Nonlinear Bipartite Output Regulation with Application to Turing Pattern
Abstract
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.
Cite
@article{arxiv.2305.15677,
title = {Nonlinear Bipartite Output Regulation with Application to Turing Pattern},
author = {Dong Liang and Martin Guay and Shimin Wang},
journal= {arXiv preprint arXiv:2305.15677},
year = {2023}
}
Comments
8 pages,six figures