Then based on the functions of the tracking differentiator,some novel methods of control design for the time-delay systems are proposed,including the ignoring delay method,where the delay is substituted by 1,the increasing order method,where the delay is replaced by a first order inertial element,the virtual output method,where the virtual output is introduced,and the virtual .

Boundedness of differential systems with infinite delay;

Persistence of non-autonomous competitive systems with infinite delay;

Stability and Boundedness for Neutral Volterra-Type Integral Differential Equations with Infinite Delay;

At first,we construct the Lyapunov functions,Then,using the properity of matrix inequality and definition of norm to judge whether the matrices is positive or negative definite,to make further study of the Asymptotic stability of nonlinear systems with unbounded delays.

We establish a necessary and sufficient condition for the existence of positive solutions of a class of integrodifferential equations with unbounded delay.

In this paper,some new sufficient conditions for asymptotic stability of the zero solution of linear and nonlinear neutral systems with multiple unbounded delays is presented respectively,and related study is improved.

In this paper a new delay-independent stability criterion for a class of linear large-scale time-varying delay systems is deduced by estimating the solution of differential equation.

In this paper,a multiple-delay T-S fuzzy descriptor system model is proposed firstly,then the guaranteed cost control problem of a class of multiple-delay non-linear descriptor systems described by the proposed model is studied by Lyapunov stability theory and delay-independent method.

A prior bounds of solutions of nonlinear Volterra reaction-diffusion systems with infinite delay;

Permanence of a nonlinear discrete n-species LotkaVolterra competitive systems with infinite delays;

Study on Periodical Solutions of Functional Differential Equations with Infinite Delay;