Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2007-10-02
2007-10-02
Phan, Thai (Department: 2128)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
C703S006000, C700S049000, C706S010000
Reexamination Certificate
active
09849213
ABSTRACT:
A method for obtaining a global optimal solution of general nonlinear programming problems includes the steps of first finding, in a deterministic manner, all stable equilibrium points of a nonlinear dynamical system that satisfies conditions (C1) and (C2), and then finding from said points a global optimal solution. A practical numerical method for reliably computing a dynamical decomposition point for large-scale systems comprises the steps of moving along a search path φt(xs)≡{xs+ t×ŝ, tε+} starting from xsand detecting an exit point, xex, at which the search path φt(xs) exits a stability boundary of a stable equilibrium point xsusing the exit point xexas an initial condition and integrating a nonlinear system to an equilibrium point xd, and computing said dynamical decomposition point with respect to a local optimal solution xswherein the search path is xd.
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Bigwood Technology, Inc.
Brown & Michaels PC
Phan Thai
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