Mathematics, Vol. 11, Pages 2405: Mean-Square Stability of Uncertain Delayed Stochastic Systems Driven by G-Brownian Motion
Mathematics doi: 10.3390/math11102405
This paper investigates the mean-square stability of uncertain time-delay stochastic systems driven by G-Brownian motion, which are commonly referred to as G-SDDEs. To derive a new set of sufficient stability conditions, we employ the linear matrix inequality (LMI) method and construct a Lyapunov&ndash;Krasovskii function under the constraint of uncertainty bounds. The resulting sufficient condition does not require any specific assumptions on the G-function, making it more practical. Additionally, we provide numerical examples to demonstrate the validity and effectiveness of the proposed approach.
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