3 papers
math.OC2026
General-Sum Linear Regulator Games for Positive Systems
Alba Gurpegui, Monika Tomar, Takashi Tanaka
This paper studies a continuous-time general-sum non-cooperative game with linear costs, positive linear system dynamics, and elementwise linear input constraints. In the finite-ho…
math.OC2026
Linearly Solvable Continuous-Time General-Sum Stochastic Differential Games
Monika Tomar, Takashi Tanaka
This paper introduces a class of continuous-time, finite-player stochastic general-sum differential games that admit solutions through an exact linear PDE system. We formulate a di…
eess.SY2025
Multi-Level Multi-Fidelity Methods for Path Integral and Safe Control
Zhuoyuan Wang, Takashi Tanaka, Yongxin Chen +1
Sampling-based approaches are widely used in systems without analytic models to estimate risk or find optimal control. However, gathering sufficient data in such scenarios can be p…