Based on the All-pole Approximation IMC-PID Control in the System with Time-delay;

The time delay problems in both open-loop systems and closed-loop systems for first order and second order systems with large time delays have been analyzed using the first order Pade approximation,second order Pade symmetrical approximation,second order nonsymmetrical Pade approximation and all-pole approximation to replace the time delay part.

This paper using a new method of approaching the all-pole approximation,designing based on IMC-PID control just need adjusting one parameter.

Saddlepoint approximations can be given for saddlepoint approximations in many cases when the distribution of variable is known.

Method: The saddlepoint approximation and the transition relation between Weibull and exponential distribution are used in the paper.

For exponential life data with varying censoring time, this paper gives approximation to the distribution of parameter estimation using saddlepoint approximation.

A kind of weighted pointwise approximation direct and inverse theorem of unbounded continuous functions;

Pointwise Approximation on Baskakov Type Operators;

The purpose is to use the moduli of smoothness ωrφλ(f,t)(0≤λ≤1),to get the results of pointwise approximation equivalent theorem for the combinations of modified Baskakov-Durrmeyer operators.