TY - JOUR
T1 - Relative controllability of a stochastic system using fractional delayed sine and cosine matrices
AU - Wang, Jinrong
AU - Sathiyaraj, T.
AU - O'Regan, Donal
N1 - Publisher Copyright:
© 2021 Authors.
PY - 2021/11/1
Y1 - 2021/11/1
N2 - In this paper, we study the relative controllability of a fractional stochastic system with pure delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for relative exact controllability using fixed point theory, fractional calculus (including fractional delayed linear operators and Grammian matrices) and local assumptions on nonlinear terms. Finally, an example is given to illustrate our theory.
AB - In this paper, we study the relative controllability of a fractional stochastic system with pure delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for relative exact controllability using fixed point theory, fractional calculus (including fractional delayed linear operators and Grammian matrices) and local assumptions on nonlinear terms. Finally, an example is given to illustrate our theory.
KW - Fractional delay stochastic systems
KW - Fractional delayed sine and cosine matrices
KW - Relative controllability
UR - https://www.scopus.com/pages/publications/85121850714
U2 - 10.15388/NAMC.2021.26.24265
DO - 10.15388/NAMC.2021.26.24265
M3 - Article
AN - SCOPUS:85121850714
SN - 1392-5113
VL - 26
SP - 1031
EP - 1051
JO - Nonlinear Analysis: Modelling and Control
JF - Nonlinear Analysis: Modelling and Control
IS - 6
ER -