3 papers
eess.SY2017
PDE-Based Optimization for Stochastic Mapping and Coverage Strategies using Robotic Ensembles
Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman
This paper presents a novel partial differential equation (PDE)-based framework for controlling an ensemble of robots, which have limited sensing and actuation capabilities and exh…
eess.SY2017
Bilinear Controllability of a Class of Advection-Diffusion-Reaction Systems
Karthik Elamvazhuthi, Hendrik Kuiper, Matthias Kawski +1
In this paper, we investigate the exact controllability properties of an advection-diffusion equation on a bounded domain, using time- and space-dependent velocity fields as the co…
eess.SY2017
Controllability to Equilibria of the 1-D Fokker-Planck Equation with Zero-Flux Boundary Condition
Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman
We consider the problem of controlling the spatiotemporal probability distribution of a robotic swarm that evolves according to a reflected diffusion process, using the space- and…