4.6 Article

Relative controllability in fractional differential equations with pure delay

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 41, Issue 18, Pages 8906-8914

Publisher

WILEY
DOI: 10.1002/mma.4651

Keywords

delayed Mittag-Leffler-type matrix; fractional differential equations; pure delay; relative controllability

Funding

  1. National Natural Science Foundation of China [11661016]
  2. Training Object of High Level and Innovative Talents of Guizhou Province [[2016]4006]
  3. Unite Foundation of Guizhou Province [[2015]7640]
  4. Graduate Course of Guizhou University [ZDKC[2015]003]

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In this paper, we study relative controllability of fractional differential equations with pure delay. Delayed Gram-type matrix criterion and rank criterion for relative controllability are established with the help of the explicit solution formula. An example is given to illustrate our theoretical results.

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