FURTHER RESULTS ON STABILIZATION OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH DELAYED FEEDBACK CONTROL UNDER G-EXPECTATION FRAMEWORK

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B（2022）

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摘要

In this paper we establish a comparison approach to study stabilization of stochastic differential equations driven by G-Brownian motion with delayed (G-SDDEs for short) feedback control. This theory also extends to a general range of moment order and brings more choices of p. Finally, a simple example is proposed to demonstrate the applications of our theory.

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关键词

p-th moment exponential stabilization, G-Brownian motion, delayed feedback control, quasi-sure exponential stabi-lization

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