パデ近似をすると次式のむだ時間L[s]の伝達関数を有理伝達関数に近似することができます。有理伝達関数にすることで取り扱いが楽になったり、各種ツールでの計算を簡単にすることができるメリットがあります。 むだ時間の伝達関数 むだ時間の伝達関数 ...

Abstract: The Pade approximation is often used to approximate a pure time delay by a rational transfer function. In this paper, we show via examples that PID controllers that stabilize such an ...

Abstract: The advantages of bar centric interpolation formulations in computation are small number of floating points operations and good numerical stability. Adding a new data pair, the bar centric ...

Departments of Mathematics, Dumlupinar University, Kütahya, Turkey. In this paper, we apply a new implicit method of high accuracy and the number of linear systems which to be solved are smaller than ...

Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada. Renewal and reliability theories are powerful modeling tools in many applications, considering, for ...

The problem of generating approximations to functions, specified by asymptotic expansions about one or more points, is considered. The development is limited to expansions of the power series type or ...

This file contains an implementation of the Padé approximation method. The standard scipy version (scipy.linalg.expm) will be replaced with this version in the future, however currently it is much ...

Python package to parametrise the multi-channel S-matrix using a pade approximation according to the technique presented in "S.A. Rakityansky P.O.G. Ogunbade. S-matrix parametrization as a way of ...