Title
Periodic Optimization Suffices for Infinite Horizon Planar Optimal Control
Abstract
Under quite general conditions we show that an infinite horizon optimal control problem with a state variable in the plane has a periodic solution. The latter may employ relaxed controls. We then examine the possibility of constructing an ordinary control approximation. An application to singularly perturbed control systems is displayed.
Year
DOI
Venue
2010
10.1137/090772617
SIAM J. Control and Optimization
Keywords
Field
DocType
periodic solution,general condition,ordinary control approximation,infinite horizon planar optimal,state variable,control system,infinite horizon optimal control,periodic optimization suffices,optimal control
Mathematical optimization,Optimal control,Mathematical analysis,Planar,Infinite horizon,State variable,Control system,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
48
8
0363-0129
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
Zvi Artstein19822.35
Ido Bright2101.13