Title
Approximate solutions to a class of nonlinear differential games
Abstract
A method to find approximate solutions to a class of nonzero-sum differential games without solving partial differential equations is introduced. The solution relies upon the use of a dynamic state feedback control law and the solution of algebraic equations. The two-player case is addressed before the N-player case is discussed and a numerical example with two players illustrates the theory.
Year
DOI
Venue
2012
10.1109/CDC.2012.6426353
Decision and Control
Keywords
Field
DocType
differential games,nonlinear differential equations,partial differential equations,state feedback,N-player case,algebraic equations solution,approximate solutions,dynamic state feedback control law,nonlinear differential games class,nonzero-sum differential games,partial differential equations,two-player case
Mathematical optimization,Exponential integrator,Separable partial differential equation,Control theory,Differential algebraic geometry,Numerical partial differential equations,Differential algebraic equation,Examples of differential equations,Stochastic partial differential equation,Mathematics,Universal differential equation
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-4673-2064-1
978-1-4673-2064-1
4
PageRank 
References 
Authors
0.64
6
3
Name
Order
Citations
PageRank
Thulasi Mylvaganam1409.84
Mario Sassano215230.65
Alessandro Astolfi31554169.77