Title :
An improved stabilization method for linear time-delay systems
Author :
Fridman, Emilia ; Shaked, Uri
Author_Institution :
Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel
fDate :
11/1/2002 12:00:00 AM
Abstract :
In this paper, we combine a new approach for linear time delay systems based on a descriptor representation with a recent result on bounding of cross products of vectors. A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained. This criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncertainty, of either the polytopic or the norm-bounded types.
Keywords :
linear matrix inequalities; linear systems; stability; state feedback; time-varying systems; delay-dependent criterion; descriptor representation; linear matrix inequality; linear time-delay systems; norm-bounded types; parameter uncertainty; stabilization method; stabilizing state-feedback design; time-varying delay; Control systems; Delay effects; Delay systems; Design methodology; Linear matrix inequalities; Linear systems; Stability criteria; Time varying systems; Uncertain systems; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.804462
