Absolute stability of Lur'e systems with time-varying delay

By Qing-Long Han, Dong Yue. 2007

118 citations recorded by the source corpus.

The problem of the absolute the stability of Lur'e systems with time-varying delay is addressed. Full consideration is given to two cases of time-varying delays – one being continuous-uniformly bounded and the other being differentiable-uniformly bounded with the derivative of the delay bounded by a constant. Some delay-dependent absolute-stability criteria are derived and formulated in the form of linear matrix inequalities. The relationship between the absolute stability criteria for the two cases of time-varying delays is built. A numerical example shows the effectiveness of the obtained results.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b7c3d80a3a0c9f3f11312cde4c9725914ee4f2bf

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In Computer Networks and Communications

1. Xianming Zhang
2. Qing-Long Han
3. Xiaohua Ge
4. Lei Ding
5. Dong Yue
6. Chen Peng
7. Yong He
8. Derui Ding

In Control and Systems Engineering

1. Xianming Zhang
2. Qing-Long Han
3. Xiaohua Ge
4. Yong He
5. Lei Ding
6. Min Wu
7. Dong Yue
8. Qing-Long Han

In Statistical and Nonlinear Physics

1. Xianming Zhang
2. Qing-Long Han

Citations in the corpus

• Novel delay‐derivative‐dependent stability criteria using new bounding techniques (2013, result): “There have been some delay-dependent stability criteria reported in the literature [3–9].”