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- Title
Regional boundary controllability of time fractional diffusion processes.
- Authors
FUDONG GE; YANGQUAN CHEN; CHUNHAI KOU
- Abstract
In this paper, we are concerned with the regional boundary controllability of the Riemann-Liouville time fractional diffusion systems of order α ∊ (0, 1]. The characterizations of strategic actuators are established when the systems studied are regionally boundary controllable. The determination of control to achieve regional boundary controllability with minimum energy is explored. We also show a connection between the regional internal controllability and regional boundary controllability. Several useful results for the optimal control from an implementation point of view are presented in the end.
- Subjects
RIEMANN-Hilbert problems; LIOUVILLE'S theorem; MATHEMATICAL complex analysis; BOUNDARY element methods; ACTUATORS; MATHEMATICAL models
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p871
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw001