Distributed optimal consensus of second-order multi-agent systems

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Dear editor,rnFor multi-agent systems,consensus is the most fundamental problem,for which,vast studies have been reported,but a few achieved optimal protocols[1-9].As well known,opti-mal consensus is nontrivial due to the mismatching between the whole performance optimization(which usually leads to a centralized protocol)and the given distributed communi-cation topology[1].This makes that for a pre-given global cost functional,a distributed optimal protocol usually can-not be derived based on certain Riccati equation[1-3],for which suboptimal protocol could be attempted[4,5].De-spite proposing distributed optimal protocols,Refs.[6,7]merely focus on local cost functionals(rather than global),and Refs.[3,8,9]only consider post-given or man-made(to some extent)global cost functionals,which lack practical significance.Notably,Ref.[1]developed a novel design strat-egy of distributed optimal protocol for pre-given global cost functional and topology,but the strategy is only applicable to single-integrator agents.
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