373 citations · 525 across the 24 of their papers we have counts for
28 papers
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…
Implicit Boundary Conditions in Partial Differential Equations Discretizations: Identifying Spurious Modes and Model Reduction
Pascal R Karam, Bassam Bamieh
We revisit the problem of spurious modes that are sometimes encountered in partial differential equations discretizations. It is generally suspected that one of the causes for spur…
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…
A Short Introduction to the Koopman Representation of Dynamical Systems
Bassam Bamieh
The Koopman representation is an infinite dimensional linear representation of linear or nonlinear dynamical systems. It represents the dynamics of output maps (aka observables), w…
A Tutorial on Solution Properties of State Space Models of Dynamical Systems
Bassam Bamieh
The starting point of analysis of state space models is investigating existence, uniqueness and solution properties such as the semigroup property, and various formulas for the sol…
Scale Fragilities in Localized Consensus Dynamics
Emma Tegling, Bassam Bamieh, Henrik Sandberg
We consider distributed consensus in networks where the agents have integrator dynamics of order two or higher (). We assume all feedback to be localized in the sense that…