PROJECTED DYNAMICAL SYSTEMS AND OPTIMIZATION PROBLEMS

Document Type: Other

Authors

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.

Keywords



Volume 37, No. 2
July and August 2011
Pages 85-100
  • Receive Date: 26 August 2008
  • Revise Date: 16 September 2008
  • Accept Date: 17 September 2008