메뉴 건너뛰기




Volumn 51, Issue 7, 2004, Pages 1385-1394

A recurrent neural network for nonlinear convex optimization subject to nonlinear inequality constraints

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; LYAPUNOV METHODS; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; PROBLEM SOLVING;

EID: 3843138428     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.830694     Document Type: Article
Times cited : (160)

References (28)
  • 3
    • 0003052627 scopus 로고
    • Nonlinear least pth optimization and nonlinear programming
    • C. Charalambous, "Nonlinear least pth optimization and nonlinear programming," Math. Progr., vol, 12, pp. 195-225, 1977.
    • (1977) Math. Progr. , vol.12 , pp. 195-225
    • Charalambous, C.1
  • 4
    • 0026763569 scopus 로고
    • Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
    • M. Fukushima, "Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems," Math. Progr., vol. 53, pp. 99-110, 1992.
    • (1992) Math. Progr. , vol.53 , pp. 99-110
    • Fukushima, M.1
  • 5
    • 0030243756 scopus 로고    scopus 로고
    • Modified projection-type methods for monotone variational inequalities
    • M. V. Solodov and P. Tseng, "Modified projection-type methods for monotone variational inequalities," SIAM J. Control Optim., vol. 2, pp. 1814-1830, 1996.
    • (1996) SIAM J. Control Optim. , vol.2 , pp. 1814-1830
    • Solodov, M.V.1    Tseng, P.2
  • 6
    • 0031515563 scopus 로고    scopus 로고
    • A class of combined iterative methods for solving variational inequalities
    • I. V. Konnov, "A class of combined iterative methods for solving variational inequalities," J. Optim. Theory Applicat., vol, 94, pp. 677-693, 1997.
    • (1997) J. Optim. Theory Applicat. , vol.94 , pp. 677-693
    • Konnov, I.V.1
  • 10
    • 0022721216 scopus 로고
    • Simple neural optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit
    • May
    • D. W. Tank and J. J. Hopfield, "Simple neural optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit," IEEE Trans. Circuits Syst., vol. CAS-33, pp. 533-541, May 1986.
    • (1986) IEEE Trans. Circuits Syst. , vol.CAS-33 , pp. 533-541
    • Tank, D.W.1    Hopfield, J.J.2
  • 11
    • 0024016062 scopus 로고
    • Neural networks for nonlinear programming
    • May
    • M. P. Kennedy and L. O. Chua, "Neural networks for nonlinear programming," IEEE Trans. Circuits Syst., vol. 35, pp. 554-562, May 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 554-562
    • Kennedy, M.P.1    Chua, L.O.2
  • 12
    • 0026896765 scopus 로고
    • Linear and quadratic programming neural network analysis
    • Mar
    • C. Y. Maa and M. A. Shanblatt, "Linear and quadratic programming neural network analysis," IEEE Trans. Neural Networks, vol. 3, pp. 580-594, Mar. 1992.
    • (1992) IEEE Trans. Neural Networks , vol.3 , pp. 580-594
    • Maa, C.Y.1    Shanblatt, M.A.2
  • 14
    • 0027696448 scopus 로고
    • On solving constrained optimization problems with neural networks: A penalty method approach
    • Nov
    • W. E. Lillo, M. H. Loh, S. Hui, and S. H. Zǎk, "On solving constrained optimization problems with neural networks: A penalty method approach," IEEE Trans. Neural Networks, vol. 4, pp. 931-939, Nov. 1993.
    • (1993) IEEE Trans. Neural Networks , vol.4 , pp. 931-939
    • Lillo, W.E.1    Loh, M.H.2    Hui, S.3    Zǎk, S.H.4
  • 15
    • 0029203540 scopus 로고
    • Solving linear programming problems with neural networks: A comparative study
    • Jan
    • S. H. Zǎk, V. Upatising, and S. Hui, "Solving linear programming problems with neural networks: A comparative study," IEEE Trans. Neural Networks, vol. 6, pp. 94-104, Jan. 1995.
    • (1995) IEEE Trans. Neural Networks , vol.6 , pp. 94-104
    • Zǎk, S.H.1    Upatising, V.2    Hui, S.3
  • 16
    • 0028320687 scopus 로고
    • A deterministic annealing neural network for convex programming
    • J. Wang, "A deterministic annealing neural network for convex programming," Neural Networks, vol. 7, no. 4, pp. 629-641, 1994.
    • (1994) Neural Networks , vol.7 , Issue.4 , pp. 629-641
    • Wang, J.1
  • 17
    • 0027555144 scopus 로고
    • Neural network for quadratic optimization with bound constraints
