Controllability And Stability Of The Differential System With Infinite Distributed Delay

With the continuous learning of the functional differential equation,people found that there are a lot of delay in many practical systems.Sometimes,small de-lay can cause great influence on the systems.Combined with the practical systems,there are some complicated systems such as differential system infinite distribut-ed delay systems.And we also found that there are many conclusions which are suitable for the finite delay systems are not adaptive for infinite distributed delay.In addition,both controllability and stability are the important problem in control theory.Therefore,it is very significant to study the controllability and stability of the differential system infinite distributed delay.In this paper,we mainly studied the controllability and ability of the system with infinite distributed delay (?) and singular system with infinite distributed delay (?)This thesis consists of four components.The first chapter described the background and main work of this thesis.The second chapter gives the general solution of the differential system with infinite distributed delay and the singular differential system with infinite distributed delay.The third chapter gives the controllability of the differential system with infinite distributed delay and the singular differential system with infinite distributed delay.The fourth chapter gives the stability of singular system with infinite distribut-ed delay.