Title
Actuator Characterisations To Achieve Approximate Controllability For A Class Of Fractional Sub-Diffusion Equations
Abstract
This paper is devoted to analysing the actuator characterisations for the fractional sub-diffusion equation under consideration to become approximately controllable. Two different cases are considered, where the control inputs emerge in the differential equation as distributed inputs and as boundary inputs in the boundary conditions. The dual system for fractional sub-diffusion equation is solved and the necessary and sufficient conditions for the approximate controllability of the system are established. Several examples are worked out in the end to illustrate our results.
Year
DOI
Venue
2017
10.1080/00207179.2016.1163619
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
Approximate controllability, sub-diffusion process, fractional order, distributed inputs, boundary inputs
Differential equation,Boundary value problem,Mathematical optimization,Controllability,Control theory,Mathematics,Actuator
Journal
Volume
Issue
ISSN
90
6
0020-7179
Citations 
PageRank 
References 
4
0.61
2
Authors
3
Name
Order
Citations
PageRank
Fudong Ge1135.66
Yangquan Chen22257242.16
Chunhai Kou3175.38