note

Mapleで制御工学の基礎虎の巻5「むだ時間の伝達関数をパデ近似」

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 ...
JSTOR Daily

Restricted Padé Approximations to the Exponential Function

SIAM Journal on Numerical Analysis, Vol. 15, No. 5 (Oct., 1978), pp. 1008-1029 (22 pages) In the rational Padé approximation to exp (-q), q ϵ ℂ, the parameters in the numerator and denominator are ...
JSTOR Daily

GENERALIZATION OF PADÉ APPROXIMATION FROM RATIONAL FUNCTIONS TO ARBITRARY ANALYTIC ...

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 ...
IEEE

Computation for exponential matrix via restrictive pade approximation

Abstract: By following the definition of a restrictive Pade approximation (RPA), some algebraic properties are discussed. The determinantal expression of exponential function via RPA is given.