Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume 29, Issue 11, Pages 5726-5737Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2018.2811743
Keywords
Competition; cooperation; distributed consensus tracking; distributed stabilization; equi-competition; Euler-Lagrange system
Categories
Funding
- National Natural Science Foundation of China [61673107, 61722303, 61503103, 61572439]
- Natural Science Foundation of Jiangsu Province of China [BK20170079]
- China Postdoctoral Science Foundation [2016M600350]
- Australian Research Council [DE180101268]
- Jiangsu Key Laboratory of Networked Collective Intelligence [BM2017002]
- Hong Kong Research Grants Council through GRF [CityU 11234916]
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In this paper, the swarming behavior of multiple Euler-Lagrange systems with cooperation-competition interactions is investigated, where the agents can cooperate or compete with each other and the parameters of the systems are uncertain. The distributed stabilization problem is first studied, by introducing an auxiliary system to each agent, where the common assumption that the cooperation-competition network satisfies the digon sign-symmetry condition is removed. Based on the input-output property of the auxiliary system, it is found that distributed stabilization can be achieved provided that the cooperation subnetwork is strongly connected and the parameters of the auxiliary system are chosen appropriately. Furthermore, as an extension, a distributed consensus tracking problem of the considered multiagent systems is discussed, where the concept of equi-competition is introduced and a new pinning control strategy is proposed based on the designed auxiliary system. Finally, illustrative examples are provided to show the effectiveness of the theoretical analysis.
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