Fractional Order Crowd Dynamics: Cyber-Human System Modeling and Control

ISBN-13: 9783110472813 / Angielski / Twarda / 2018 / 138 str.

Kecai Cao;YangQuan Chen

Opis

The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed. Editor-in-chief: Changpin Li, Shanghai University, China Editorial Board:
Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria
Francesco Mainardi, University of Bologna, Italy
Dragan Spasic, University of Novi Sad, Serbia
Bruce Ian Henry, University of New South Wales, Australia
YangQuan Chen, University of California, Merced, USA Please submit book proposals to Professor Changpin Li: lcp@shu.edu.cn

Spis treści

Table of Content:
Chapter 1 Fractional Model of Microscopic Pedestrians Based on Fractional Decision Making Process
1.1 Introduction
1.2 Fractional Decision Making Process
1.3 Fractional Microscopic Model
1.4 Simulation Results
1.5 Conclusion
Chapter 2 Fractional Model of Macroscopic Crowds Based on Fractional Conservation Law
2.1 Introduction
2.2 Fractional Conservation law of Mass/Momentum
2.3 Fractional Macroscopic Model
2.4 Simulation Results
2.5 Conclusion
Chapter 3 Fractional Model for Micro-Macro Crowds with Presence of Individual of Disabilities
3.1 Introduction
3.2 Fractional Potential Field and IwDs
3.3 Fractional Mean Field Theory
3.4 Fractional Micro-Macro Model
3.5 Simulation Results
3.6 Conclusion
Chapter 4 Cooperative Control of Microscopic Pedestrians with Long Range Interactions
4.1 Introduction
4.2 Relationship between Long Range Interactions and Fractional Calculus
4.3 Relationship between Long Range Interactions and Macroscopic Movement
4.4 Cooperative Control of Microscopic Pedestrians with Long Range Interactions
4.5 Simulation Results
4.6 Conclusion
Chapter 5 Boundary Evacuation Control of Macroscopic Crowds of Pedestrians
5.1 Introduction
5.2 Fractional Reaction-advection-diffusion Model
5.3 Boundary Conditions for Desired Evacuation
5.4 Evacuating Controllers for Boundary Robots
5.5 Wave-absorbing Re-design of Boundary Evacuating Controllers
5.6 Simulation Results
5.7 Conclusion
Chapter 6 Intelligent Evacuation Control of Large Crowds of Pedestrians Using FODIFF-MAS
6.1 Introduction
6.2 Platform of DIFF-MAS and FODIFF-MAS
6.3 Simulation Results of Large Crowds on Micro, Macro and Mesco Scale
6.4 Simulation Results of Large Crowds with Long Range Interactions
6.5 Intelligent Evacuation Control of Large Crowds
6.6 Conclusion

O autorze

Kecai Cao, Nanjing U. of Posts and Telecommunications, China; YangQuan Chen, U. of California, Merced, USA.