On transfer functions and transients-Reference-Cited by-同舟云学术

On transfer functions and transients

Published:1958 Issue:3 Volume:16 Page:273-294
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Zemanian Armen H.

Abstract

In the first part of this paper the concept of the positive real function is generalized so that it is applicable to transfer functions and the functions, satisfying this generalized concept, are arranged into classes. Some tests are then developed which may be used to determine whether a transfer function belongs to a particular class. It is also shown that if transfer functions have certain general forms then they will automatically be members of one of the classes. Finally, several properties of the phase functions for such system functions are developed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1958-16-03/S0033-569X-1958-0102342-2/S0033-569X-1958-0102342-2.pdf

Reference18 articles.

1. A. H. Zemanian, Bounds existing on the time and frequency responses of various types of networks, Proc. IRE 42, 835–839 (May 1954)

2. Further bounds existing on the transient responses of various types of networks;Zemanian, A. H.;Proc. I.R.E.,1955

3. Restrictions on the shape factors of the step response of positive real system functions;Zemanian, Armen H.;Proc. I.R.E.,1956

4. I. A. Ovseyevich, Certain bounds on the time functions of a linear system given by its frequency characteristic, Izvestia Akad. Nauk, Otdel. Tekh. Nauk, S.S.S.R., pp. 59–68 (Feb. 1956)

5. O.P.D. Cutteridge, Transient response of two-terminal networks, Inst. Elec. Eng., Monograph No. 212R (Dec. 1956)

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Transformations of Positive-Real Functions and Matrices Arising from Complex Convolution;Journal of Mathematics and Physics;1961-04

2. Further properties of certain classes of transfer functions. II;Quarterly of Applied Mathematics;1961

3. Non-decreasing step responses whose transfer functions are subclass;Quarterly of Applied Mathematics;1961

4. Further properties of certain classes of transfer functions;Quarterly of Applied Mathematics;1960

5. Correction to my paper: On transfer functions and transients;Quarterly of Applied Mathematics;1959