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Volumn 468, Issue 2144, 2012, Pages 2255-2271

A new variant of the Zhang neural network for solving online time-varying linear inequalities

Author keywords

Design formula; Implicit dynamics; New variant of the Zhang neural network (NVZNN); Solution set; Time varying linear inequalities

Indexed keywords

COMPUTER SIMULATION; DYNAMICS; RECURRENT NEURAL NETWORKS; ZINC COMPOUNDS;

EID: 84864627763     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2011.0668     Document Type: Conference Paper
Times cited : (24)

References (23)
  • 2
    • 0030783927 scopus 로고    scopus 로고
    • Neural networks for solving linear inequality systems
    • PII S0167819196000658
    • Cichocki, A. & Bargiela, A. 1997 Neural networks for solving linear inequality systems. Parallel Comput. 22, 1455-1475. (doi:10.1016/S0167-8191 (96) 00065-8) (Pubitemid 127382089)
    • (1997) Parallel Computing , vol.22 , Issue.11 , pp. 1455-1475
    • Cichocki, A.1    Bargiela, A.2
  • 4
    • 84864591960 scopus 로고    scopus 로고
    • Zhang neural network versus gradient-based neural network for time-varying linear matrix equation solving
    • doi:10.1016/j.neucom.2011.05.021
    • Guo, D., Yi, C. & Zhang, Y. 2011 Zhang neural network versus gradient-based neural network for time-varying linear matrix equation solving. Neurocomputing 74, 3708-3712. (doi:10.1016/j.neucom.2011.05.021)
    • (2011) Neurocomputing , vol.74 , pp. 3708-3712
    • Guo, D.1    Yi, C.2    Zhang, Y.3
  • 5
    • 79951946707 scopus 로고    scopus 로고
    • Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis
    • doi:10.1016/j.neunet.2010.12.008
    • Kaslik, E. & Sivasundaram, S. 2011 Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis. Neural Netw. 24, 370-377. (doi:10.1016/j.neunet.2010.12.008)
    • (2011) Neural Netw. , vol.24 , pp. 370-377
    • Kaslik, E.1    Sivasundaram, S.2
  • 6
    • 0031142666 scopus 로고    scopus 로고
    • On solving systems of linear inequalities with artificial neural networks
    • PII S1045922797027562
    • Labonte, G. 1997 On solving systems of linear inequalities with artificial neural network. IEEE Trans. Neural Netw. 8, 590-600. (doi:10.1109/72.572098) (Pubitemid 127767803)
    • (1997) IEEE Transactions on Neural Networks , vol.8 , Issue.3 , pp. 590-600
    • Labonte, G.1
  • 7
    • 79955513952 scopus 로고    scopus 로고
    • Improved Zhang neural network model and its solution of time-varying generalized linear matrix equations
    • doi:10.1016/j.eswa.2010.04.007
    • Li, Z. & Zhang, Y. 2010 Improved Zhang neural network model and its solution of time-varying generalized linear matrix equations. Expert Syst. Appl. 37, 7213-7218. (doi:10.1016/j.eswa.2010.04.007)
    • (2010) Expert Syst. Appl. , vol.37 , pp. 7213-7218
    • Li, Z.1    Zhang, Y.2
  • 8
    • 0036755232 scopus 로고    scopus 로고
    • Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach
    • DOI 10.1016/S0893-6080(02)00041-2, PII S0893608002000412
    • Liao, X., Chen, G. & Sanchez, E. N. 2002 Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Netw. 15, 855-866. (doi:10.1016/S0893-6080 (02) 00041-2) (Pubitemid 35299581)
    • (2002) Neural Networks , vol.15 , Issue.7 , pp. 855-866
    • Liao, X.1    Chen, G.2    Sanchez, E.N.3
  • 9
    • 0034271290 scopus 로고    scopus 로고
    • A neural network for linear matrix inequality problems
    • doi:10.1109/72.870041
    • Lin, C., Lai, C. & Huang, T. 2000 A neural network for linear matrix inequality problems. IEEE Trans. Neural Netw. 11, 1078-1092. (doi:10.1109/72.870041)
    • (2000) IEEE Trans. Neural Netw. , vol.11 , pp. 1078-1092
    • Lin, C.1    Lai, C.2    Huang, T.3
  • 10
    • 69449101935 scopus 로고    scopus 로고
    • Optimal exponential synchronization of general chaotic delayed neural networks: An LMI approach
    • doi:10.1016/j.neunet.2009.04.002
    • Liu, M. 2009 Optimal exponential synchronization of general chaotic delayed neural networks: an LMI approach. Neural Netw. 22, 949-957. (doi:10.1016/j.neunet.2009.04.002)
    • (2009) Neural Netw. , vol.22 , pp. 949-957
    • Liu, M.1
  • 11
    • 62749176573 scopus 로고    scopus 로고
    • Hadamard, Khatri-Rao, Kronecker and other matrix products
    • Liu, S. & Trenkler, G. 2008 Hadamard, Khatri-Rao, Kronecker and other matrix products. Int. J. Inf. Syst. Sci. 4, 160-177.
    • (2008) Int. J. Inf. Syst. Sci. , vol.4 , pp. 160-177
    • Liu, S.1    Trenkler, G.2
  • 13
    • 34548678972 scopus 로고    scopus 로고
    • Attractor minimal sets for non-autonomous delay functional differential equations with applications for neural networks
    • doi:10.1098/rspa.2005.1497
