SMC-13, no. 5, pp. 815-826, Sep./Oct. 1983.
    • (1983) IEEE Trans. Syst., Man, Cybern. , vol.SMC-13 , Issue.5 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 21
    • 0036489528 scopus 로고    scopus 로고
    • On a possible approximation of discontinuous dynamical systems
    • DOI 10.1016/S0960-0779(01)00002-9, PII S0960077901000029
    • M. Danca and S. Codreanu, "On a possible approximation of discontinuous dynamical systems," Chaos Solitons Fractals, vol. 13, no. 4, pp. 681-691, Mar. 2002. (Pubitemid 32951314)
    • (2002) Chaos, Solitons and Fractals , vol.13 , Issue.4 , pp. 681-691
    • Danca, M.-F.1    Codreanu, S.2
  • 22
    • 31144460192 scopus 로고    scopus 로고
    • Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations
    • DOI 10.1016/j.physd.2005.12.006, PII S0167278905005063
    • M. Forti, M. Grazzini, P. Nistri, and L. Pancioni, "Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations," Phys. D, vol. 214, no. 1, pp. 88-99, Feb. 2006. (Pubitemid 43131061)
    • (2006) Physica D: Nonlinear Phenomena , vol.214 , Issue.1 , pp. 88-99
    • Forti, M.1    Grazzini, M.2    Nistri, P.3    Pancioni, L.4
  • 23
    • 0242696111 scopus 로고    scopus 로고
    • Global convergence of neural networks with discontinuous neuron activations
    • Nov.
    • M. Forti and P. Nistri, "Global convergence of neural networks with discontinuous neuron activations," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 11, pp. 1421-1435, Nov. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.50 , Issue.11 , pp. 1421-1435
    • Forti, M.1    Nistri, P.2
  • 24
    • 28244452021 scopus 로고    scopus 로고
    • Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain
    • DOI 10.1109/TNN.2005.852862
    • M. Forti, P. Nistri, and D. Papini, "Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1449-1463, Nov. 2005. (Pubitemid 41709643)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.6 , pp. 1449-1463
    • Forti, M.1    Nistri, P.2    Papini, D.3
  • 30
    • 37749040585 scopus 로고    scopus 로고
    • Analysis and control of discontinuous dynamical systems
    • S. Tielong, "Analysis and control of discontinuous dynamical systems," in Proc. 26th Chin. Control Conf., 2007, pp. 37-45.
    • (2007) Proc. 26th Chin. Control Conf. , pp. 37-45
    • Tielong, S.1
  • 31
    • 33645706718 scopus 로고    scopus 로고
    • Dynamical behaviors of delayed neural network systems with discontinuous activation functions
    • DOI 10.1162/089976606775623324
    • W. Lu and T. Chen, "Dynamical behaviors of delayed neural networks systems with discontinuous activation functions," Neural Comput., vol. 18, no. 3, pp. 683-708, Mar. 2006. (Pubitemid 43543835)
    • (2006) Neural Computation , vol.18 , Issue.3 , pp. 683-708
    • Lu, W.1    Chen, T.2
  • 32
    • 67349181808 scopus 로고    scopus 로고
    • On periodic solutions of neural networks via differential inclusions
    • May
    • X. Liu and J. Cao, "On periodic solutions of neural networks via differential inclusions," Neural Netw., vol. 22, no. 4, pp. 329-334, May 2009.
    • (2009) Neural Netw. , vol.22 , Issue.4 , pp. 329-334
    • Liu, X.1    Cao, J.2
  • 33
    • 33746913856 scopus 로고    scopus 로고
    • Delay-dependent state estimation for delayed neural networks
    • DOI 10.1109/TNN.2006.875969
    • Y. He, Q. G. Wang, M. Wu, and C. Lin, "Delay-dependent state estimation for delayed neural networks," IEEE Trans. Neural Netw., vol. 17, no. 4, pp. 1077-1081, Jul. 2006. (Pubitemid 44194164)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.4 , pp. 1077-1081
    • He, Y.1    Wang, Q.-G.2    Wu, M.3    Lin, C.4
  • 34
    • 56049116879 scopus 로고    scopus 로고
    • State estimation for discrete-time Markovian jumping neural networks with mixed mode-dependent delays
    • Dec.
    • Y. Liu, Z. Wang, and X. Liu, "State estimation for discrete-time Markovian jumping neural networks with mixed mode-dependent delays," Phys. Lett. A, vol. 372, no. 48, pp. 7147-7155, Dec. 2008.
    • (2008) Phys. Lett. A , vol.372 , Issue.48 , pp. 7147-7155
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 35
    • 2442472146 scopus 로고    scopus 로고
    • A general projection neural network for solving monotone variational inequalities and related optimization problems
    • Mar.
    • Y. Xia and J. Wang, "A general projection neural network for solving monotone variational inequalities and related optimization problems," IEEE Trans. Neural Netw., vol. 15, no. 2, pp. 318-328, Mar. 2004.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , Issue.2 , pp. 318-328
    • Xia, Y.1    Wang, J.2
  • 36
    • 13844256695 scopus 로고    scopus 로고
    • State estimation for delayed neural networks
    • DOI 10.1109/TNN.2004.841813
    • Z. Wang, D. W. C. Ho, and X. Liu, "State estimation for delayed neural networks," IEEE Trans. Neural Netw., vol. 16, no. 1, pp. 279-284, Jan. 2005. (Pubitemid 40241927)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.1 , pp. 279-284
    • Wang, Z.1    Ho, D.W.C.2    Liu, X.3
  • 37
    • 58249092623 scopus 로고    scopus 로고
    • State estimation for jumping recurrent neural networks with discrete and distributed delays
    • Jan.
    • Z. Wang, Y. Liu, and X. Liu, "State estimation for jumping recurrent neural networks with discrete and distributed delays," Neural Netw., vol. 22, no. 1, pp. 41-48, Jan. 2009.
    • (2009) Neural Netw. , vol.22 , Issue.1 , pp. 41-48
    • Wang, Z.1    Liu, Y.2    Liu, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.