Relative controllability of a stochastic system using fractional delayed sine and cosine matrices
Articles
JinRong Wang
Guizhou University
T. Sathiyaraj
Guizhou University
https://orcid.org/0000-0002-0551-1067
Donal O’Regan
National University of Ireland
https://orcid.org/0000-0002-4096-1469
Published 2021-11-01
https://doi.org/10.15388/namc.2021.26.24265
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Keywords

relative controllability
fractional delay stochastic systems
fractional delayed sine and cosine matrices

How to Cite

Wang J., Sathiyaraj T. and O’Regan D. (2021) “Relative controllability of a stochastic system using fractional delayed sine and cosine matrices”, Nonlinear Analysis: Modelling and Control, 26(6), pp. 1031-1051. doi: 10.15388/namc.2021.26.24265.

Abstract

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.

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