Large Scale Embedded and Combinatoric Networked Systems- Structure, Dynamics, Optimization and Redesign
Abstract
The purpose of the research program presented here is to focus a coordinated research effort on the problems which arise in the analysis, optimization, dynamic control and adaptive design of large scale networked (LSN) dynamical systems, in particular those involving large populations on embedded networks. Despite the breadth of the problem area, certain ideas will play a key role, including-(i) Low-rank approximations to networked linear systems’ graphon models, which largely determines their controllability and permits approximately optimal control computations. (ii) Mean field -Nash equilibria and optima for infinite networked systems. (iii) Q-Wiener processes which may be integrated into infinite linear embedded networked systems for modelling, prediction and control. (iv) Recently developed notions of network centrality and their group invariance properties.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 22, 2024
- Source ID
- FA95502310015
Entities
People
- Peter E. Caines
Organizations
- Air Force Office of Scientific Research
- United States Air Force