5 papers
Uncertainty Propagation in Stochastic Hybrid Systems with Dimension-Varying Resets
Tejaswi K. C., Taeyoung Lee
This paper studies probability density evolution for stochastic hybrid systems with reset maps that change the dimension of the continuous state across modes. Existing Frobenius--P…
Global Tensor Field Formulation of the Fokker-Planck Equation on Riemannian Manifolds
Taeyoung Lee, Gregory S. Chirikjian
This paper presents a global, coordinate-free formulation of the Fokker-Planck equation on Riemannian manifolds. In the Stratonovich formulation, the infinitesimal generator is exp…
Invariant Kalman Filter for Relative Dynamics
Tejaswi K. C., Maneesha Wickramasuriya, Silvere Bonnabel +2
This paper develops a geometric framework for invariant filtering of relative dynamics on Lie groups. We first revisit the notion of state trajectory independence, under which the…
Mean Field Game and Control for Switching Hybrid Systems
Tejaswi K. C., Taeyoung Lee
Mean field games and controls involve guiding the behavior of large populations of interacting agents, where each individual's influence on the group is negligible but collectively…
Uncertainty propagation of stochastic hybrid systems: a case study for types of jump
Tejaswi K. C., William Clark, Taeyoung Lee
Stochastic hybrid systems are dynamic systems that undergo both random continuous-time flows and random discrete jumps. Depending on how randomness is introduced into the continuou…