Regional Analysis of Time-Fractional Diffusion Processes
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Beschreibung
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.Enriches understanding of fractional calculus and its application to control systems
Explores the application of fractional analysis to a range of systems from environmental science to national security
Casts new light on open questions and encourages further researchEnriches understanding of fractional calculus and its application to control systems Explores the application of fractional analysis to a range of systems from environmental science to national security Casts new light on open questions and encourages further research
Autor*in
Fudong Ge
Themen in »Regional Analysis of Time-Fractional Diffusion Processes«
Fractional Calculus Anomalous Diffusion Processes Regional Analysis Sensors and Actuators General Distributed Parameter Systems
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“The monograph is written using very clear and precise mathematical language. The proofs of theorems are carried out using notions of actuators connected to excitations and sensors that are responsible for state components of the dynamic system. The authors present many convincing numerical examples that illustrate the correctness and usefulness of their results.” (Kzysztof Rogowski, Mathematical Reviews, September, 2018)
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