Title | ||
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Approximate solutions to a class of nonlinear differential games using a shared dynamic extension |
Abstract | ||
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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 |
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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 Mylvaganam | 1 | 40 | 9.84 |
Mario Sassano | 2 | 152 | 30.65 |
Alessandro Astolfi | 3 | 1554 | 169.77 |