36 citations · 122 across the 31 of their papers we have counts for
5 papers · 1 filter
Entropic and displacement interpolation: a computational approach using the Hilbert metric
Yongxin Chen, Tryphon T. Georgiou, Michele Pavon
Monge-Kantorovich optimal mass transport (OMT) provides a blueprint for geometries in the space of positive densities -- it quantifies the cost of transporting a mass distribution…
Steering state statistics with output feedback
Yongxin Chen, Tryphon T. Georgiou, Michele Pavon
Consider a linear stochastic system whose initial state is a random vector with a specified Gaussian distribution. Such a distribution may represent a collection of particles abidi…
Optimal control of the state statistics for a linear stochastic system
Yongxin Chen, Tryphon Georgiou, Michele Pavon
We consider a variant of the classical linear quadratic Gaussian regulator (LQG) in which penalties on the endpoint state are replaced by the specification of the terminal state di…
Optimal mass transport over bridges
Yongxin Chen, Tryphon Georgiou, Michele Pavon
We present an overview of our recent work on implementable solutions to the Schroedinger bridge problem and their potential application to optimal transport and various generalizat…
Optimal transport over a linear dynamical system
Yongxin Chen, Tryphon Georgiou, Michele Pavon
We consider the problem of steering an initial probability density for the state vector of a linear system to a final one, in finite time, using minimum energy control. In the case…