메뉴 건너뛰기




Volumn 73, Issue 10-12, 2010, Pages 2069-2076

Global exponential system of projection neural networks for system of generalized variational inequalities and related nonlinear minimax problems

Author keywords

Global exponential stability; Lyapunov function; Nonlinear minimax problems; System of generalized variational inequalities; System of projection neural networks

Indexed keywords

EXPONENTIAL SYSTEMS; GENERALIZED VARIATIONAL INEQUALITIES; GLOBAL EXPONENTIAL STABILITY; MINIMAX PROBLEM; NUMERICAL EXAMPLE; PROJECTION NEURAL NETWORK; SIMULATION RESULT;

EID: 77952541095     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2010.03.009     Document Type: Article
Times cited : (25)

References (33)
  • 1
    • 0002183298 scopus 로고
    • Optimisation: Méthodes Numériques
    • Masson, Paris, France
    • A. Auslender, Optimisation: Méthodes Numériques, Masson, Paris, France, 1976.
    • (1976)
    • Auslender, A.1
  • 3
    • 33751185569 scopus 로고    scopus 로고
    • Generalized system for relaxed co-coercive variational inequalities in hilbert spaces
    • Chang S., Joseph Lee H., Chan C. Generalized system for relaxed co-coercive variational inequalities in hilbert spaces. Applied Mathematics Letters 2007, 20(3):329-334.
    • (2007) Applied Mathematics Letters , vol.20 , Issue.3 , pp. 329-334
    • Chang, S.1    Joseph Lee, H.2    Chan, C.3
  • 4
    • 55049109302 scopus 로고    scopus 로고
    • Systems of generalized nonlinear variational inequalities and its projection methods
    • Cho Y., Qin X. Systems of generalized nonlinear variational inequalities and its projection methods. Nonlinear Analysis-Theory Methods & Applications 2008, 69(12):4443-4451.
    • (2008) Nonlinear Analysis-Theory Methods & Applications , vol.69 , Issue.12 , pp. 4443-4451
    • Cho, Y.1    Qin, X.2
  • 7
    • 0026763569 scopus 로고
    • Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
    • Fukushima M. Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems. Mathematical Programming 1992, 53(1):99-110.
    • (1992) Mathematical Programming , vol.53 , Issue.1 , pp. 99-110
    • Fukushima, M.1
  • 8
    • 0037361404 scopus 로고    scopus 로고
    • Exponential stability of globally projected dynamic systems
    • Gao X. Exponential stability of globally projected dynamic systems. IEEE Transactions on Neural Networks 2003, 14(2):426-431.
    • (2003) IEEE Transactions on Neural Networks , vol.14 , Issue.2 , pp. 426-431
    • Gao, X.1
  • 9
    • 63049122757 scopus 로고    scopus 로고
    • A new projection-based neural network for constrained variational inequalities
    • Gao X., Liao L. A new projection-based neural network for constrained variational inequalities. IEEE Transactions on Neural Networks 2009, 20(3):373-388.
    • (2009) IEEE Transactions on Neural Networks , vol.20 , Issue.3 , pp. 373-388
    • Gao, X.1    Liao, L.2
  • 10
    • 28244495859 scopus 로고    scopus 로고
    • A novel neural network for variational inequalities with linear and nonlinear constraints
    • Gao X., Liao L., Qi L. A novel neural network for variational inequalities with linear and nonlinear constraints. IEEE Transactions on Neural Networks 2005, 16(6):1305-1317.
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.6 , pp. 1305-1317
    • Gao, X.1    Liao, L.2    Qi, L.3
  • 12
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications
    • Harker P., Pang J. Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications. Mathematical Programming 1990, 48(1):161-220.
    • (1990) Mathematical Programming , vol.48 , Issue.1 , pp. 161-220
    • Harker, P.1    Pang, J.2
  • 13
    • 34249016393 scopus 로고    scopus 로고
    • Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network
    • Hu X., Wang J. Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network. IEEE Transactions on Neural Networks 2006, 17(6):1487-1499.
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.6 , pp. 1487-1499
    • Hu, X.1    Wang, J.2
  • 14
    • 34249007164 scopus 로고    scopus 로고
    • A recurrent neural network for solving a class of general variational inequalities
    • Hu X., Wang J. A recurrent neural network for solving a class of general variational inequalities. IEEE Transactions on Systems, Man and Cybernetics-B 2007, 37(3):528-539.
    • (2007) IEEE Transactions on Systems, Man and Cybernetics-B , vol.37 , Issue.3 , pp. 528-539
    • Hu, X.1    Wang, J.2
  • 15
    • 57749106175 scopus 로고    scopus 로고
    • An improved dual neural network for solving a class of quadratic programming problems and its k-winners-take-all application
    • Hu X., Wang J. An improved dual neural network for solving a class of quadratic programming problems and its k-winners-take-all application. IEEE Transactions on Neural Networks 2008, 19(12):2022-2031.
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.12 , pp. 2022-2031
    • Hu, X.1    Wang, J.2
  • 18
    • 0035272288 scopus 로고    scopus 로고
    • Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem
    • Liang X., Si J. Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem. IEEE Transactions on Neural Networks 2001, 12(2):349-359.
    • (2001) IEEE Transactions on Neural Networks , vol.12 , Issue.2 , pp. 349-359
    • Liang, X.1    Si, J.2
  • 19
