13 citations · 34 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
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…
Mean-Field Controllability and Decentralized Stabilization of Markov Chains, Part II: Asymptotic Controllability and Polynomial Feedbacks
Shiba Biswal, Karthik Elamvazhuthi, Spring Berman
This paper, the second of a two-part series, presents a method for mean-field feedback stabilization of a swarm of agents on a finite state space whose time evolution is modeled as…
Mean-Field Controllability and Decentralized Stabilization of Markov Chains, Part I: Global Controllability and Rational Feedbacks
Karthik Elamvazhuthi, Vaibhav Deshmukh, Matthias Kawski +1
In this paper, we study the controllability and stabilizability properties of the Kolmogorov forward equation of a continuous time Markov chain (CTMC) evolving on a finite state sp…
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…