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Neural Computing and Applications

Erschienen in:

01.08.2013 | Original Article

A new result for projection neural networks to solve linear variational inequalities and related optimization problems

verfasst von: Bonan Huang, Huaguang Zhang, Dawei Gong, Zhanshan Wang

Erschienen in: Neural Computing and Applications | Ausgabe 2/2013

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Abstract

In recent years, a projection neural network was proposed for solving linear variational inequality (LVI) problems and related optimization problems, which required the monotonicity of LVI to guarantee its convergence to the optimal solution. In this paper, we present a new result on the global exponential convergence of the projection neural network. Unlike existing convergence results for the projection neural network, our main result does not assume the monotonicity of LVI problems. Therefore, the projection neural network can be further guaranteed to solve a class of non-monotone LVI and non-convex optimization problems. Numerical examples illustrate the effectiveness of the obtained result.

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Bertsekas DP (1989) Parallel and distributed computation: numerical methods. Prentice-Hall, Upper Saddle River, NJMATH

Facchinei F, Pang JS (2003) Finite dimensional variational inequalities and complementarity problems. Springer, New York

He BS, Yang ZH, Yuan XM (2004) An approximate proximal-extragradient type method for monotone variational inequalities. J Math Anal Appl 300:362–374MathSciNetMATHCrossRef

Solodov MV, Tseng P (1996) Modified projection-type methods for monotone variational inequalities. SIAM J Cont Optim 34:1814–1830MathSciNetMATHCrossRef

Meng J, Wang X (2007) Robust anti-synchronization of a class of delayed chaotic neural networks. Chaos 17:023113MathSciNetCrossRef

Meng J, Wang X (2008) Generalized projective synchronization of a class of delayed neural networks. Mod Phys Lett B 22:181–190MathSciNetMATHCrossRef

Lin D, Wang X, Wang L (2009) Controlling the multi-scroll chaotic attractors using fuzzy neural networks compensator. Chin J Phys 47:686–701

Wang X, Zhao J (2010) Cryptanalysis on a parallel keyed hash function based on chaotic neural network. Neurocomputing 73:3224–3228CrossRef

Lin D, Wang X, Nian F, Zhang Y (2010) Dynamic fuzzy neural networks modeling and adaptive backstepping tracking control of uncertain chaotic systems. Neurocomputing 73:2873–2881CrossRef

10.

Lin D, Wang X (2011) Self-organizing adaptive fuzzy neural control for the synchronization of uncertain chaotic systems with random-varying parameters. Neurocomputing 74:2241–2249CrossRef

11.

Xia Y (2000) A recurrent neural network for solving linear projection equations. Neural Netw 13:337–350CrossRef

12.

Xia Y, Leung H, Wang J (2002) A projection neural network and its application to constrained optimization problems. IEEE Trans Circuits Syst-I Regul Pap 49:447–458MathSciNetCrossRef

13.

Xia Y (2004) Further results on global convergence and stability of globally projected dynamical systems. J Optimiz Theory Appl 122:627–649MATHCrossRef

14.

Liu Q, Cao J, Xia J (2005) A delayed neural network for solving linear projection equations and its analysis. IEEE Trans Neural Netw 16:834–843CrossRef

15.

Hu X, Wang J (2006) Solving pseudomonotone variational inequalities and pseudo-convex optimization problems using the projection neural network. IEEE Trans Neural Netw 17:1487–1499CrossRef

16.

Hu X, Wang J (2007) Degign of general projection neural networks for solving monotone linear variational inequalities and linear and quadratic optimization problems. IEEE Trans Syst Man Cybern Part B Cybern 37:1414–1421CrossRef

17.

Cheng L, Hou Z, Tan M (2009) Solving linear variational inequalities by projection neural network with time-varying delays. Phys Lett A 373:1739–1743MATHCrossRef

18.

Cheng L, Hou Z, Tan M (2009) A delayed projection neural network for solving linear variational inequalities. IEEE Trans Neural Netw 20:915–925CrossRef

19.

Gao X, Liao L (2010) A new one-layer neural network for linear and quadratic programming. IEEE Trans Neural Netw 21:918–929CrossRef

20.

Liu Q, Cao J, Chen G (2010) A novel recurrent neural network with finite-time convergence for linear programming. Neural Comput 22:2962–2978MathSciNetMATHCrossRef

21.

Liu Q, Wang J (2011) Finite-time convergent recurrent neural network with a hard-limiting activation function for constrained optimization with piecewise-linear objective functions. IEEE Trans Neural Netw 22:601–613CrossRef

22.

Liu Q, Guo Z, Wang Z (2012) A one-layer recurrent neural network for constrained pseudoconvex optimization and its application for dynamic portfolio optimization. Neural Netw 26:99–109MATHCrossRef

23.

Tao Q, Liu X, Xue MS (2004) A dynamic genetic algorithm based on continuous neural networks for a kind of nonconvex optimization problems. Appl Mathem Comput 150:811–820MathSciNetMATHCrossRef

24.

Bazaraa MS, Sherali HD, Shetty CM (1993) Nonlinear programming: theory and algorithms, 2nd edn. Wiley, New York

25.

Friesz TL, Bernstein D, Mehta NJ, Tobin RL, Ganjalizadeh S (1994) Day-to-day dynamic network disequilibria and idealized traveler information systems. Operat Res Soc Am 42:1120–1136MathSciNetMATH

26.

Zhang H, Quan Y (2001) Modeling, identification, and control of a class of nonlinear systems. IEEE Trans Fuzzy Syst 9:349–354

27.

Zhang H, Wang Z, Liu D (2008) Global asymptotic stability of recurrent neural networks with multiple time-varying delays. IEEE Trans Neural Netw 19:855–873

28.

Zhang H, Ma T, Huang G (2010) Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE Trans Syst Man Cybern Part B Cybern 40:831–844

Titel: A new result for projection neural networks to solve linear variational inequalities and related optimization problems
verfasst von: Bonan Huang
Huaguang Zhang
Dawei Gong
Zhanshan Wang
Publikationsdatum: 01.08.2013
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe 2/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-012-0918-1

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