    • 23044474397 scopus 로고    scopus 로고
    • A delayed neural network for solving linear projection equations and its analysis
    • Liu Q., Cao J., Xia Y. A delayed neural network for solving linear projection equations and its analysis. IEEE Transactions on Neural Networks 2005, 16(4):834-843.
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.4 , pp. 834-843
    • Liu, Q.1    Cao, J.2    Xia, Y.3
  • 20
    • 43449132396 scopus 로고    scopus 로고
    • A one-layer recurrent neural network with a discontinuous activation function for linear programming
    • Liu Q., Wang J. A one-layer recurrent neural network with a discontinuous activation function for linear programming. Neural Computation 2008, 20(5):1366-1383.
    • (2008) Neural Computation , vol.20 , Issue.5 , pp. 1366-1383
    • Liu, Q.1    Wang, J.2
  • 21
    • 42549152732 scopus 로고    scopus 로고
    • A one-layer recurrent neural network with a discontinuous hard-limiting activation function for quadratic programming
    • Liu Q., Wang J. A one-layer recurrent neural network with a discontinuous hard-limiting activation function for quadratic programming. IEEE Transactions on Neural Networks 2008, 19(4):558-570.
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.4 , pp. 558-570
    • Liu, Q.1    Wang, J.2
  • 23
    • 0000670776 scopus 로고
    • General variational inequalities
    • Noor M. General variational inequalities. Applied Mathematics Letters 1988, 1(2):119-121.
    • (1988) Applied Mathematics Letters , vol.1 , Issue.2 , pp. 119-121
    • Noor, M.1
  • 24
    • 56949083102 scopus 로고    scopus 로고
    • Extended general variational inequalities
    • Noor M. Extended general variational inequalities. Applied Mathematics Letters 2009, 22:182-186.
    • (2009) Applied Mathematics Letters , vol.22 , pp. 182-186
    • Noor, M.1
  • 26
    • 0022721216 scopus 로고
    • Simple neural optimization networks: an a/d converter, signal decision circuit, and a linear programming circuit
    • Tank D., Hopfield J. Simple neural optimization networks: an a/d converter, signal decision circuit, and a linear programming circuit. IEEE Transactions on Circuits and Systems 1986, 33(5):533-541.
    • (1986) IEEE Transactions on Circuits and Systems , vol.33 , Issue.5 , pp. 533-541
    • Tank, D.1    Hopfield, J.2
  • 27
    • 4043050723 scopus 로고    scopus 로고
    • Generalized system for relaxed co-coercive variational inequalities and its projection methods
    • Verma R. Generalized system for relaxed co-coercive variational inequalities and its projection methods. Journal of Optimization Theory and Applications 2004, 121(1):203-210.
    • (2004) Journal of Optimization Theory and Applications , vol.121 , Issue.1 , pp. 203-210
    • Verma, R.1
  • 28
    • 0027659604 scopus 로고
    • Analysis and design of a recurrent neural network for linear programming
    • Wang J. Analysis and design of a recurrent neural network for linear programming. IEEE Transactions on Circuits and Systems-I 1993, 40(9):613-618.
    • (1993) IEEE Transactions on Circuits and Systems-I , vol.40 , Issue.9 , pp. 613-618
    • Wang, J.1
  • 29
    • 33748523502 scopus 로고    scopus 로고
    • Exponential stability of uncertain stochastic neural networks with mixed time-delays
    • Wang Z., Lauria S., Fang J., Liu X. Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos, Solitons and Fractals 2007, 32(1):62-72.
    • (2007) Chaos, Solitons and Fractals , vol.32 , Issue.1 , pp. 62-72
    • Wang, Z.1    Lauria, S.2    Fang, J.3    Liu, X.4
  • 30
    • 33745348656 scopus 로고    scopus 로고
    • Exponential stability of delayed recurrent neural networks with Markovian jumping parameters
    • Wang Z., Liu Y., Yu L., Liu X. Exponential stability of delayed recurrent neural networks with Markovian jumping parameters. Physics Letters A 2006, 356(4-5):346-352.
    • (2006) Physics Letters A , vol.356 , Issue.4-5 , pp. 346-352
    • Wang, Z.1    Liu, Y.2    Yu, L.3    Liu, X.4
  • 31
    • 0033163920 scopus 로고    scopus 로고
    • On the stability of globally projected dynamical systems
    • Xia Y., Wang J. On the stability of globally projected dynamical systems. Journal of Optimization Theory and Applications 2000, 106(1):129-150.
    • (2000) Journal of Optimization Theory and Applications , vol.106 , Issue.1 , pp. 129-150
    • Xia, Y.1    Wang, J.2
  • 32
    • 2442472146 scopus 로고    scopus 로고
    • A general projection neural network for solving monotone variational inequalities and related optimization problems
    • Xia Y., Wang J. A general projection neural network for solving monotone variational inequalities and related optimization problems. IEEE Transactions on Neural Networks 2004, 15(2):318-328.
    • (2004) IEEE Transactions on Neural Networks , vol.15 , Issue.2 , pp. 318-328
    • Xia, Y.1    Wang, J.2
  • 33
    • 33751544277 scopus 로고    scopus 로고
    • Solving quadratic programming problems by delayed projection neural network
    • Yang Y., Cao J. Solving quadratic programming problems by delayed projection neural network. IEEE Transactions on Neural Networks 2006, 17(6):1630-1634.
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.6 , pp. 1630-1634
    • Yang, Y.1    Cao, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.