Title
Approximate solutions to a class of nonlinear differential games using a shared dynamic extension
Abstract
A class of nonzero-sum differential games is considered and a dynamic state feedback control law that approximates the solution of the differential game is proposed. The control law relies upon the solution of algebraic equations in place of partial differential equations or inequalities and makes use of dynamics shared by the players, thus relaxing the structural assumption required in [1]. The idea is firstly illustrated by the two-player case and then extended to the N-player case. A simple numerical example completes the paper.
Year
Venue
Keywords
2013
Control Conference
algebra,control system synthesis,differential games,nonlinear differential equations,state feedback,algebraic equation,approximate solution,dynamic state feedback control law,nonlinear differential games,nonzero-sum differential games,partial differential equation,shared dynamic extension
Field
DocType
Citations 
Applied mathematics,Mathematical optimization,Separable partial differential equation,Differential algebraic geometry,Differential game,Numerical partial differential equations,Differential algebraic equation,Examples of differential equations,Stochastic partial differential equation,Delay differential equation,Mathematics
Conference
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Thulasi Mylvaganam1409.84
Mario Sassano215230.65
Alessandro Astolfi31554169.77