# Nonlinear Bipartite Output Regulation with Application to Turing Pattern

arXiv: https://arxiv.org/abs/2305.15677 · HTML: https://mlsanity.com/paper/2305.15677/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 41 references that are in the map.
- First posted on arXiv 25 May 2023.

## Builds on (most cited first, 3 of 3)

- [Adaptive Leader-Following Consensus for Multiple Euler-Lagrange Systems with an Uncertain Leader System](https://mlsanity.com/paper/1909.07851/) (2019)
- [Structural balance and opinion separation in trust-mistrust social networks](https://mlsanity.com/paper/1605.08180/) (2016)
- [The Cooperative Output Regulation Problem of Discrete-Time Linear Multi-Agent Systems by the Adaptive Distributed Observer](https://mlsanity.com/paper/1703.10359/) (2017)

## Abstract (arXiv)

In this paper, a bipartite output regulation problem is solved for a class of nonlinear multi-agent systems subject to static signed communication networks. A nonlinear distributed observer is proposed for a nonlinear exosystem with cooperation-competition interactions to address the problem. Sufficient conditions are provided to guarantee its existence and stability. The exponential stability of the observer is established. As a practical application, a leader-following bipartite consensus problem is solved for a class of nonlinear multi-agent systems based on the observer. Finally, a network of multiple pendulum systems is treated to support the feasibility of the proposed design. The possible application of the approach to generate specific Turing patterns is also presented.