DocumentCode :
852046
Title :
A Lyapunov theory for linear time-delay systems
Author :
Lee, E.B. ; Lu, W.-S. ; Wu, N.E.
Author_Institution :
University of Minnesota, Minneapolis, MN, USA
Volume :
31
Issue :
3
fYear :
1986
fDate :
3/1/1986 12:00:00 AM
Firstpage :
259
Lastpage :
261
Abstract :
Some relationships between a Lyapunov based stability test and linear control system models with time delays are explored. The main result is a generalization of the result that if ( 
) is a reachable pair of matrices, then square 
is a stability matrix if and only if there is a positive-definite matrix 
such that 
.
) is a reachable pair of matrices, then square is a stability matrix if and only if there is a positive-definite matrix such that .Keywords :
Delay systems, linear; Lyapunov methods, linear systems; Delay; Eigenvalues and eigenfunctions; Filtering theory; State-space methods; Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1986.1104242
Filename :
1104242
Link To Document :
