Fetching the paper…
Reading the bibliography…
Iterative linear-quadratic (ILQ) methods are widely used in the nonlinear optimal control community.
“Iterated LQR smoothing for locally-optimal feedback control of systems with non-linear dynamics and non-quadratic cost”
Jur van Berg · 1918
Earlier work this paper cites.
“Games of pursuit”, 1951
Rufus Isaacs · 1951
Earlier work this paper cites.
“Nonzero-sum differential games”
Alan Starr and Yu-Chi Ho · 1969
Earlier work this paper cites.
“Further properties of nonzero-sum differential games”
AW Starr and Yu-Chi Ho · 1969
Earlier work this paper cites.
“Differential dynamic programming”
David Jacobson and David Mayne · 1970
Earlier work this paper cites.
“Nonholonomic motion planning: Steering using sinusoids”
Richard Murray and Sosale Sastry · 1993
Earlier work this paper cites.
“Flatness, motion planning and trailer systems”
Pierre Rouchon, Michel Fliess, Jean L“’evine and Philippe Martin · 1993
Earlier work this paper cites.
“Neuro-dynamic programming”
Dimitri Bertsekas and John Tsitsiklis · 1996
Earlier work this paper cites.
“Dynamic Noncooperative Game Theory”
Tamer Basar and Geert Olsder · 1999
Cited alongside, same era.
“Nonlinear Systems: Analysis, Stability, and Control”
Shankar Sastry · 1999
Cited alongside, same era.
“Sequential linear quadratic method for differential games”
H Mukai et al · 2000
Cited alongside, same era.
“Iterative linear quadratic regulator design for nonlinear biological movement systems.”
Weiwei Li and Emanuel Todorov · 2004
Cited alongside, same era.
“Scaling up multiagent planning: A best-response approach”
Anders Jonsson and Michael Rovatsos · 2011
Cited alongside, same era.
“Minimum snap trajectory generation and control for quadrotors”
Daniel Mellinger and Vijay Kumar · 2011
Cited alongside, same era.
“Polynomial trajectory planning for aggressive quadrotor flight in dense indoor environments”
Charles Richter, Adam Bry and Nicholas Roy · 2016
Later among the works it cites.
“A generalized Nash equilibrium approach for optimal control problems of autonomous cars”
Axel Dreves and Matthias Gerdts · 2018
Later among the works it cites.
“Best response model predictive control for agile interactions between autonomous ground vehicles”
Grady Williams et al · 2018
Later among the works it cites.
David Fridovich-Keil, Ellis Ratner, Anca Dragan and Claire Tomlin · 2019
Closest in time.
“A best-response approach for equilibrium selection in two-player generalized Nash equilibrium problems”
Axel Dreves · 2019
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
“Control-limited differential dynamic programming”
Yuval Tassa, Nicolas Mansard and Emo Todorov · 2014
Cited alongside, same era.
“Planning for autonomous cars that leverage effects on human actions.”
Dorsa Sadigh, Shankar Sastry, Sanjit Seshia and Anca Dragan · 2016
Cited alongside, same era.
“Game Theoretic Motion Planning for Multi-robot Racing”
Zijian Wang, Riccardo Spica and Mac Schwager · 2019
Closest in time.
“Game Theoretic Planning for Self-Driving Cars in Competitive Scenarios”
Mingyu Wang et al · 2019
Closest in time.