8 papers
Constrained minmax density transportation for linear parabolic PDEs: a numerical optimal control perspective
Siddhartha Ganguly, Vaibhav Upadhyay, Kenji Kashima +1
This article introduces a numerical optimal control framework for minmax constrained density control for a class of noisy linear parabolic partial differential equations (PDEs), in…
Continuous-Time Covariance Steering with Common Free-Final Time: Finite-Horizon Solutions and Infinite-Horizon Limits
Akan Selim, Fengjiao Liu, Siddhartha Ganguly +1
This article studies the optimal common free-final time problem for steering the state covariance of a continuous-time stochastic linear system between prescribed initial and termi…
Lifted Schrödinger Bridges for Gaussian Mixture Endpoints: Projection Gaps and Path-Space Obstructions
Siddhartha Ganguly, George Rapakoulias, Panagiotis Tsiotras
We study stochastic density control between Gaussian-mixture endpoint distributions under Brownian prior dynamics. Since the direct Schrödinger bridge between Gaussian mixtures is…
Covariance Steering of Discrete-Time Markov Jump Linear Systems with Multiplicative Noise
Fangji Wang, Siddhartha Ganguly, Panagiotis Tsiotras
We study a finite-horizon covariance steering problem for discrete-time Markov jump linear systems (MJLS) with both state- and control-dependent multiplicative noise. The objective…
Nonlinear Stochastic Optimal Control and Optimal Stopping using the Fokker-Planck Transformation
Akan Selim, Siddhartha Ganguly, Ali Pakniyat +1
In this paper, we develop a theoretical framework for nonlinear stochastic optimal control problems with optimal stopping by establishing a density-based deterministic representati…
Robust maximum hands-off optimal control: existence, maximum principle, and - equivalence
Siddhartha Ganguly, Kenji Kashima
This work advances the maximum hands-off sparse control framework by developing a robust counterpart for constrained linear systems with parametric uncertainties. The resulting opt…