DocumentCode
3170262
Title
Approximate solutions to a class of nonlinear differential games
Author
Mylvaganam, T. ; Sassano, M. ; Astolfi, A.
Author_Institution
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
6489
Lastpage
6494
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.
Keywords
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; Approximation methods; Equations; Game theory; Games; Nonlinear systems; Optimal control; State feedback;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6426353
Filename
6426353
Link To Document