Technical communique: Absolute stability of time-delay systems with sector-bounded nonlinearity

By Qing-Long Han. 2005

587 citations recorded by the source corpus.

This paper deals with the problem of absolute stability of time-delay systems with sector-bounded nonlinearity. Some new delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities (LMIs). Neither model transformation nor bounding technique for cross terms is involved through derivation of the stability criteria. Numerical examples show that the results obtained in this paper improve the estimate of the stability limit over some existing result.

Subfields: Control and Systems Engineering, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a83d4f5bdb227cff7859346f656efec64010edb0

How researchers see this paper

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

In Control and Systems Engineering

1. Qing-Long Han
2. James Lam
3. Shengyuan Xu
4. Yong He
5. Min Wu
6. Hongbing Zeng
7. Xianming Zhang
8. Xiaohua Ge

In Electrical and Electronic Engineering

1. Qing-Long Han
2. Min Wu
3. Shengyuan Xu
4. Qing-Long Han
5. Xiaohua Ge
6. Yong He
7. Hongbing Zeng
8. James Lam

In Numerical Analysis

1. Yong He
2. Hongbing Zeng
3. Min Wu
4. Qing-Long Han
5. James Lam
6. Shengyuan Xu
7. Jinhua She
8. Xiaohua Ge

Citations in the corpus

• Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements (2009, unknown): “It is worth mentioning that, among different descriptions of the nonlinearities, the so-called sector nonlinearity [14] has gained much attention for deterministic systems, and both the control analysis and model reduction problems have been investigated, see [11, 15].”
• New results on stability analysis for systems with discrete distributed delay (2015, methodology): “Ways of doing that include a descriptor model transformation (Fridman & Shaked, 2002), the freeweighting matrix technique (Wu, He, She, & Liu, 2004), and integral inequality methods (Han, 2005; Zhang & Han, 2014). Recently, Seuret and Gouaisbaut (2013) presented aWirtinger-based inequality that is l”
• Sampling‐interval‐dependent stability for sampled‐data systems with state quantization (2014, methodology): “Then, use the Jensen inequality [24] to obtain Z t”
• A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, methodology): “…been used to deal with different kinds of time-delay systems in order to obtain delay-dependent results (see Gu et al. 2003; Han 2003a,b; Han 2004; Han 2005a,c; Jiang and Han 2005; Lien 2005; Park 2005; Park and Kwon 2005; Kwon and Park 2006; Lien 2006; Wu, Shi, Wang, and Gao 2006; Chen and…”
• A Delay Decomposition Approach to Stability of Linear Neutral Systems (2008, methodology): “Compared with the above mentioned results, the most advantage of the result in Han (2005a) is that the stability condition which was formulated in an LMI form, was very simple and easily applied to controller design, and did only include the Lyapunov-Krasovskii functional matrices variables P,Q and…”