Dispersed structure solve of model GM(1,N)

Parameters of grey model GM(1,N) are often estimated based on related difference equation,but time response function is acquired by the solution of differential equation.No reasonable scientific or theoretical basis is given to explain the jump from difference equation to differential equation till now.The relation between difference equation and differential equation is studied by analyzing the mechanism in building grey models,and a "bridge" is set up between difference equation and differential equation by sampling theorem and state transition matrix.It proves this method has validity by analysis of simulation result.