Mean Square Asymptotic Boundedness of Stochastic Complex Networks via Impulsive Control
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.
*Author to whom correspondence should be addressed.
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.
Keywords: Stochastic complex networks, mean square asymptotic boundedness, Ito formula.