Synchronizasion Of Complex Network With Distributed Time Delay Via Aperiodically Intermittent Control

In this thesis,synchronization of real-and complex-variable complex networks with distributed time-delay via aperiodically intermittent control are investigated.Based on Lyapunov function methods and linear matrix inequality,the effective cont.rollers are designed and the corre.sponding sufficient conditions for exponential synchronization are provided.This thesis is divided into four chapter as follow:In chapter 1,research background,the complex network,chaos dynamical systems,synchro-nization and control theories are introduced.Further,network model,some preliminaries and lemmas are presented as well.In chapter 2,synchronization in real-variable network with distributed time-delay is investi-gated via aperiodically intermittent control.Firstly,intermittent feedback controllers are designed and some sufficient conditions for exponential synchronization are derived.Then,numerical simu-lations are given to verify the theoretical results.Secondly,adaptive controllers are designed and some sufficient conditions are also provided.Moreover,numerical simulations are given to verify the theoretical results.In chapter 3.synchronization in complex-variable complex networks with distributed time-delay is investigated via aperiodically intermittent pinning control.In the first part.intermittent feedback controllers are designed and some sufficient,conditions for expone.ntial synchronization are derived.In the second part,adaptive controllers are designed and some sufficient conditions are also provided.Moreover,numerical simulations are performed to verify the obtained results.In chapter 4,this thesis is concluded and some future work are presented.