Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays

Jun Liu, Kaiyu Qin, Wei Chen, Ping Li and Mengji Shi

Mathematical Problems in Engineering, 2018, vol. 2018, 1-9

Abstract:

Due to the complex external environment, many multiagent systems cannot be precisely described or even cannot be described by an integer-order dynamical model and can only be described by a fractional-order dynamical model. In this paper, consensus problems are investigated for two types of fractional-order multiagent systems (FOMASs) with nonuniform time delays: FOMAS with symmetric time delays and undirected topology and FOMAS with asymmetric time delays and directed topology. Employing the Laplace transform and the frequency-domain theory, two delay margins are obtained to guarantee the consensus for the two types of FOMAS, respectively. These results are also suitable for the integer-order dynamical model. Finally, simulation results are provided to illustrate the effectiveness of our theoretical results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2850757

DOI: 10.1155/2018/2850757

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