Abstract | ||
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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 |
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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 Mylvaganam | 1 | 40 | 9.84 |
Mario Sassano | 2 | 152 | 30.65 |
Alessandro Astolfi | 3 | 1554 | 169.77 |