Loading…
A Unified Analytical Framework for Optimal Control Problems on Networks With Input Homogeneity
We consider optimal control problems on networks with input homogeneity and show a reduction to a universal set of reference problems without differential constraints, whose stationary points may be found analytically. Under suitable nondegeneracy conditions, the derivation shows that input homogene...
Saved in:
Published in: | IEEE transactions on control of network systems 2021-12, Vol.8 (4), p.1822-1832 |
---|---|
Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | We consider optimal control problems on networks with input homogeneity and show a reduction to a universal set of reference problems without differential constraints, whose stationary points may be found analytically. Under suitable nondegeneracy conditions, the derivation shows that input homogeneity results in constant candidate optimal control inputs for the problems of maximizing the terminal response, minimizing the control effort, or minimizing the terminal time, and that these control inputs depend smoothly on the problem data. These predictions are validated using numerical analysis of problems of synchronization of coupled phase oscillators and spreading dynamics on time-varying networks. |
---|---|
ISSN: | 2325-5870 2325-5870 2372-2533 |
DOI: | 10.1109/TCNS.2021.3088785 |