%0 Journal Article
%T PROJECTED DYNAMICAL SYSTEMS AND
OPTIMIZATION PROBLEMS
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A MALEK, A.
%A EZAZIPOUR, S.
%A HOSSEINIPOUR-MAHANI, N.
%D 2011
%\ 07/15/2011
%V 37
%N No. 2
%P 85-100
%! PROJECTED DYNAMICAL SYSTEMS AND
OPTIMIZATION PROBLEMS
%K Dynamical systems
%K optimization problems
%K neural networks
%K variational inequalities
%K globally convergence
%R
%X 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.
%U http://bims.iranjournals.ir/article_326_2e2eda1f0dba9e345cd2cb4e8b33ad8b.pdf