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Iterative Stackelberg equilibrium finding for linear quadratic differential games
File(s)
Author(s)
Nortmann, Benita
Das, Pranoy
Gupta, Vijay
Mylvaganam, Thulasi
Type
Journal Article
Abstract
We propose two iterative methods to determine a linear feedback Stackelberg equilibrium solution in two-player linear quadratic differential games between a leader and a follower. The update laws involve the solution of Lyapunov or Riccati equations. Conditions for recursive feasibility and local convergence of the update laws are analysed and illustrated via numerical examples.
Date Issued
2026-01-01
Date Acceptance
2025-09-12
Citation
Automatica, 2026, 183
URI
URL
DOI
ISSN
0005-1098
Publisher
Elsevier
Journal / Book Title
Automatica
Volume
183
Copyright Statement
Subject to copyright. This paper is embargoed until publication. Once published the author’s accepted manuscript will be made available under a CC-BY License in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy).
Publication Status
Published
Article Number
112648
Date Publish Online
2025-10-15