    • Feb
    • A. Bouzerdoum and T. R. Pattison, "Neural network for quadratic optimization with bound constraints," IEEE Trans. Neural Networks, vol. 4, pp. 293-304, Feb. 1993.
    • (1993) IEEE Trans. Neural Networks , vol.4 , pp. 293-304
    • Bouzerdoum, A.1    Pattison, T.R.2
  • 18
    • 0001284544 scopus 로고    scopus 로고
    • A recurrent neural network for nonlinear optimization with a continuously differentiable objective function and bound constraints
    • Nov
    • X. B. Liang and J. Wang, "A recurrent neural network for nonlinear optimization with a continuously differentiable objective function and bound constraints," IEEE Trans. Neural Networks, vol. 11, pp. 1251-1262, Nov. 2000.
    • (2000) IEEE Trans. Neural Networks , vol.11 , pp. 1251-1262
    • Liang, X.B.1    Wang, J.2
  • 19
    • 0033163920 scopus 로고    scopus 로고
    • On the stability of globally projected dynamical systems
    • Y. S. Xia and J. Wang, "On the stability of globally projected dynamical systems," J. Optim. Theory Applicat., vol. 106, no. 1, pp. 129-150, 2000.
    • (2000) J. Optim. Theory Applicat. , vol.106 , Issue.1 , pp. 129-150
    • Xia, Y.S.1    Wang, J.2
  • 20
    • 0030106939 scopus 로고    scopus 로고
    • A new neural network for solving linear programming problems and its applications
    • Mar
    • Y. S. Xia and J. Wang, "A new neural network for solving linear programming problems and its applications," IEEE Trans. Neural Networks, vol. 7, pp. 525-529, Mar. 1996.
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 525-529
    • Xia, Y.S.1    Wang, J.2
  • 21
    • 0001201399 scopus 로고    scopus 로고
    • A new neural network for solving linear and quadratic programming problems
    • Nov
    • Y. S. Xia and J. Wang, "A new neural network for solving linear and quadratic programming problems," IEEE Trans. Neural Networks, vol. 7, pp. 1544-1547, Nov. 1996.
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 1544-1547
    • Xia, Y.S.1    Wang, J.2
  • 22
    • 0032208805 scopus 로고    scopus 로고
    • A general methodology for designing globally convergent optimization neural networks
    • Nov
    • Y. S. Xia and J. Wang, "A general methodology for designing globally convergent optimization neural networks," IEEE Trans. Neural Networks, vol. 9, pp. 1331-1343, Nov. 1998.
    • (1998) IEEE Trans. Neural Networks , vol.9 , pp. 1331-1343
    • Xia, Y.S.1    Wang, J.2
  • 23
    • 0034102116 scopus 로고    scopus 로고
    • A recurrent neural network for solving linear projection equations
    • Y. S. Xia and J. Wang, "A recurrent neural network for solving linear projection equations," Neural Networks, vol. 13, pp. 337-350, 2000.
    • (2000) Neural Networks , vol.13 , pp. 337-350
    • Xia, Y.S.1    Wang, J.2
  • 24
    • 0035246390 scopus 로고    scopus 로고
    • A dual neural network for kinematic control of redundant robot manipulators
    • Jan
    • Y. S. Xia and J. Wang, "A dual neural network for kinematic control of redundant robot manipulators," IEEE Trans. Syst., Man, Cybern. B, vol. 31, pp. 147-154, Jan. 2001.
    • (2001) IEEE Trans. Syst., Man, Cybern. B , vol.31 , pp. 147-154
    • Xia, Y.S.1    Wang, J.2
  • 25
    • 0036539447 scopus 로고    scopus 로고
    • A projection neural network and its application to constrained optimization problems
    • Apr
    • Y. S. Xia, H. Leung, and J. Wang, "A projection neural network and its application to constrained optimization problems," IEEE Trans. Circuits Syst. I, vol. 49, pp. 447-458, Apr. 2002.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , pp. 447-458
    • Xia, Y.S.1    Leung, H.2    Wang, J.3
  • 26
    • 2442472146 scopus 로고    scopus 로고
    • A generla projection neural network for solving monotone variational inequality and related optimization problems
    • Mar
    • Y. S. Xia and J. Wang, "A generla projection neural network for solving monotone variational inequality and related optimization problems," IEEE Trans. Neural Networks, vol. 15, pp. 318-328, Mar. 2004.
    • (2004) IEEE Trans. Neural Networks , vol.15 , pp. 318-328
    • Xia, Y.S.1    Wang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.