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 ...

Mathematics of Computation, Vol. 84, No. 294 (JULY 2015), pp. 1835-1860 (26 pages) The Padé approximation has a long and rich history of theory and application and is known to produce excellent local ...

In the context of Padé approximation theory some methods are studied for the calculation of the resonances and the phase shifts in potential scattering. They are extensions of a method already used ...

ABSTRACT: Matrix Padé approximation is a widely used method for computing matrix functions. In this paper, we apply matrix Padé-type approximation instead of typical Padé approximation to computing ...

Padé approximation has been proposed for calculating the scattering length and the effective range as functions of the potential strength. The appropriate Taylor series coefficients which constitute ...

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 ...

ABSTRACT: The problem of solving the linear diffusion equation by a method related to the Restrictive Pade Approximation (RPA) is considered. The advantage is that it ...