03343nam 2200625 450 991079698130332120230814223134.03-11-047283-X3-11-047398-410.1515/9783110473988(CKB)4100000005043692(MiAaPQ)EBC5156198(DE-B1597)463682(OCoLC)1041991560(DE-B1597)9783110473988(Au-PeEL)EBL5156198(EXLCZ)99410000000504369220180913d2018 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFractional order crowd dynamics cyber-human system modeling and control /Kecai Cao, YangQuan ChenBoston ;Berlin :De Gruyter,[2018]©20181 online resource (140 pages)Fractional calculus in applied sciences and engineering ;Volume 43-11-047281-3 Frontmatter -- Preface -- Contents -- Acronyms -- 1. Introduction -- Part I. Fractional modeling of large crowds of pedestrians -- 2. Microscopic model of fractional order for evacuation of crowds -- 3. Macroscopic model of fractional order for crowds of pedestrians -- 4. Mesoscopic model of fractional order for crowds of pedestrians -- Part II: Fractional control of large crowds of pedestrians -- 5. Cluster consensus for crowds of pedestrians at micro-scale -- 6. Feedback control of crowds of pedestrians at macro-scale -- 7. Intelligent evacuation systems for crowds of pedestrians -- IndexThis book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers. Fractional calculus in applied sciences and engineering ;Volume 4.2509-7210Pedestrian traffic flowMathematical modelsFractional calculusMATHEMATICS / Differential EquationsbisacshMATHEMATICS / Mathematical AnalysisbisacshMATHEMATICS / CalculusbisacshMATHEMATICS / AppliedbisacshPedestrian traffic flowMathematical models.Fractional calculus.MATHEMATICS / Differential Equations.MATHEMATICS / Mathematical Analysis.MATHEMATICS / Calculus.MATHEMATICS / Applied.363.32/30151583MAT003000MAT005000MAT007000MAT034000bisacshCao Kecai1564012Chen YangQuan1966-MiAaPQMiAaPQMiAaPQBOOK9910796981303321Fractional order crowd dynamics3832831UNINA