简介：Lowgainfeedbackreferstocertainfamiliesofstabilizingstatefeedbackgainsthatareparameterizedinascalarandgotozeroasthescalardecreasestozero.Lowgainfeedbackwasinitiallyproposedtoachievesemi-globalstabilizationoflinearsystemssubjecttoinputsaturation.Itwasthencombinedwithhighgainfeedbackindifferentwaysforsolvingvariouscontrolproblems.Theresultingfeedbacklawsarereferredtoaslow-and-highgainfeedback.Sincetheintroductionoflowgainfeedbackinthecontextofsemi-globalstabilizationoflinearsystemssubjecttoinputsaturation,therehasbeenefforttodevelopalternativemethodsforlowgaindesign,tocharacterizekeyfeaturesoflowgainfeedback,andtoexplorenewapplicationsofthelowgainandlow-and-highgainfeedback.Thispaperreviewsthedevelopmentsinlowgainandlow-and-highgainfeedbackdesigns.

简介：Thispaperinvestigatestheinfluenceoflow-carbonpoliciesonchannelcoordinationforatwo-echelonsupplychainconsistingofonesupplierandoneretailer.Fourdifferentmodelsareconsidered:thebasicmodel,thecarbonemissionmodel,thecarbonemissiontradingmodelandthecarbontaxmodel.Wefindthatthegovernmentpolicyonallcarbonemissionmodelsisnotuniversalamongthefirmsaswellasthecustomers.Thecarbonemissiontradingpolicyisalwaysbetterthanthecarbonemissionpolicyandthecarbontaxpolicywhentheallocatedcarbonemissionquotasaregreaterthanthecarbonemissions.Thecarbonemissiontradingpolicyisprovedtobeaneffectivemechanismwhichcanmotivatethesupplychaintoreducecarbonemissions.Undercertainconditions,thesupplychainprefersthecarbonemissiontradingpolicywithhighercarbonpricetootherpolicies.IntheframeworkofStackelberggamewiththesupplierastheleader,foreachcarbonpolicy,thepaperpresentscoordinationmechanismwiththeall-unitwholesalequantitydiscountcontract(AWQD).Weanalyzeandcomparetheinfluenceoflow-carbonpoliciesonchannelcoordinationforthefourlow-carbonpolicies.Numericalexperimentsareconductedtoexamineourfindings.

简介：A。Kaneko和K。Ota证明了那为一最低限度地(n，λ)连接了图G，如果|G|=p≥3n-1，然后e(G)≤nλ(|G|-n)；并且如果e(G)=nλ(|G|-n)，当时，G对图K_同形(n，p-n)从完全的由两部组成的图K_被获得的~λ(n，p-n)由用λ代替每个边多重边；如果3n-1≥|G|≥n+1，然后e(G)≤λ(|G|+n)~2/8。在这篇论文，我们决定所有最低限度地(n，λ)与顺序p和最大的尺寸λ(p+n连接了图)为3n-1≥p≥n+的~2/81为3n-1≥p≥n+1。

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