Title
Applications of a New Dual Approach in Global Optimization and Optimal Control Problem
Abstract
This paper presents a novel approach based on canonical dual theory to discuss global optimization and nonlinear optimal control problems. By introducing a differential flow on the dual feasible space, a set of complete solutions is given regardless of convexity or nonconvexity of the original problem. Meanwhile, applications to a class of linear quadratic optimal control problems are discussed. An analytical form of the optimal control is expressed.
Year
DOI
Venue
2012
10.1109/CSO.2012.73
CSO
Keywords
Field
DocType
novel approach,analytical form,nonlinear optimal control problem,optimal control,new dual approach,global optimization,differential flow,linear quadratic optimal control,optimal control problem,dual feasible space,complete solution,canonical dual theory,polynomials,duality mathematics,analytic solution
Mathematical optimization,Convexity,Optimal control,Global optimization,Dual control theory,Linear-quadratic-Gaussian control,Duality (mathematics),Computer science,Duality (optimization),Quadratic programming
Conference
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Dan Wu12318272.22
Yong Xu299.53