Mean-square stability of delayed stochastic neural networks with impulsive effects driven by G-Brownian motion

Yong Ren, Qian He, Yuanfang Gu and R. Sakthivel

Statistics & Probability Letters, 2018, vol. 143, issue C, 56-66

Abstract: This paper studies the mean-square exponential input-to-state stability for a class of delayed impulsive stochastic Cohen–Grossberg neural networks driven by G-Brownian motion. By constructing an appropriate G-Lyapunov–Krasovskii functional, mathematical induction approach and some inequality techniques, a new set of sufficient conditions is obtained for the mean-square exponential input-to-state stability of the trivial solutions for the considered systems. Finally, an example is given to illustrate the obtained theory.

Keywords: Stochastic Cohen–Grossberg neural networks; G-Lyapunov–Krasovskii functional; G-Brownian motion; Mean-square exponential input-to-state stability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spl.2018.07.024

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