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1、PAPER•OPENACCESSRelatedcontent-Anoteonminimum-variancetheoryandAchievingprecisemechanicalcontrolinbeyondJianfengFeng,GiangaetanoTartagliaandintrinsicallynoisysystemsBrunelloTirozzi-Whatdoesinflationreallypredict?MaxTegmarkTocitethisarticle:WenlianLuetal2013NewJ.Phys.15063012-Astudyo
2、nanoptimalmovementmodelJianfengFeng,KeweiZhangandYousongLuoViewthearticleonlineforupdatesandenhancements.Recentcitations-OntheSpikeTrainVariabilityCharacterizedbyVariance-to-MeanPowerRelationshipShinsukeKoyamaThiscontentwasdownloadedfromIPaddress117.165.43.154on12/09/2018at04:34Achi
3、evingprecisemechanicalcontrolinintrinsicallynoisysystemsWenlianLu1,2,3,JianfengFeng1,2,4,Shun-IchiAmari3andDavidWaxman11CentreforComputationalSystemsBiologyandSchoolofMathematicalSciences,FudanUniversity,Shanghai200433,People’sRepublicofChina2CentreforScientificComputing,Universityof
4、Warwick,CoventryCV47AL,UK3BrainScienceInstitute,RIKEN,Wako-shi,Saitama351-0198,JapanE-mail:jianfeng64@gmail.comNewJournalofPhysics15(2013)063012(25pp)Received2January2013Published10June2013Onlineathttp://www.njp.org/doi:10.1088/1367-2630/15/6/063012Abstract.Howcanprecisecontrolberea
5、lizedinintrinsicallynoisysystems?Here,wedevelopageneraltheoreticalframeworkthatprovidesawayofachievingprecisecontrolinsignal-dependentnoisyenvironments.WhenthecontrolsignalhasPoissonorsupra-Poissonnoise,precisecontrolisnotpossible.If,however,thecontrolsignalhassub-Poissonnoise,thenp
6、recisecontrolispossible.Forthiscase,theprecisecontrolsolutionisnotafunction,butarapidlyvaryingrandomprocessthatmustbeaveragedwithrespecttoagoverningprobabilitydensityfunctional.Ourtheoreticalapproachisappliedtothecontrolofstraight-trajectoryarmmovement.Sub-Poissonnoiseinthecontrolsi
7、gnalisshowntobecapableofleadingtoprecisecontrol.Intriguingly,thecontrolsignalforthissystemhasanaturalcounterpart,namelytheburstingpulsesofneurons—trainsofDirac-deltafunctions—inbiologicalsystemstoachieveprecisecontrolperformance.SOnlinesupplementarydataavailablefromstacks.iop.org/NJ
8、P/15/063012/mmedia4
