Patent ID: 7050953

Claim:
A continuous-based dynamical method for solving general unconstrained optimization problems having objective functions and a solution space of finite dimension, comprising the steps of: a) constructing a nonlinear continuous dynamical system possessing selected properties at least including the property that a point is a stable equilibrium point of the constructed nonlinear dynamical system if and only if it is a local optimal solution of the unconstrained optimization problem; b) finding all local optimal solutions of the general unconstrained optimization problem by the steps of: i) starting from an initial point; ii) finding a local optimal solution; iii) starting at the local optimal solution found in step (b)(ii), finding a set of local optimal solutions which are all stable equilibrium points of the constructed nonlinear dynamical system tier-by-tier by a method selected from the group comprising the exit point (EP) method and the dynamical decomposition point (DDP) method; c) choosing a global optimal solution as a best optimal solution from among the stable equilibrium points found in step (b)(iii).