Optimal control of discrete-time fractional multi-agent systems

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摘要

This paper deals with control strategies for discrete-time fractional multi-agent systems. By using the discrete fractional order operator we introduce memory effects to the considered problem. Necessary optimality conditions for discrete-time fractional optimal control problems with single- and double-summator dynamics are proved, and simulation results are presented.

论文关键词:49K99,26A33,39A99,90C25,Multi-agent systems,Emergent behavior,Consensus,Fractional-order systems,Optimal control

论文评审过程:Received 7 April 2017, Available online 26 October 2017, Version of Record 18 April 2018.

论文官网地址:https://doi.org/10.1016/j.cam.2017.10.014