30 citations · 61 across the 30 of their papers we have counts for
29 papers · 1 filter
Linear Exponential Quadratic Gaussian Covariance Steering
Chiran B. Cherian, Yasemin Isik, Abhishek Halder
We formulate and analyze the linear exponential quadratic Gaussian (LEQG) covariance steering problem in continuous time over a given deadline (finite time horizon). The solution f…
Neural Schrödinger Bridge with Sinkhorn Losses: Application to Data-driven Minimum Effort Control of Colloidal Self-assembly
Iman Nodozi, Charlie Yan, Mira Khare +2
We show that the minimum effort control of colloidal self-assembly can be naturally formulated in the order-parameter space as a generalized Schrödinger bridge problem -- a class o…
Optimal Mass Transport over the Euler Equation
Charlie Yan, Iman Nodozi, Abhishek Halder
We consider the finite horizon optimal steering of the joint state probability distribution subject to the angular velocity dynamics governed by the Euler equation. The problem and…
A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly
Iman Nodozi, Jared O'Leary, Ali Mesbah +1
We propose formulating the finite-horizon stochastic optimal control problem for colloidal self-assembly in the space of probability density functions (PDFs) of the underlying stat…
A Note on the Hausdorff Distance between Norm Balls and their Linear Maps
Shadi Haddad, Abhishek Halder
We consider the problem of computing the (two-sided) Hausdorff distance between the unit and norm balls in finite dimensional Euclidean space for $1 \…
Certifying the Intersection of Reach Sets of Integrator Agents with Set-valued Input Uncertainties
Shadi Haddad, Abhishek Halder
We consider the problem of verifying safety for a pair of identical integrator agents in continuous time with compact set-valued input uncertainties. We encode this verification pr…