Technical Communique: Robust stability of uncertain delay-differential systems of neutral type

By Qing-Long Han. 2002

277 citations recorded by the source corpus.

This paper focuses on the stability problem for neutral delay-differential systems with norm-bounded, and possibly time-varying, uncertainty. The time-delay is assumed constant and known. A stability criterion that is formulated in a linear matrix inequality (LMI) form is derived. Numerical examples show that the results obtained by this new criterion significantly improve the estimate of stability limit over some existing results in the literature.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a7d4def65fe48ec78b170331babb399c8680d321

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. James Lam
2. Shengyuan Xu
3. Huijun Gao
4. Qing-Long Han
5. Yun Zou
6. Dong Yue
7. Min Wu
8. Qing-Long Han

In Control and Systems Engineering

1. James Lam
2. Shengyuan Xu
3. Huijun Gao
4. Qing-Long Han
5. Yun Zou
6. Dong Yue
7. Min Wu
8. Tongwen Chen

Citations in the corpus

• Further results on delay‐dependent robust stability conditions of uncertain neutral systems (2005, background): “Example 4 Consider a nominal neutral system in (5) with A ¼ 1:7073 0:6856 0:2279 0:6368 2 4 3 5; A1 ¼ 2:5026 1:0540 0:1856 1:5715 2 4 3 5 C ¼ 0:0558 0:0360 0:2747 0:1084 2 4 3 5 By the methods in References [16] and [5], the maximum allowed %h can be calculated as 0.4856 and 0.5171, respectively, wh”
• Delay-dependent stabilization of linear systems with time-varying state and input delays (2005, unknown): “All rights reserved. doi:10.1016/j.automatica.2005.03.009 of researchers (seeBarmish, 1985; Xie, 1996; Gu, 2000; Han, 2002).”
• Stability analysis for continuous systems with two additive time-varying delay components (2007, background): “Most of the reported results on time-delay systems are based on this basic mathematical model (see, for instance, [1,4,7,11,13,18,19] and the references therein).”
• DELAY-DEPENDENT ROBUST STABILITY OF TIME DELAY SYSTEMS (2006, unknown): “(Niculescu et al. , 1995) 0.99 11 (Moon et al. , 2001) 4.3588 16 (Han, 2002) 4.4721 9 or 18 (Fridman, 2002) 4.47 27 (Xu and Lam, 2005) 4.4721 17 (Suplin et al. , 2004) 4 1 show that Theorem 1 gives similar results to papers using descriptor system approach and bounding techniques from (Lee et al. ,…”
• Stability analysis for neutral systems with mixed delays (2007, methodology): “Overall, again these results demonstrate that the delay-dependent robust stability condition in our paper is less conservative than the existing approaches in [6,9].”