Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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
Proceedings of the 8th Seminar of Dierential Equations, Dynamical Systems and their Applications
July 2011
Pages 85-100

  • Receive Date 26 August 2008
  • Revise Date 16 September 2008
  • Accept Date 17 September 2008