Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 67, Issue 2, Pages 365-369Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2019.2912331
Keywords
Laplace equations; Protocols; Multi-agent systems; Distributed databases; Couplings; Kinetic theory; Circuits and systems; Fractional-order; multi-agent system; consensus; sampled data; communication width
Categories
Funding
- National Natural Science Foundation of China [61873318]
- Program for Core Technology Tackling Key Problems of Dongguan City [2019622101007]
- Natural Science Foundation of Hubei Province of China [2018CFA058]
- Wuhan Morning Light Plan of Youth Science and Technology [2017050304010288]
- Fundamental Research Funds for the Central Universities [HUST: 2017KFYXJJ178]
- Program for HUST Academic Frontier Youth Team
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The leaderless consensus of fractional-order multi-agent systems (FOMASs) by intermittence sampled data control method is investigated in this brief, for which a distributed intermittence sampled data control protocol is presented to reduce the updating rate and working time of controllers. Subsequently, the Laplace transform and the stability theory are utilized to derive some necessary and sufficient consensus criteria that show the relations among the fractional order, sampling period, communication width, coupling strengths, and network topology. What is more, it can be discovered that both the communication width and sampling period have the lower and upper bounds for given networks to attain leaderless consensus. Finally, a numerical simulation example is presented to prove the theoretical results.
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