Interval Coordination of Multiagent Networks With Antagonistic Interactions

Su, Housheng, Wang, Xiaotian and Gao, Zhiwei (2022) Interval Coordination of Multiagent Networks With Antagonistic Interactions. IEEE Transactions on Automatic Control. ISSN 0018-9286 (In Press)

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Official URL: https://doi.org/10.1109/tac.2022.3184652

Abstract

This paper studies interval coordination problems for multiagent systems with antagonistic interactions. For strongly connected signed networks, it is shown that when the intersection of intervals imposed by agents is nonempty: (1) the multiagent system achieves bipartite consensus with structurally balanced network; (2) all agents’ states must converge to 0, if the signed network is structurally unbalanced. We establish the consensus conditions for bipartite consensus and zero-value consensus by employing the Gauge Transformation and robust analysis of signed networks. When the signed networks are strongly connected and the intersection of intervals is empty, the system reaches an asymptotically stable and unique equilibrium. Moreover, the equilibrium states are only decided by the network structure and interval constraints, and are not related to initial agents’ states. Associating the equilibrium of dynamics with the solution of a system of nonlinear equations, we obtain the uniqueness, stability and continuity of equilibria. Finally, numerical simulations are presented to illustrate the theoretical results.

Item Type: Article
Additional Information: Funding information: National Natural Science Foundation of China (Grant Number: 61991412 and 61873318) Program for HUST Academic Frontier Youth Team (Grant Number: 2018QYTD07)
Uncontrolled Keywords: Robustness, Security, Stability criteria, Social networking (online), Upper bound, Systematics, Multi-agent systems
Subjects: H600 Electronic and Electrical Engineering
Depositing User: Rachel Branson
Date Deposited: 07 Jul 2022 15:01
Last Modified: 07 Jul 2022 15:06
URI: http://nrl.northumbria.ac.uk/id/eprint/49510

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