Stability Analysis And Controller Design For Complex Dynamical Networks

In this paper,the problem of stability and synchronous sampling control for complex dynamic network with time-delay,parameter uncertainty,random jump and sensor failure is studied by using the Lyapunov stability theorem and the related control theory.The specific research contents include:(1)The delay-dependent stability problem of neural networks is studied.By using the method of free-matrix-inequalities and using the idea of relaxed positive definite conditions,a lower delay-dependent stability condition is obtained.Numerical simulation shows the superiority of the method.(2)The problem of exponential synchronous sampling control for complex dynamical networks with time-delays is studied.By using the sampling control method,the Lyapunov augmented functional of the sampling information is constructed,and an exponential stability criterion is obtained by combining the free matrix inequality method.With the decoupling of mathematics,the design method of sampling controller is given.The simulation of the system trajectory proves the feasibility of the controller(3)The problem of mixed H_?and passivity synchronous sampling control for complex dynamical networks with time delays is studied.By using the closed loop function method of the sampling system,the Lyapunov augmented functional is constructed and the sampling double integral term is introduced.By using the transformed free-weight-matrix inequality method,the one and the double two-order-integral terms in its derivative are defined,and the more low conserved H_?criterion is derived,and the sampling controller is set up.The simulation example proves the superiority and feasibility of the method.(4)The problem of fault tolerant synchronous sampling control for Markov jump complex dynamic networks is studied.The stability criterion of the system is obtained under the condition of random jump and sensor failure,and the sampling controller is designed.The simulation example shows the feasibility of the method and has theoretical guidance for practical engineering control problems.