TY - JOUR
T1 - Delay-dependent stability and H∞ control
T2 - Constant and time-varying delays
AU - Fridman, E.
AU - Shaked, U.
N1 - Funding Information:
This work was supported by the Ministry of Absorption of Israel and by C&M Maus Chair at Tel Aviv University.
PY - 2003/1/10
Y1 - 2003/1/10
N2 - Three main model transformations were used in the past for delay-dependent stability. Recently a new (descriptor) model transformation has been introduced. In the present paper, we compare methods under different transformations and show the advantages of the descriptor one. We obtain new delay-dependent stability conditions for systems with time-varying delays in terms of linear matrix inequalities. We also refine recent results on delay-dependent H∞ control and extend them to the case of time-varying delays. Numerical examples illustrate the effectiveness of our method.
AB - Three main model transformations were used in the past for delay-dependent stability. Recently a new (descriptor) model transformation has been introduced. In the present paper, we compare methods under different transformations and show the advantages of the descriptor one. We obtain new delay-dependent stability conditions for systems with time-varying delays in terms of linear matrix inequalities. We also refine recent results on delay-dependent H∞ control and extend them to the case of time-varying delays. Numerical examples illustrate the effectiveness of our method.
UR - http://www.scopus.com/inward/record.url?scp=0012716497&partnerID=8YFLogxK
U2 - 10.1080/0020717021000049151
DO - 10.1080/0020717021000049151
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AN - SCOPUS:0012716497
SN - 0020-7179
VL - 76
SP - 48
EP - 60
JO - International Journal of Control
JF - International Journal of Control
IS - 1
ER -