Abstract
In this paper, we first deal with the robust stability of uncertain linear stochastic differential delay systems. The parameter uncertainties are time-varying and unknown but are norm-bounded via two types of uncertainties, and the delays are time invariant. We then extend the proposed theory to discuss the robust stabilization of uncertain stochastic differential delay systems. These results are given in terms of linear matrix inequalities. Two examples are presented to illustrate the effectiveness.
| Original language | English |
|---|---|
| Pages (from-to) | 473-487 |
| Number of pages | 15 |
| Journal | Journal of the Franklin Institute |
| Volume | 342 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2005 Aug 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Signal Processing
- Computer Networks and Communications
- Applied Mathematics
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On robust stabilization of uncertain stochastic time-delay systems - An LMI-based approach. / Lu, Chien-Yu; Su, Te Jen; Tsai, Jason Sheng Hong.
In: Journal of the Franklin Institute, Vol. 342, No. 5, 01.08.2005, p. 473-487.Research output: Contribution to journal › Article
TY - JOUR
T1 - On robust stabilization of uncertain stochastic time-delay systems - An LMI-based approach
AU - Lu, Chien-Yu
AU - Su, Te Jen
AU - Tsai, Jason Sheng Hong
PY - 2005/8/1
Y1 - 2005/8/1
N2 - In this paper, we first deal with the robust stability of uncertain linear stochastic differential delay systems. The parameter uncertainties are time-varying and unknown but are norm-bounded via two types of uncertainties, and the delays are time invariant. We then extend the proposed theory to discuss the robust stabilization of uncertain stochastic differential delay systems. These results are given in terms of linear matrix inequalities. Two examples are presented to illustrate the effectiveness.
AB - In this paper, we first deal with the robust stability of uncertain linear stochastic differential delay systems. The parameter uncertainties are time-varying and unknown but are norm-bounded via two types of uncertainties, and the delays are time invariant. We then extend the proposed theory to discuss the robust stabilization of uncertain stochastic differential delay systems. These results are given in terms of linear matrix inequalities. Two examples are presented to illustrate the effectiveness.
UR - http://www.scopus.com/inward/record.url?scp=19944408688&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=19944408688&partnerID=8YFLogxK
U2 - 10.1016/j.jfranklin.2005.01.004
DO - 10.1016/j.jfranklin.2005.01.004
M3 - Article
AN - SCOPUS:19944408688
VL - 342
SP - 473
EP - 487
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
SN - 0016-0032
IS - 5
ER -