TY - JOUR
T1 - On delay-dependent passivity
AU - Fridman, Emilia
AU - Shaked, U.
N1 - Funding Information:
Manuscript received May 9, 2001; revised September 24, 2001. Recommended by Associate Editor V. Balakrishnan. This work was supported by the Ministry of Absorption of Israel, and also by the C & M Maus Chair at Tel Aviv University. The authors are with the Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 69978, Israel (e-mail: [email protected]). Publisher Item Identifier S 0018-9286(02)03748-0.
PY - 2002/4
Y1 - 2002/4
N2 - Sufficient conditions for passivity (positive realness) are obtained for continuous-time, linear, retarded, and neutral-type systems. A delay-dependent solution is given in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. A memoryless state-feedback solution is derived. Numerical examples are given which illustrate the effectiveness of the new theory.
AB - Sufficient conditions for passivity (positive realness) are obtained for continuous-time, linear, retarded, and neutral-type systems. A delay-dependent solution is given in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. A memoryless state-feedback solution is derived. Numerical examples are given which illustrate the effectiveness of the new theory.
KW - Delay-dependent criteria
KW - Linear matrix inequalities (LMIs)
KW - Positive-real lemma
KW - Time-delay systems
UR - http://www.scopus.com/inward/record.url?scp=0036530869&partnerID=8YFLogxK
U2 - 10.1109/9.995046
DO - 10.1109/9.995046
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AN - SCOPUS:0036530869
SN - 0018-9286
VL - 47
SP - 664
EP - 669
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 4
ER -