Stability of Linear Time-Invariant Systems

Author

Desoer, Charles A. ; Wu, Min-yen

Volume

Issue

fYear

1968

fDate

9/1/1968 12:00:00 AM

Firstpage

245

Lastpage

250

Abstract

The stability of a single-input, single-output, singleloop, linear, time-invariant system is related to the properties of its open-loop gain. The impulse response of the open-loop system may be of the form $g(t) = r + g_{a}(t) + \\sum _{i=0}^{\\infty } g_{i} \\delta (t - t_{i})$ where $r$ is a nonnegative constant, $g_{a}$ is integrable on $[0, \\infty )$ , and $\\sum _{i=0}^{\\infty } |g_{i}|$ < $\\infty$ . If the Nyquist diagram of the open-loop gain does not go through nor encircle the critical point, then the closed-loop system is inputoutput stable, in the several meanings explained in the paper.

Keywords

Banach algebra; Nyquist criterion; Algebra; Circuit stability; Circuit theory; Distributed parameter circuits; Frequency; NASA; Output feedback; Propagation losses; Servomechanisms; Sufficient conditions;

fLanguage

English

Journal_Title

Circuit Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9324

Type

jour

DOI

10.1109/TCT.1968.1082819

Filename

1082819

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1164092