Nonlinear Bipartite Output Regulation with Application to Turing Pattern

• URL: http://arxiv.org/abs/2305.15677v1
• Date: Thu, 25 May 2023 03:03:21 GMT
• Title: Nonlinear Bipartite Output Regulation with Application to Turing Pattern
• Authors: Dong Liang, Martin Guay, Shimin Wang
• Abstract summary: A nonlinear distributed observer is proposed for a nonlinear exosystem with cooperation-competition interactions to address the problem. As a practical application, a leader-following bipartite consensus problem is solved for a class of nonlinear multi-agent systems based on the observer.
• Score: 5.22349049062643
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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