Regional Analysis of Time-Fractional Diffusion Processes

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

Fudong Ge  earned his a Ph.D. in College of Information Science and Technology of Donghua University, Shanghai, China. He joined the MESA Lab of the University of California, Merced from October, 2014 to October, 2015 as a China Scholarship Council Exchange Ph.D. student hosted by Prof. YangQuan Chen. Since July 2016, he has been an associate professor in the School of Computer Science, China University of Geosciences, Wuhan. He is also with Hubei Key Laboratory of Intelligent Geo-Information Processing of the China University of Geosciences. His research interests include existence, uniqueness, stability issues of the solutions of the fractional (partial) differential equations; modeling of continuous time random walks and the anomalous diffusion processes; distributed measurement and distributed control problems in generalized distributed parameter systems with applications in cyber-physical systems in general form.

YangQuan Chen earned his Ph.D. from Nanyang Technological University, Singapore, in 1998. He was a faculty of Electrical Engineering at Utah State University from 2000-2012. He joined the School of Engineering, University of California, Merced in 2012 teaching "Mechatronics", "Engineering Service Learning" and "Unmanned Aerial Systems" for undergraduates and "Fractional Order Mechanics" and "Nonlinear Controls" for graduates. His current research interests include mechatronics for sustainability, cognitive process control, small multi-UAV based cooperative multi-spectral "personal remote sensing" and applications, applied fractional calculus in controls, modeling and complex signal processing; distributed measurement and distributed control of distributed parameter systems using mobile actuator and sensor networks. He has been the Co-Chair for IEEE RAS Technical Committee (TC) on Unmanned Aerial Vehicle and Aerial Robotics (2012-2018). He was the Mechatronics and Embedded Systems Applications (MESA) TC Chair for ASME Design

"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)