![](/images/graphics-bg.png)
Novel Stabilization Conditions for Uncertain Singular Systems with Time-Varying Delay
Joint Authors
Zhi, Xueyi
Ge, Ji
Liang, Qi
Ding, Yuanchun
Weng, Falu
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The problem of delay-dependent robust stabilization for continuously singular time-varying delay systems with norm-bounded uncertainties is investigated in this paper.
First, based on some mathematical transform, the uncertain singular system is described in a form which involves the time-delay integral items.
Then, in terms of the delay-range-dependent Lyapunov functional and the LMI technique, the improved delay-dependent LMIs-based conditions are established for the uncertain singular systems with time-varying delay to be regular, causal, and stable.
Furthermore, by solving these LMIs, an explicit expression for the desired state feedback control law can be obtained; thus, the regularity, causality, and stability of the closed-loop system are guaranteed.
In the end, numerical examples are given to illustrate the effectiveness of the proposed methods.
American Psychological Association (APA)
Ding, Yuanchun& Weng, Falu& Ge, Ji& Liang, Qi& Zhi, Xueyi. 2014. Novel Stabilization Conditions for Uncertain Singular Systems with Time-Varying Delay. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-498872
Modern Language Association (MLA)
Ding, Yuanchun…[et al.]. Novel Stabilization Conditions for Uncertain Singular Systems with Time-Varying Delay. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-498872
American Medical Association (AMA)
Ding, Yuanchun& Weng, Falu& Ge, Ji& Liang, Qi& Zhi, Xueyi. Novel Stabilization Conditions for Uncertain Singular Systems with Time-Varying Delay. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-498872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498872