Stabilization of Stochastic Differential Equations Driven by G-Brownian Motion with Aperiodically Intermittent Control
Abstract
:1. Introduction
- A new aperiodically intermittent control is designed to stabilize this class stochastic system, driven by G-Brownian motion. Moreover, the aperiodically intermittent control is added to the drift coefficient.
- The aperiodically intermittent interval satisfies
- By the Lyapunov function satisfying suitable conditions, the p-th exponential stability is obtained. When , it is the exponential stability in mean square. Finally, an example is presented to show the efficiency of the obtained result.
2. Notations
- (1)
- (2)
- For each, the incrementand is independent from, for any.
3. Main Results
4. Conclusions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Duan, P. Stabilization of Stochastic Differential Equations Driven by G-Brownian Motion with Aperiodically Intermittent Control. Mathematics 2021, 9, 988. https://0-doi-org.brum.beds.ac.uk/10.3390/math9090988
Duan P. Stabilization of Stochastic Differential Equations Driven by G-Brownian Motion with Aperiodically Intermittent Control. Mathematics. 2021; 9(9):988. https://0-doi-org.brum.beds.ac.uk/10.3390/math9090988
Chicago/Turabian StyleDuan, Pengju. 2021. "Stabilization of Stochastic Differential Equations Driven by G-Brownian Motion with Aperiodically Intermittent Control" Mathematics 9, no. 9: 988. https://0-doi-org.brum.beds.ac.uk/10.3390/math9090988