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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426353
