Open AccessMean Square Asymptotic Boundedness of Stochastic Complex Networks via Impulsive Control
Author(s) -
XiaoDong Zhu,
Defeng He
Publication year - 2020
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2020/v35i530278
Subject(s) - mathematics , mean square , exponential stability , square (algebra) , lyapunov function , stochastic differential equation , class (philosophy) , stability (learning theory) , control theory (sociology) , control (management) , computer science , nonlinear system , physics , geometry , quantum mechanics , artificial intelligence , machine learning
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.