4 papers
Non Normalized Shared-Constraint Dynamic Games for Human-Robot Collaboration with Asymmetric Responsibility
Mark Pustilnik, Francesco Borrelli
This paper proposes a dynamic game formulation for cooperative human-robot navigation in shared workspaces with obstacles, where the human and robot jointly satisfy shared safety c…
Non-Normalized Solutions of Generalized Nash Equilibrium in Autonomous Racing
Mark Pustilnik, Antonio Loquercio, Francesco Borrelli
In dynamic games with shared constraints, Generalized Nash Equilibria (GNE) are often computed using the normalized solution concept, which assumes identical Lagrange multipliers f…
On Sampling Time and Invariance
Spencer Schutz, Charlott Vallon, Ben Recht +1
Invariant sets define regions of the state space where system constraints are always satisfied. The majority of numerical techniques for computing invariant sets have been develope…
Generalized Nash Equilibrium Solutions in Dynamic Games With Shared Constraints
Mark Pustilnik, Francesco Borrelli
In dynamic games with shared constraints, Generalized Nash Equilibria (GNE) are often computed using the normalized solution concept, which assumes identical Lagrange multipliers f…