1.

Record Nr.

UNINA9910807397903321

Autore

Cao Kecai

Titolo

Fractional order crowd dynamics : cyber-human system modeling and control / / Kecai Cao, YangQuan Chen

Pubbl/distr/stampa

Boston ; ; Berlin : , : De Gruyter, , [2018]

©2018

ISBN

3-11-047283-X

3-11-047398-4

Descrizione fisica

1 online resource (140 pages)

Collana

Fractional calculus in applied sciences and engineering ; ; Volume 4

Classificazione

MAT003000MAT005000MAT007000MAT034000

Disciplina

363.32/30151583

Soggetti

Pedestrian traffic flow - Mathematical models

Fractional calculus

MATHEMATICS / Differential Equations

MATHEMATICS / Mathematical Analysis

MATHEMATICS / Calculus

MATHEMATICS / Applied

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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 -- Index

Sommario/riassunto

This 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.