Solution Sets for Inverse Non-Cooperative Linear-Quadratic Differential Games | Zendy

Jairo Inga | Zendy; Esther Bischoff | Zendy; Timothy L. Molloy | Zendy; Michael Flad | Zendy; Sören Hohmann | Zendy

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Solution Sets for Inverse Non-Cooperative Linear-Quadratic Differential Games

Author(s) -

Jairo Inga,

Esther Bischoff,

Timothy L. Molloy,

Michael Flad,

Sören Hohmann

Publication year - 2019

Publication title -

ieee control systems letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.154

H-Index - 21

ISSN - 2475-1456

DOI - 10.1109/lcsys.2019.2919271

Subject(s) - nash equilibrium , differential game , mathematics , differential (mechanical device) , mathematical optimization , riccati equation , best response , mathematical economics , computer science , differential equation , mathematical analysis , aerospace engineering , engineering

This letter addresses the inverse problem of differential games, where the aim is to compute cost functions which lead to observed Nash equilibrium trajectories. The solution of this problem allows the generation of a model for inferring the intent of several agents interacting with each other. We present a method to find all cost functions which lead to the same Nash equilibrium in an infinite-ho...

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