Journal article
Nonlinear convex and concave relaxations for the solutions of parametric ODEs
Abstract
SUMMARY Convex and concave relaxations for the parametric solutions of ordinary differential equations (ODEs) are central to deterministic global optimization methods for nonconvex dynamic optimization and open‐loop optimal control problems with control parametrization. Given a general system of ODEs with parameter dependence in the initial conditions and right‐hand sides, this work derives sufficient conditions under which an auxiliary system …
Authors
Scott JK; Chachuat B; Barton PI
Journal
Optimal Control Applications and Methods, Vol. 34, No. 2, pp. 145–163
Publisher
Wiley
Publication Date
March 2013
DOI
10.1002/oca.2014
ISSN
0143-2087