Journal
MATHEMATICS
Volume 9, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/math9090988
Keywords
exponential stability; aperiodically intermittent control; G-Brownian motion; stochastic differential equations
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Funding
- Foundation for Excellent Young Talents Fund Program of Higher Education Institutions of Anhui Provinc [gxyq2018102]
- Natural Science Foundation of Anhui Colleges [KJ2020A0731]
- Research Projects of Humanities and Social Science of Anhui Province [SK2020A0527]
- Ministry of Education Cooperative Education Project [202002165040, 2020xhx119]
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This paper investigates the exponential stability of a mild solution of stochastic differential equations driven by G-Brownian motion with aperiodically intermittent control. The addition of aperiodically intermittent control into the drift coefficients leads to the achievement of p-th exponential stability under suitable conditions. An example provided in the paper illustrates the effectiveness of the obtained results.
The paper is devoted to studying the exponential stability of a mild solution of stochastic differential equations driven by G-Brownian motion with an aperiodically intermittent control. The aperiodically intermittent control is added into the drift coefficients, when intermittent intervals and coefficients satisfy suitable conditions; by use of the G-Lyapunov function, the p-th exponential stability is obtained. Finally, an example is given to illustrate the availability of the obtained results.
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