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Regional Controllability of Anomalous Diffusion Generated by the Time Fractional Diffusion Equations

[+] Author Affiliations
Fudong Ge, Chunhai Kou

Donghua University, Shanghai, China

YangQuan Chen

University of California, Merced, CA

Paper No. DETC2015-46697, pp. V009T07A031; 8 pages
doi:10.1115/DETC2015-46697
From:
  • ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications
  • Boston, Massachusetts, USA, August 2–5, 2015
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5719-9
  • Copyright © 2015 by ASME

abstract

This paper is concerned with the investigation of the regional controllability of the time fractional diffusion equations. First, some preliminaries and definitions of regional controllability of the system under consideration are introduced, which promote the existence contributions on controllability analysis. Then we analyze the regional controllability with minimum energy of the time fractional diffusion equations on two cases: B ∈ L (Rm, L2 (Ω)) and B ∉ L (Lm, L2 (Ω)). In the end, two applications are given to illustrate our obtained results.

Copyright © 2015 by ASME

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