DocumentCode :
817767
Title :
Some new results in linear time-varying systems
Author :
Wu, Min-Yen
Author_Institution :
Unicersity of Colorado, Boulder, CO, USA
Volume :
20
Issue :
1
fYear :
1975
fDate :
2/1/1975 12:00:00 AM
Firstpage :
159
Lastpage :
161
Abstract :
This correspondence presents some new results for linear time-varying systems \\dot{x}(t)=A(t)x(t) . These new results include, 1) an explicit necessary and sufficient condition of stability that can be determined directly by joint eigenvalues of two constant matrices, and 2) a new class of reducible systems which needs not be periodic, as is required in Floquet theory.
Keywords :
Linear systems, time-varying continuous-time; Stability; Control theory; Eigenvalues and eigenfunctions; Equations; Kalman filters; Polynomials; Stability; Sufficient conditions; Symmetric matrices; Time varying systems; Transient response;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1975.1100869
Filename :
1100869
Link To Document :
بازگشت