Exponential synchronization of dynamical complex networks via random impulsive scheme
Bowen Zhou, Xiao‐Bao Shu, Fei Xu, Fengyu Yang, Ya Wang
Abstract
This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is constructed. Using the Lyapunov principle, random process theory, linear matrix inequality method, and some basic analysis methods, we realize the global mean-square index synchronization of the model. We then get sufficient criteria for the synchronization. By presenting a numerical example, we verified the validity of the theoretical results.
Topics & Concepts
Synchronization (alternating current)Scheme (mathematics)Exponential functionSynchronization networksComputer scienceMathematicsStatistical physicsTopology (electrical circuits)PhysicsCombinatoricsMathematical analysisNonlinear Dynamics and Pattern FormationNeural Networks Stability and Synchronizationstochastic dynamics and bifurcation