A Novel Recurrent Neural Network for Solving Nonlinear Optimization Problems With Inequality Constraints

This paper presents a novel recurrent neural network for solving nonlinear optimization problems with inequality constraints. Under the condition that the Hessian matrix of the associated Lagrangian function is positive semidefinite, it is shown that the proposed neural network is stable at a Karush...

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Bibliographic Details
Published in:	IEEE transactions on neural networks Vol. 19; no. 8; pp. 1340 - 1353
Main Authors:	Xia, Youshen, Feng, Gang, Wang, Jun
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.08.2008 Institute of Electrical and Electronics Engineers
Subjects:	Algorithms Application software Applied sciences Artificial Intelligence Computer science; control theory; systems Computer Simulation Computer systems and distributed systems. User interface Connectionism. Neural networks Constraint optimization Constraints Convergence Design engineering Exact sciences and technology Global convergence Inequalities Lagrangian functions Linear matrix inequalities Linear programming Models, Theoretical Neural networks Neural Networks (Computer) nonconvex programming Nonlinear Dynamics nonlinear inequality constraints Nonlinearity nonsmooth analysis Optimization Pattern Recognition, Automated - methods Projection recurrent neural network Recurrent neural networks Software Very large scale integration Recurrent neural nets nonlinear inequality constraints Non convex programming Global convergence Lagrangian recurrent neural network Lyapunov method nonconvex programming Nonlinear problems Non linear programming Network management Neural network Convex programming Constrained optimization nonsmooth analysis Inequality constraint Kuhn Tucker method Hessian matrices Non convex analysis Lyapunov function Mathematical programming
ISSN:	1045-9227, 1941-0093, 1941-0093
Online Access:	Get full text
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