Regional boundary controllability of time fractional diffusion processes

Fudong Ge; YangQuan Chen; Chunhai Kou

Regional boundary controllability of time fractional diffusion processes

Optimization and Control 2016-01-13 v1

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 $\alpha\in (0,1]$ . 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.

Keywords

controllability theory controllability optimal control

Cite

@article{arxiv.1601.02754,
  title  = {Regional boundary controllability of time fractional diffusion processes},
  author = {Fudong Ge and YangQuan Chen and Chunhai Kou},
  journal= {arXiv preprint arXiv:1601.02754},
  year   = {2016}
}

Comments

19 pages 2figures in IMA J. Math. Control Info. 2016

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