DocumentCode :
1162605
Title :
The Stability of a System with Periodically Varying Parameters
Author :
Hirai, Keita ; Hamasaki, Y.
Volume :
14
Issue :
1
fYear :
1967
fDate :
3/1/1967 12:00:00 AM
Firstpage :
56
Lastpage :
60
Abstract :
This paper deals with the stability of a second-order linear system whose dynamic behavior is governed by \\ddot{x}(t) + a(t)dot{x}(t) + b(t)x(t) = 0 where a(t) and b(t) are periodic functions which vary in rectangular form with respect to the time t . A generalized stability condition is derived and stability charts are shown as the relationship between system parameters. These stability charts are obtained by using a digital computer. A more precise stability chart is shown for a(t) = 0 than those given hitherto in other reports.
Keywords :
Hill-Meissner equation; Stability; Switched networks; Time-varying second-order linear systems; Circuit stability; Circuit theory; Diodes; Electronic circuits; Equations; Laboratories; Lattices; Linear systems; Network synthesis; Resistors;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1967.1082657
Filename :
1082657
Link To Document :
بازگشت