Strict positive realness for linear time-invariant systems with time-delays
Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45) › 32_Refereed conference paper (with ISBN/ISSN) › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the IEEE Conference on Decision and Control |
| Place of Publication | Australia |
| Publisher | IEEE |
| Pages | 5004-5009 |
| Volume | 5 |
| ISBN (Print) | 0-7803-6638-7 |
| Publication status | Published - Dec 2000 |
Conference
| Title | 39th IEEE Confernce on Decision and Control (2000 IEEE CDC) |
|---|---|
| Location | Sydney Convention and Exhibition Centre |
| Place | Australia |
| City | Sydney |
| Period | 12 - 15 December 2000 |
Link(s)
Abstract
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.
Research Area(s)
- Asymptotic stability, Linear matrix inequality, Linear system, Strictly positive real, Time-delay
Citation Format(s)
Strict positive realness for linear time-invariant systems with time-delays. / Lu, Guoping; Yeung, L. F.; Ho, D. W C et al.
Proceedings of the IEEE Conference on Decision and Control. Vol. 5 Australia : IEEE, 2000. p. 5004-5009.Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45) › 32_Refereed conference paper (with ISBN/ISSN) › peer-review
