Inverse Open-Loop Noncooperative Differential Games and Inverse Optimal Control
We consider the problem of computing parameters of player cost functionals such that given state and control trajectories constitute an open-loop Nash equilibrium for a noncooperative differential game. We propose two methods for solving this inverse differential game problem and novel conditions un...
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| Veröffentlicht in: | IEEE transactions on automatic control 2020-02, Vol.65 (2), p.897-904 |
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| container_title | IEEE transactions on automatic control |
| container_volume | 65 |
| creator | Molloy, Timothy L. Inga, Jairo Flad, Michael Ford, Jason J. Perez, Tristan Hohmann, Soren |
| description | We consider the problem of computing parameters of player cost functionals such that given state and control trajectories constitute an open-loop Nash equilibrium for a noncooperative differential game. We propose two methods for solving this inverse differential game problem and novel conditions under which our methods compute unique cost-functional parameters. Our conditions are analogous to persistence of excitation conditions in adaptive control and parameter estimation. The efficacy of our methods is illustrated in simulations. |
| doi_str_mv | 10.1109/TAC.2019.2921835 |
| format | Article |
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| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Adaptive control Australia Computer simulation Differential equations Differential games Economic models Game theory Games inverse differential games inverse optimal control Nash equilibrium Optimal control Optimization Parameter estimation Trajectory Trajectory control |
| title | Inverse Open-Loop Noncooperative Differential Games and Inverse Optimal Control |
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