# Distributed PID Control for Consensus of Homogeneous and Heterogeneous Networks

arXiv: https://arxiv.org/abs/1409.2324 · HTML: https://mlsanity.com/paper/1409.2324/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Sep 2014.

## Built on by (most cited first, 1 of 1)

- [A Neural Network Training Method Based on Distributed PID Control](https://mlsanity.com/paper/2411.14468/) (2024)

## Abstract (arXiv)

We investigate the use of distributed PID actions to achieve consensus in networks of homogeneous and heterogeneous linear systems. Convergence of the strategy is proved for both cases using appropriate state transformations and Lyapunov functions. The effectiveness of the theoretical results is illustrated via its application to a representative power grid model recently presented in the literature.