Analysis and Design of Large-Scale Multi-Agent Systems via Continuum Spatial Approximations

Abstract

By exploiting a PDE modeling approach, we propose here to address relevant questions for thecoordination of multiple agents and network design. Our research plan is divided into two broadobjectives. On the one hand, we will consider problems related to large swarm self-organization,by which distributed algorithms are to be design so that the swarm achieves a desired densityprofile. By exploiting tools in Differential Geometry and harmonic mapping analysis, we expect toobtain new strategies that agents can use in GPS denied environments under different operationalconstraints on density, connectivity and agent motion. On the other hand, we will consider prob-lems associated with large network design for increased performance and robustness in multi-agentnetworked systems. By resorting to PDE operator theory and Calculus of Variations, we secondlyaim to design algorithms that can help identify critical sets of nodes for a variety of objectives thatquantify the performance of underlying dynamic processes.

Document Details

Document Type
DoD Grant Award
Publication Date
Apr 09, 2018
Source ID
FA95501810158

Entities

People

  • Sonia Martinez Diaz

Organizations

  • Air Force Office of Scientific Research
  • United States Air Force
  • University of California, San Diego

Tags

Fields of Study

  • Computer science

Readers

  • Criminal Law
  • Distributed Systems and Data Platform Development
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers