Mean Square Asymptotic Boundedness of Stochastic Complex Networks via Impulsive Control

Xiaoyi Zhu; Danhua He

doi:10.9734/jamcs/2020/v35i530278

Research Article Open access CC BY 4.0

Mean Square Asymptotic Boundedness of Stochastic Complex Networks via Impulsive Control

Xiaoyi Zhu, Danhua He

Journal of Advances in Mathematics and Computer Science · pp. 10–21 · Published 17 Jul 2020

10.9734/jamcs/2020/v35i530278

Abstract

In this paper, the mean square asymptotic boundedness of a class of stochastic complex systems with different dynamic nodes represented by Ito stochastic differential equations is studied. By using the Lyapunov function and Ito formula, the mean square asymptotic boundedness and mean square asymptotic stability conditions of stochastic complex systems with different dynamic nodes are obtained.

Stochastic complex networks mean square asymptotic boundedness Ito formula.

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Xiaoyi Zhu, Danhua He (2020). Mean Square Asymptotic Boundedness of Stochastic Complex Networks via Impulsive Control. Journal of Advances in Mathematics and Computer Science , 10–21. https://doi.org/10.9734/jamcs/2020/v35i530278

Affiliations

Xiaoyi Zhu — Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310023, PR China.
Danhua He — Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310023, PR China.

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