Regional Analysis of Time-Fractional Diffusion Processes
Regional Analysis of Time-Fractional Diffusion Processes by Fudong Ge
English | 22 Jan. 2018 | ISBN: 3319728954 | 250 Pages | PDF | 3.84 MB
English | 22 Jan. 2018 | ISBN: 3319728954 | 250 Pages | PDF | 3.84 MB
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.