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Delayed impulive SDEs driven by multiplicative fBm noise and additive fBm noise
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  • Xia Zhou,
  • Dongpeng Zhou,
  • Xiu Liu,
  • Jinde Cao,
  • Changfeng Xue
Xia Zhou
Guilin University of Electronic Technology
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Dongpeng Zhou
Guilin University of Electronic Technology
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Xiu Liu
Southwest Jiaotong University
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Jinde Cao
Southeast University - Sipailou Campus
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Changfeng Xue
Yancheng Institute of Technology
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The stability and boundedness for delayed impulsive SDEs driven by fBm are studied in this paper. Two kinds of noises, i.e, additive fBm noise and mul-tiplicative fBm noise are both taken into consideration. By using stochastic Lyapunov technique and impulsive control theory, sufficient criteria for pth moment exponential stability and mean square ultimate boundedness are derived, for two kinds of fBm driven delayed impulsive SDEs, respectively. As application, the obtained results are used to do practical synchronization w.r.t. a class of chaotic systems, in which the response system is perturbed by additive fBm noises. Finally, A Chua chaotic oscillator is given to verify the validity and applicability of the derived results.

Peer review status:ACCEPTED

21 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
22 Mar 2021Submission Checks Completed
22 Mar 2021Assigned to Editor
03 Apr 2021Reviewer(s) Assigned
30 Apr 2021Review(s) Completed, Editorial Evaluation Pending
03 May 2021Editorial Decision: Revise Major
20 May 20211st Revision Received
20 May 2021Submission Checks Completed
20 May 2021Assigned to Editor
01 Jun 2021Reviewer(s) Assigned
01 Jun 2021Review(s) Completed, Editorial Evaluation Pending
13 Jun 2021Editorial Decision: Accept