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.
| Original language | English |
|---|---|
| Pages (from-to) | 1031-1051 |
| Number of pages | 21 |
| Journal | Nonlinear Analysis: Modelling and Control |
| Volume | 26 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Nov 2021 |
Keywords
- Fractional delay stochastic systems
- Fractional delayed sine and cosine matrices
- Relative controllability
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