Finite-time Intermittent Control Of A Class Of Complex Networks

Due to the widespread existence of complex networks in practical applications,the dynamic behavior of complex networks has been extensively studied.In this thesis,the finite time synchronization and intermittent control problems of a class of driving response complex networks are deeply studied.The specific contents are as follows:The first chapter is the introduction,which mainly introduces the background and significance,and summarizes the work of the whole paper.In the second chapter,the coupling drive-response complex network is considered.The finite-time synchronization criterion for complex networks is derived based on the intermittent pinning quantization controller.In numerical simulation,finite-time stability is achieved under the condition of given control gain.In the third chapter,the finite time synchronization and control of complex networks with uncertain parameters is studied.Based on guaranteed cost periodic intermittent pinning quantization control and guaranteed cost continuous pinning quantization control respectively,the criterion for realizing network finite time synchronization is given.The upper bound is a nonlinear function,and the optimization problem is solved by using the fmincon function.Finally,the correctness of the theoretical results is confirmed by numerical simulation.In the fourth chapter,a class of multi-weight complex networks with uncertain parameters is studied.A new criterion for finite time synchronization of closed-loop systems is obtained based on optimal guaranteed cost intermittent control and Lyapunov stability theory.The methods which can not only finite-time stabilize the multi-weighted complex networks with uncertain parameters and also improve the control system performance.The nonlinear optimization problem is difficult to solve with the LMI.This chapter uses the fmincon function to optimize the objective function and obtain the optimal unique control gain.