简介:InthepaperweuseanonsingularfunctionasanelementaryrecurringfunctiontogenerateaportiongraphG(f)onr-arydeBruijn-goodgraph,defineorderfunctiononG(f),constructassociatedstatematrixsets,mergecyclesbyinterchangingsuccessorsofassociatedstatestoformafulllengthcycle-theHamiltoncycleonr-arydeBruijn-goodgraph(ther-aryd(?)Bruijnsequence).
简介:ThestudyofthecontrolandstabilizationoftheKdVequationbeganwiththeworkofRussellandZhanginlate1980s.Bothexactcontrolandstabilizationproblemshavebeenintensivelystudiedsincethenandsignificantprogresseshavebeenmadeduetomanypeople'shardworkandcontributions.Inthisarticle,theauthorsintendtogiveanoverallreviewoftheresultsobtainedsofarinthestudybutwithanemphasisonitsrecentprogresses.Alistofopenproblemsisalsoprovidedforfurtherinvestigation.