7 papers
Fluid Mixing and Incompressible Optimal Transport
Max Emerick, John Igraszek, Bassam Bamieh
The problem of incompressible fluid mixing is long-studied, yet many questions remain open. This paper aims to address the question ``what do efficient flow fields for mixing look…
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…
Causal Tracking of Distributions in Wasserstein Space: A Model Predictive Control Scheme
Max Emerick, Jared Jonas, Bassam Bamieh
We consider a problem of optimal swarm tracking which can be formulated as a tracking problem for distributions in the Wasserstein space. Optimal solutions to this problem are non-…
Continuum Swarm Tracking Control: A Geometric Perspective in Wasserstein Space
Max Emerick, Bassam Bamieh
We consider a setting in which one swarm of agents is to service or track a second swarm, and formulate an optimal control problem which trades off between the competing objectives…