    • Novo, S., Obaya, R. & Sanz, A. M. 2005 Attractor minimal sets for non-autonomous delay functional differential equations with applications for neural networks. Proc. R. Soc. A 461, 2767-2783. (doi:10.1098/rspa.2005.1497)
    • (2005) Proc. R. Soc. A , vol.461 , pp. 2767-2783
    • Novo, S.1    Obaya, R.2    Sanz, A.M.3
  • 14
    • 0000780488 scopus 로고
    • Robust nonlinear control with neural networks
    • doi:10.1098/rspa.1995.0064
    • Ramasamy, S., Deshpande, P. B., Tambe, S. S. & Kulkarni, B. D. 1995 Robust nonlinear control with neural networks. Proc. R. Soc. Lond. A 449, 655-667. (doi:10.1098/rspa.1995.0064)
    • (1995) Proc. R. Soc. Lond. A , vol.449 , pp. 655-667
    • Ramasamy, S.1    Deshpande, P.B.2    Tambe, S.S.3    Kulkarni, B.D.4
  • 15
    • 0030106939 scopus 로고    scopus 로고
    • A new neural network for solving linear programming problems and its application
    • PII S104592279612384
    • Xia, Y. 1996 A new neural network for solving linear programming problems and its application. IEEE Trans. Neural Netw. 7, 525-529. (doi:10.1109/72. 485686) (Pubitemid 126774443)
    • (1996) IEEE Transactions on Neural Networks , vol.7 , Issue.2 , pp. 525-529
    • Xia, Y.1
  • 17
    • 0026634445 scopus 로고
    • New iterative methods for linear inequalities
    • doi:10.1007/BF00939954
    • Yang, K., Murty, K. G. & Mangasarian, O. L. 1992 New iterative methods for linear inequalities. J. Optim. Theory Appl. 72, 163-185. (doi:10.1007/BF00939954)
    • (1992) J. Optim. Theory Appl. , vol.72 , pp. 163-185
    • Yang, K.1    Murty, K.G.2    Mangasarian, O.L.3
  • 18
    • 34548385611 scopus 로고    scopus 로고
    • An LMI approach to global asymptotic stability of the delayed Cohen-Grossberg neural network via nonsmooth analysis
    • DOI 10.1016/j.neunet.2007.07.004, PII S0893608007000974
    • Yu, W., Cao, J. & Wang, J. 2007 An LMI approach to global asymptotic stability of the delayed Cohen-Grossberg neural network via nonsmooth analysis. Neural Netw. 20, 810-818. (doi:10.1016/j.neunet.2007.07.004) (Pubitemid 47361679)
    • (2007) Neural Networks , vol.20 , Issue.7 , pp. 810-818
    • Yu, W.1    Cao, J.2    Wang, J.3
  • 19
    • 33750344815 scopus 로고    scopus 로고
    • A set of nonlinear equations and inequalities arising in robotics and its online solution via a primal neural network
    • DOI 10.1016/j.neucom.2005.11.006, PII S0925231206000373
    • Zhang, Y. 2006 A set of nonlinear equations and inequalities arising in robotics and its online solution via a primal neural network. Neurocomputing 70, 513-524. (doi:10.1016/j.neucom.2005. 11.006) (Pubitemid 44615771)
    • (2006) Neurocomputing , vol.70 , Issue.1-3 , pp. 513-524
    • Zhang, Y.1
  • 20
    • 28244493362 scopus 로고    scopus 로고
    • Design and analysis of a general recurrent neural network model for time-varying matrix inversion
    • DOI 10.1109/TNN.2005.857946
    • Zhang, Y. & Ge, S. S. 2005 Design and analysis of a general recurrent neural network model for time-varying matrix inversion. IEEE Trans. Neural Netw. 16, 1477-1490. (doi:10.1109/TNN.2005.857946) (Pubitemid 41709645)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.6 , pp. 1477-1490
    • Zhang, Y.1    Ge, S.S.2
  • 21
    • 63249129983 scopus 로고    scopus 로고
    • Zhang neural network for online solution of time-varying convex quadratic program subject to time-varying linear-equality constraints
    • doi:10.1016/j.physleta.2009.03.011
    • Zhang, Y. & Li, Z. 2009 Zhang neural network for online solution of time-varying convex quadratic program subject to time-varying linear-equality constraints. Phys. Lett. A 373, 1639-1643. (doi:10.1016/j.physleta.2009.03.011)
    • (2009) Phys. Lett. A , vol.373 , pp. 1639-1643
    • Zhang, Y.1    Li, Z.2
  • 22
    • 0742290002 scopus 로고    scopus 로고
    • Obstacle avoidance for kinematically redundant manipulators using a dual neural network
    • doi:10.1109/TSMCB. 2003.811519
    • Zhang, Y. & Wang, J. 2004 Obstacle avoidance for kinematically redundant manipulators using a dual neural network. IEEE Trans. Syst., Man, Cybern. B 34, 752-759. (doi:10.1109/TSMCB. 2003.811519)
    • (2004) IEEE Trans. Syst., Man, Cybern. B , vol.34 , pp. 752-759
    • Zhang, Y.1    Wang, J.2
  • 23
    • 0036738835 scopus 로고    scopus 로고
    • A recurrent neural network for solving Sylvester equation with time-varying coefficients
    • doi:10.1109/TNN.2002.1031938
    • Zhang, Y., Jiang, D. & Wang, J. 2002 A recurrent neural network for solving Sylvester equation with time-varying coefficients. IEEE Trans. Neural Netw. 13, 1053-1063. (doi:10.1109/TNN.2002.1031938)
    • (2002) IEEE Trans. Neural Netw. , vol.13 , pp. 1053-1063
    • Zhang, Y.1    Jiang, D.2    Wang, J.3


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