A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling

K Craig, K Elamvazhuthi, M Haberland… - Mathematics of …, 2023 - ams.org
As a counterpoint to classical stochastic particle methods for linear diffusion equations, such
as Langevin dynamics for the Fokker-Planck equation, we develop a deterministic particle …

Efficient quantitative assessment of robot swarms: coverage and targeting Lévy strategies

S Duncan, G Estrada-Rodriguez, J Stocek… - Bioinspiration & …, 2022 - iopscience.iop.org
Biologically inspired strategies have long been adapted to swarm robotic systems, including
biased random walks, reaction to chemotactic cues and long-range coordination. In this …

Interacting particles with Lévy strategies: limits of transport equations for swarm robotic systems

G Estrada-Rodriguez, H Gimperlein - SIAM Journal on Applied Mathematics, 2020 - SIAM
Lévy robotic systems combine superdiffusive random movement with emergent collective
behavior from local communication and alignment in order to find rare targets or track …

Collective motion planning for a group of robots using intermittent diffusion

C Frederick, M Egerstedt, H Zhou - Journal of Scientific Computing, 2022 - Springer
In this work we establish a simple yet effective strategy, based on intermittent diffusion, for
enabling a group of robots to accomplish complex tasks, shape formation and assembly. We …

Intermittent diffusion-based path planning for heterogeneous groups of mobile sensors in cluttered environments

C Frederick, H Zhou, F Crosby - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
This paper presents a method for task-oriented path planning and collision avoidance for a
group of heterogeneous holonomic mobile sensors. It is a generalization of the authors' prior …

Quantifying robotic swarm coverage

BG Anderson, E Loeser, M Gee, F Ren… - Informatics in Control …, 2020 - Springer
In the field of swarm robotics, the design and implementation of spatial density control laws
has received much attention, with less emphasis being placed on performance evaluation …

Quantifying Robotic Swarm Coverage

AL Bertozzi - Informatics in Control, Automation and Robotics …, 2019 - books.google.com
In the field of swarm robotics, the design and implementation of spatial density control laws
has received much attention, with less emphasis being placed on performance evaluation …