TY - JOUR
T1 - Robust stability of uncertain linear systems with time-varying delay and non-linear perturbations
AU - Qiu, Jiqing
AU - Zhang, Jinhui
AU - Shi, Peng
PY - 2006
Y1 - 2006
N2 - In this paper, the problem of robust stability for uncertain linear systems with time-varying delay and non-linear perturbations is investigated. The systems possess both nonlinear perturbations and norm-bounded uncertainties. Based on the Lyapunov-Krasovskii functional approach and S procedure, a new delay-dependent stability criterion is presented, which is in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed techniques.
AB - In this paper, the problem of robust stability for uncertain linear systems with time-varying delay and non-linear perturbations is investigated. The systems possess both nonlinear perturbations and norm-bounded uncertainties. Based on the Lyapunov-Krasovskii functional approach and S procedure, a new delay-dependent stability criterion is presented, which is in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed techniques.
KW - Linear matrix inequalities
KW - Non-linear perturbations
KW - Norm-bounded uncertainty
KW - Robust stability
KW - Time-varying delay
UR - http://www.scopus.com/inward/record.url?scp=34247140568&partnerID=8YFLogxK
U2 - 10.1243/09596518JSCE217
DO - 10.1243/09596518JSCE217
M3 - Article
AN - SCOPUS:34247140568
SN - 0959-6518
VL - 220
SP - 411
EP - 416
JO - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
IS - 5
ER -