DocumentCode :
806226
Title :
Time symmetry and periodic solutions of the state equations
Author :
Mulholland, R.
Author_Institution :
Oklahoma State University, Stillwater, OK, USA
Volume :
16
Issue :
4
fYear :
1971
fDate :
8/1/1971 12:00:00 AM
Firstpage :
367
Lastpage :
368
Abstract :
The constraint of time symmetry applied to the linear state equations is used to investigate periodic solutions. Specifically, it is shown that the state is an even function of time if and only if the system has odd time symmetry. Furthermore, if the system is 
-periodic, then so is the state.
-periodic, then so is the state.Keywords :
Linear systems, time-varying continuous-time; Control systems; Feedback; Frequency; Linearity; Lyapunov method; Nonlinear equations; Stability; Time factors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1971.1099739
Filename :
1099739
Link To Document :
