Regional analysis of time-fractional diffusion processes 1st ed.

Author

• Ge, Fudong

Additional Author(s)

• Chen, YangQuan
• Kou, Chunhai

Publisher

Cham, Switzerland : Springer International Publishing, 2018

Language

English

ISBN

9783319728964

Series

Subject(s)

• COOPERATING OBJECTS (COMPUTER SYSTEMS)
• DIFFUSION PROCESSES
• DISTRIBUTED PARAMETER SYSTEMS

Notes

. .

Abstract

This monograph provides an accessible introduction to the regional analysis of fractional diffusion processes. It begins with background coverage of fractional calculus, functional analysis, distributed parameter systems and relevant basic control theory. New research problems are then defined in terms of their actuation and sensing policies within the regional analysis framework. The results presented provide insight into the control-theoretic analysis of fractional-order systems for use in real-life applications such as hard-disk drives, sleep stage identification and classification, and unmanned aerial vehicle control. The results can also be extended to complex fractional-order distributed-parameter systems and various open questions with potential for further investigation are discussed. For instance, the problem of fractional order distributed-parameter systems with mobile actuators/sensors, optimal parameter identification, optimal locations/trajectory of actuators/sensors and regional actuation/sensing configurations are of great interest. The book’s use of illustrations and consistent examples throughout helps readers to understand the significance of the proposed fractional models and methodologies and to enhance their comprehension. The applications treated in the book run the gamut from environmental science to national security. Academics and graduate students working with cyber-physical and distributed systems or interested in the the applications of fractional calculus will find this book to be an instructive source of state-of-the-art results and inspiration for further research.

Physical Dimension

Number of Page(s)

1 online resource (xix, 250 p.)

Dimension

-

Other Desc.

ill.

Summary / Review / Table of Content

Introduction --
Preliminary Results --
Regional Controllability --
Regional Observability --
Regional Detection of Unknown Sources --
Regional Stability --
Conclusions and Future Work.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	00900/20	519.233 GeF r	Online !	Available