TY - GEN
T1 - Strict positive realness for linear time-invariant systems with time-delays
AU - Lu, Guoping
AU - Yeung, L. F.
AU - Ho, D. W C
AU - Zheng, Yufan
PY - 2000/12
Y1 - 2000/12
N2 - Strict positive realness (SPR) of linear time-invariant systems with multiple time-delays is discussed in this paper. We present sufficient conditions via linear matrix inequalities (LMIs) such that linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control system. Furthermore, we give an LMI approach to the optimization problem of computation of the maximal allowable bound on the time-delays such that the closed-loop system is α-SPR.
AB - Strict positive realness (SPR) of linear time-invariant systems with multiple time-delays is discussed in this paper. We present sufficient conditions via linear matrix inequalities (LMIs) such that linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control system. Furthermore, we give an LMI approach to the optimization problem of computation of the maximal allowable bound on the time-delays such that the closed-loop system is α-SPR.
KW - Asymptotic stability
KW - Linear matrix inequality
KW - Linear system
KW - Strictly positive real
KW - Time-delay
UR - http://www.scopus.com/inward/record.url?scp=0034443971&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0034443971&origin=recordpage
U2 - 10.1109/CDC.2001.914727
DO - 10.1109/CDC.2001.914727
M3 - 32_Refereed conference paper (with host publication)
SN - 0-7803-6638-7
VL - 5
SP - 5004
EP - 5009
BT - Proceedings of the IEEE Conference on Decision and Control
PB - IEEE
CY - Australia
T2 - 39th IEEE Confernce on Decision and Control (2000 IEEE CDC)
Y2 - 12 December 2000 through 15 December 2000
ER -