On output consensus of heterogeneous dynamical networks

Yongkang Su; Lanlan Su; Sei Zhen Khong

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arXiv · 2408.13939

On output consensus of heterogeneous dynamical networks

Yongkang Su·Lanlan Su·Sei Zhen Khong

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Abstract

This work is concerned with interconnected networks with non-identical subsystems. We investigate the output consensus of the network where the dynamics are subject to external disturbance and/or reference input. For a network of output-feedback passive subsystems, we first introduce an index that characterises the gap between a pair of adjacent subsystems by the difference of their input-output trajectories. The set of these indices quantifies the level of heterogeneity of the networks. We then provide a condition in terms of the level of heterogeneity and the connectivity of the networks for ensuring the output consensus of the interconnected network.

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Yongkang Su, Lanlan Su, Sei Zhen Khong. 2024-08-25. On output consensus of heterogeneous dynamical networks. https://arxiv.org/abs/2408.13939

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