Abstract
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 non-degeneracy 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1822-1832 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Control of Network Systems |
| Volume | 8 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1 2021 |
Keywords
- Couplings
- Mathematical model
- Networks of Autonomous Agents
- Nonlinear Systems
- Optimal control
- Optimal Control
- Optimization
- Oscillators
- Process control
- Synchronization
- optimal control
- nonlinear systems
- optimization
- Networks of autonomous agents
ASJC Scopus subject areas
- Control and Optimization
- Signal Processing
- Control and Systems Engineering
- Computer Networks and Communications