On robust stabilization of uncertain stochastic time-delay systems - An LMI-based approach

Chien Yu Lu; Te Jen Su; Jason Sheng Hong Tsai

doi:10.1016/j.jfranklin.2005.01.004

On robust stabilization of uncertain stochastic time-delay systems - An LMI-based approach

Chien Yu Lu, Te Jen Su, Jason Sheng Hong Tsai

Department of Industrial Education and Technology

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

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	https://doi.org/10.1016/j.jfranklin.2005.01.004
Publication status	Published - 2005 Aug

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

Access to Document

10.1016/j.jfranklin.2005.01.004

Fingerprint Dive into the research topics of 'On robust stabilization of uncertain stochastic time-delay systems - An LMI-based approach'. Together they form a unique fingerprint.

Cite this

@article{3eb463fc61bc45e4b9d2f25412ad8bd9,

title = "On robust stabilization of uncertain stochastic time-delay systems - An LMI-based approach",

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.",

author = "Lu, {Chien Yu} and Su, {Te Jen} and Tsai, {Jason Sheng Hong}",

note = "Funding Information: This work was supported by National Science Council of Republic of China under Contact NSC-90-2213-E-151-009.",

year = "2005",

month = aug,

doi = "10.1016/j.jfranklin.2005.01.004",

language = "English",

volume = "342",

pages = "473--487",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

publisher = "Elsevier Limited",

number = "5",

}

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

N1 - Funding Information: This work was supported by National Science Council of Republic of China under Contact NSC-90-2213-E-151-009.

PY - 2005/8

Y1 - 2005/8

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 -