Analysis of population controllability and prediction of population structure based on constraint system

Abstract

It is established that population structure prediction time-varying restriction system model, and its controllability of the system is analyzed through grey system theory and control theory. Based on Liapunov central limit theorem, the conclusion that child-bearing age of women is subject to the normal distribution is obtained, and the density function of fertility age is given. Fertility restricted function is introduced, and we define population migration quantity as control variable, and state feedback gain matrix is established by fertility restricted function, on the basis of which, the discrete time-varying population structure restriction system is established, at the same time its controllability is analyzed by the fertility restriction function and population structure is predicted in a closed region. Finally, error analysis is made through the model, and accuracy and dependability of the model are proved.