PROJECTED DYNAMICAL SYSTEMS AND OPTIMIZATION PROBLEMS

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Abstract:

We establish a relationship between general constrained pseudoconvex optimization problems and globally projected dynamical systems. A corresponding novel neural network model, which is globally convergent and stable in the sense of Lyapunov, is proposed. Both theoretical and numerical approaches are considered. Numerical simulations for three constrained nonlinear optimization problems are given to show that the numerical behaviors are in good agreement with the theoretical results.

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Journal title

volume 37  issue No. 2

pages  85- 100

publication date 2011-07-15

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