Abstract
In this paper, the stability of grey discrete-time systems is discussed whose state matrices are interval matrices. A new approach is obtained which guarantee the stability of grey discrete-time systems. The sufficient condition for robust stability of grey time delay systems subjected to interval systems is also derived. By mathematical analysis, the stability criterion is less conservative than those in previous results. Examples are given to compare the proposed method with reported recently.
| Original language | English |
|---|---|
| Pages (from-to) | 15-23 |
| Number of pages | 9 |
| Journal | Journal of the Franklin Institute |
| Volume | 342 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2005 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Signal Processing
- Information Systems and Management
- Control and Systems Engineering
- Electrical and Electronic Engineering
- Applied Mathematics
- Control and Optimization
- Modelling and Simulation
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Another sufficient condition for the stability of grey discrete-time systems. / Liu, Pin L.; Shyr, Wen-Jye.
In: Journal of the Franklin Institute, Vol. 342, No. 1, 01.01.2005, p. 15-23.Research output: Contribution to journal › Article
TY - JOUR
T1 - Another sufficient condition for the stability of grey discrete-time systems
AU - Liu, Pin L.
AU - Shyr, Wen-Jye
PY - 2005/1/1
Y1 - 2005/1/1
N2 - In this paper, the stability of grey discrete-time systems is discussed whose state matrices are interval matrices. A new approach is obtained which guarantee the stability of grey discrete-time systems. The sufficient condition for robust stability of grey time delay systems subjected to interval systems is also derived. By mathematical analysis, the stability criterion is less conservative than those in previous results. Examples are given to compare the proposed method with reported recently.
AB - In this paper, the stability of grey discrete-time systems is discussed whose state matrices are interval matrices. A new approach is obtained which guarantee the stability of grey discrete-time systems. The sufficient condition for robust stability of grey time delay systems subjected to interval systems is also derived. By mathematical analysis, the stability criterion is less conservative than those in previous results. Examples are given to compare the proposed method with reported recently.
UR - http://www.scopus.com/inward/record.url?scp=10044244601&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=10044244601&partnerID=8YFLogxK
U2 - 10.1016/j.jfranklin.2004.07.008
DO - 10.1016/j.jfranklin.2004.07.008
M3 - Article
VL - 342
SP - 15
EP - 23
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
SN - 0016-0032
IS - 1
ER -