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Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations
Author(s) -
Li Mengmeng,
Wang JinRong
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5765
Subject(s) - mathematics , controllability , stability (learning theory) , type (biology) , rank (graph theory) , matrix (chemical analysis) , mathematical analysis , representation (politics) , combinatorics , ecology , materials science , machine learning , politics , computer science , political science , law , composite material , biology
This paper firstly deals with finite time stability (FTS) of Riemann‐Liouville fractional delay differential equations via giving a series of properties of delayed matrix function of Mittag‐Leffler. We secondly study relative controllability of such type‐controlled system. With the help of the representation of solution, both Gram‐like type matrix and rank criterion are derived, which extend the corresponding results for linear systems.