4 papers
Mean-Field Oscillator Ising Machines: Gradient Flows and Classification of Limit Solutions
Arvind R. Venkatakrishnan, Max Emerick, Bassam Bamieh +1
Oscillator Ising Machines (OIMs) have emerged as promising computational architectures for approximating solutions to combinatorial optimization problems. We derive and analyze the…
On Distributed Control of Continuum Swarms: Local Controllers as Differential Operators
Max Emerick, Saroj Prasad Chhatoi, Bassam Bamieh
We study the problem of distributed control of large-scale robotic swarms which can be modeled as continuum densities evolving under the continuity equation. We propose a formaliza…
Incompressible Optimal Transport and Applications in Fluid Mixing
Max Emerick, Bassam Bamieh
The problem of incompressible fluid mixing arises in numerous engineering applications and has been well-studied over the years, yet many open questions remain. This paper aims to…
Optimal Assignment and Motion Control in Two-Class Continuum Swarms
Max Emerick, Stacy Patterson, Bassam Bamieh
We consider optimal swarm control problems where two different classes of agents are present. Continuum idealizations of large-scale swarms are used where the dynamics describe the…