Name
Abstract | ||
|---|---|---|
A two-player nonlinear Stackelberg differential game with player 1 and player 2 as leader and follower, respectively, is considered. The feedback Stackelberg solutions to such games rely on the solution of two coupled partial differential equations (PDEs) for which closed-form solutions cannot in general be found. A method for constructing strategies satisfying partial differential inequalities in place of the PDEs is presented. It is shown that these constitute approximate solutions to the differential game. The theory is illustrated by a numerical example. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/CDC.2014.7039417 | Decision and Control |
Keywords | Field | DocType |
differential games,partial differential equations,PDE,feedback Stackelberg solutions,partial differential equations,partial differential inequalities,two-player nonlinear Stackelberg differential game | Mathematical optimization,Exponential integrator,Separable partial differential equation,Differential game,Differential algebraic equation,Distributed parameter system,Stackelberg competition,Integrating factor,Mathematics,Universal differential equation | Conference |
ISSN | Citations | PageRank |
0743-1546 | 0 | 0.34 |
References | Authors | |
4 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thulasi Mylvaganam | 1 | 40 | 9.84 |
| Alessandro Astolfi | 2 | 1554 | 169.77 |