| In this day and age,complex network is an important method to investigate the coplex system.Synchronization of complex networks is a significant topic in complex networks and researches on outer synchronization of networks play an important role in our daily life.In this dissertation,synchronization of discrete-time networks is studied by applying linear matrix inequalities and pinning control.According to Lyapunov stability theory some sufficient conditions for outer synchronization of discrete-time dynamical networks are obtained.Firstly,outer lag synchronization of discrete-time dynamical networks are discussed.Networks with both identical and nonidentical topology structure are studied respectively.Sufficient conditions of outer lag synchronization are derived,the numerical simulation is included to illustrate the effectiveness and verification of theoretical analysis.Secondly,the outer pinning synchronization analysis for discrete-time dynamical networks are investigated.Based on the Lyapunov stability theory,pinning control method and linear matrix inequalities,several outer synchronization criteria via pinning control method are obtained,the numerical simulation is included to illustrate the effectiveness and verification of theoretical analysis. |
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