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arXiv · 2305.15677

Nonlinear Bipartite Output Regulation with Application to Turing Pattern

Dong Liang·Martin Guay·Shimin Wang
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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.

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Dong Liang, Martin Guay, Shimin Wang. 2023-05-25. Nonlinear Bipartite Output Regulation with Application to Turing Pattern. https://arxiv.org/abs/2305.15677

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