TY - JOUR
T1 - Delay-dependent criteria for robust stability of linear systems with time-varying delay
AU - Meng, H.
AU - Kang, Y.
AU - Zhai, D.
PY - 2013
Y1 - 2013
N2 - The robust stability of linear systems with time-varying delay was considered in a given range. A new Lyapunov functional was constructed to introduce some state variables related to time-varying delay. Some less conservative results were derived in terms of linear matrix inequalities with respect to nominal systems and systems with norm-bounded uncertainties, respectively. Some numerical examples show the effectiveness of the derived results.
AB - The robust stability of linear systems with time-varying delay was considered in a given range. A new Lyapunov functional was constructed to introduce some state variables related to time-varying delay. Some less conservative results were derived in terms of linear matrix inequalities with respect to nominal systems and systems with norm-bounded uncertainties, respectively. Some numerical examples show the effectiveness of the derived results.
KW - Delay-dependent stability
KW - Linear matrix inequality (LMI)
KW - Lyapunov-Krasovskii functionals (LKFs)
KW - Nonuniform partition
KW - Time-varying delay
UR - http://www.scopus.com/inward/record.url?scp=84884935429&partnerID=8YFLogxK
U2 - 10.3969/j.issn.0253-2778.2013.07.002
DO - 10.3969/j.issn.0253-2778.2013.07.002
M3 - Article
AN - SCOPUS:84884935429
SN - 0253-2778
VL - 43
SP - 523
EP - 531
JO - Journal of University of Science and Technology of China
JF - Journal of University of Science and Technology of China
IS - 7
ER -