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On the Controllability of Distributed-Order Fractional Systems With Distributed Delays

[+] Author Affiliations
Bin-Bin He, Chun-Hai Kou

Donghua University, Shanghai, China

YangQuan Chen

University of California, Merced, Merced, CA

Paper No. DETC2017-67685, pp. V009T07A030; 7 pages
  • ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 9: 13th ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications
  • Cleveland, Ohio, USA, August 6–9, 2017
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5823-3
  • Copyright © 2017 by ASME


This paper investigates the controllability of distributed-order fractional systems with distributed delays. By using the controllability Gramian matrix and reduction to absurdity, a necessary and sufficient condition for the controllability of linear system is established, and a sufficient condition for the nonlinear system is obtained. Examples are given to illustrate the effectiveness of the theorems.

Copyright © 2017 by ASME
Topics: Delays



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