Title
Optimal Control Formulation for Complementarity Dynamical Systems.
Abstract
In this paper, we show that the complementarity dynamical systems can be reformulated as optimal control problems. By using this reformulation, we present a pseudospectral scheme to discretize the complementarity dynamical systems. Applying this discretization, the complementarity dynamical system is reduced to a sequence of nonlinear programming problems. Numerical examples and comparison with two other methods are included to demonstrate the capability of the proposed method.
Year
DOI
Venue
2017
10.1007/s10957-017-1178-0
J. Optimization Theory and Applications
Keywords
Field
DocType
Complementarity dynamical system,Optimal control problem,Nonlinear complementarity function,Legendre pseudospectral method,90C33,49M37,90C30
Complementarity (molecular biology),Linear dynamical system,Mathematical optimization,Mathematical analysis,Pseudospectral optimal control,Complementarity theory,Dynamical systems theory,Legendre pseudospectral method,Mixed complementarity problem,Dynamical system,Mathematics
Journal
Volume
Issue
ISSN
175
2
0022-3239
Citations 
PageRank 
References 
0
0.34
16
Authors
2
Name
Order
Citations
PageRank
S. Mohsen Miri130.74
Effati Sohrab227630.31