Delay-dependent robust stabilization for uncertain singular systems with multiple time-varying state delays

2010 ◽  
Vol 12 (6) ◽  
pp. 734-738 ◽  
Author(s):  
Lili Liu ◽  
Qingling Zhang ◽  
Zhaoping Du
Keyword(s):  
Singular Systems ◽  
Robust Stabilization ◽  
Multiple Time ◽  
Time Varying ◽  
State Delays ◽  
Uncertain Singular Systems ◽  
Delay Dependent

scholarly journals Novel Stabilization Conditions for Uncertain Singular Systems with Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Yuanchun Ding ◽  
Falu Weng ◽  
Ji Ge ◽  
Qi Liang ◽  
Xueyi Zhi
Keyword(s):  
Singular Systems ◽  
Singular System ◽  
Robust Stabilization ◽  
State Feedback Control ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Uncertain Singular Systems ◽  
Delay Dependent ◽  
Varying Delay

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.

Delay-dependent Robust H∞ Control for Uncertain Singular Systems with Time-varying Delay⋆

2008 ◽  
Vol 41 (2) ◽  
pp. 5874-5879 ◽  
Author(s):  
Huijiao WANG ◽  
Anke XUE ◽  
Renquan LU ◽  
Xiaodong ZHAO ◽  
Xiaohui ZHOU
Keyword(s):  
Singular Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Uncertain Singular Systems ◽  
Delay Dependent ◽  
Varying Delay
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