Actuator characterisations to achieve approximate controllability for a class of fractional sub-diffusion equations. Issue 6 (3rd June 2017)

• Record Type: Journal Article
• Authors: Ge, Fudong; Chen, YangQuan; Kou, Chunhai
• Is Part Of: International journal of control. Volume 90:Issue 6(2017)
• Page Start: 1212
• Page End: 1220
• Publication Date: 2017-06-03
• Subjects: Approximate controllability -- sub-diffusion process -- fractional order -- distributed inputs -- boundary inputs; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2016.1163619
• Languages: English
• ISSNs: 0020-7179

Abstract

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.