Abstract
This paper investigates the problem of robust stabilization for genetic regulatory networks with interval time-varying delays, which are subject to norm-bounded time-varying parameter uncertainties. The time delays including lower and upper bounds of delay are assumed to appear in both the mRNA and protein. The regulatory functions are assumed to be globally Lipschitz continuous. The resulting delay-range-dependent robust controller with interval range is designed in terms of improved bounding technique. A sufficient condition for the solvability of the problem is obtained via a linear matrix inequality (LMI). When this LMI is feasible, an explicit expression of a desired state feedback controller is also given. The theory developed in this paper is demonstrated by two numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 234-245 |
| Number of pages | 12 |
| Journal | Automatic Control and Computer Sciences |
| Volume | 44 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2010 Aug 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Software
- Signal Processing
Cite this
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Design of delay-range-dependent robust controller for uncertain genetic regulatory networks with interval time-varying delays. / Liao, Chin-Wen; Lu, Chien-Yu.
In: Automatic Control and Computer Sciences, Vol. 44, No. 4, 01.08.2010, p. 234-245.Research output: Contribution to journal › Article
TY - JOUR
T1 - Design of delay-range-dependent robust controller for uncertain genetic regulatory networks with interval time-varying delays
AU - Liao, Chin-Wen
AU - Lu, Chien-Yu
PY - 2010/8/1
Y1 - 2010/8/1
N2 - This paper investigates the problem of robust stabilization for genetic regulatory networks with interval time-varying delays, which are subject to norm-bounded time-varying parameter uncertainties. The time delays including lower and upper bounds of delay are assumed to appear in both the mRNA and protein. The regulatory functions are assumed to be globally Lipschitz continuous. The resulting delay-range-dependent robust controller with interval range is designed in terms of improved bounding technique. A sufficient condition for the solvability of the problem is obtained via a linear matrix inequality (LMI). When this LMI is feasible, an explicit expression of a desired state feedback controller is also given. The theory developed in this paper is demonstrated by two numerical examples.
AB - This paper investigates the problem of robust stabilization for genetic regulatory networks with interval time-varying delays, which are subject to norm-bounded time-varying parameter uncertainties. The time delays including lower and upper bounds of delay are assumed to appear in both the mRNA and protein. The regulatory functions are assumed to be globally Lipschitz continuous. The resulting delay-range-dependent robust controller with interval range is designed in terms of improved bounding technique. A sufficient condition for the solvability of the problem is obtained via a linear matrix inequality (LMI). When this LMI is feasible, an explicit expression of a desired state feedback controller is also given. The theory developed in this paper is demonstrated by two numerical examples.
UR - http://www.scopus.com/inward/record.url?scp=78049340009&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78049340009&partnerID=8YFLogxK
U2 - 10.3103/S0146411610040073
DO - 10.3103/S0146411610040073
M3 - Article
VL - 44
SP - 234
EP - 245
JO - Automatic Control and Computer Sciences
JF - Automatic Control and Computer Sciences
SN - 0146-4116
IS - 4
ER -