Title :
A proof of stability of all-pass Pade approximants to e-s
Author :
Hwang, Chyi ; Lee, Ying-Chin
Author_Institution :
Dept. of Chem. Eng., Nat. Chung Cheng Univ., Chia-Yi, Taiwan
Abstract :
This paper presents an explicit derivation of the all-pass Routh approximants to e-s. It then shows that the stable all-pass Routh approximants to e-s are exactly the same as the all-pass Pade approximants. As a result, the derivation provides an alternative way of proving that the all-pass Pade approximants to e-s are always asymptotically stable
Keywords :
Routh methods; approximation theory; asymptotic stability; delays; series (mathematics); Routh approximation; Taylor series; all-pass Pade approximants; stability; time delay; Chemical engineering; Delay effects; Differential equations; Jacobian matrices; Mathematical model; Network synthesis; Polynomials; Stability; Taylor series; Transfer functions;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532072
