𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Robust admissibility of time-varying singular systems with commensurate time delays

✍ Scribed by Shengyuan Xu; James Lam; Yun Zou; Jianzhen Li

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
891 KB
Volume
45
Category
Article
ISSN
0005-1098

No coin nor oath required. For personal study only.

✦ Synopsis

This paper addresses the problem of admissibility of time-varying singular systems with commensurate time delays. By introducing a new method to study the convergence of the fast sub-system, an admissibility condition is obtained in terms of linear matrix inequalities, which guarantees the considered time-varying singular delay system to be regular, impulse free and stable. Furthermore, a robust admissibility condition is proposed for the case when the time-varying system matrices admit the usual constant-plus-norm-bounded structure. It is theoretically established that the proposed robust admissibility condition is less conservative than the existing one in the literature. One of the important features of the results is that the inferred admissibility condition coincides with the usual stability condition for state-space delay systems. Moreover, the results are also applicable to the multiple rational delay case.

📜 SIMILAR VOLUMES

Robust Exponential Admissibility of Unce
Robust Exponential Admissibility of Uncertain Switched Singular Time-delay Systems
✍ Jin-Xing LIN; Shu-Min FEI 📂 Article 📅 2010 🏛 Elsevier ⚖ 226 KB

This paper investigates the problem of robust exponential admissibility for a class of continuous-time uncertain switched singular systems with interval time-varying delay. By defining a properly constructed decay-rate-dependent Lyapunov function and the average dwell time approach, a delay-range-de

New delay-dependent robust stability of
New delay-dependent robust stability of discrete singular systems with time-varying delay
✍ Zhaoping Du; Qingling Zhang; Lili Liu 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 190 KB 👁 2 views

## Abstract The robust stability of discrete singular systems with time‐varying delay is considered. New delay‐dependent stability criteria are proposed, which are dependent on the minimum and maximum delay bounds. A strict delay‐dependent linear matrix inequality (LMI) condition is obtained for a

Delay-dependent robust control for uncer
Delay-dependent robust control for uncertain discrete-time singular systems with time-delays
✍ Shuping Ma; Chenghui Zhang; Zhaolin Cheng 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 288 KB

The robust memoryless state feedback H ∞ control problem for uncertain time-delay discrete-time singular systems is discussed. Under a series of equivalent transformation, the equivalence of this problem and the robust state feedback H ∞ control problem for standard state-space uncertain time-delay

H∞ filtering for continuous-time singula
H∞ filtering for continuous-time singular systems with time-varying delay
✍ Xunlin Zhu; Youyi Wang; Yong Gan 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 157 KB 👁 2 views

## Abstract This paper focuses on __H__~∞~ filter design for continuous‐time singular systems with time‐varying delay. A delay‐dependent __H__~∞~ performance analysis result is first established for error systems via a novel estimation method. By combining a well‐known inequality with a delay parti