Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems

By Vladimir L. Kharitonov, A. Zhabko. at - Automatisierungstechnik, 2003

419 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ae714adbd41e84e7cb813747fedf0c0caf1963a8

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. Emilia M. Fridman
2. Silviu-Iulian Niculescu
3. Uri Shaked
4. Alexandre Seuret
5. Yong He
6. James Lam
7. Frédéric Gouaisbaut
8. Min Wu

In Control and Systems Engineering

1. Emilia M. Fridman
2. Uri Shaked
3. James Lam
4. Silviu-Iulian Niculescu
5. Shengyuan Xu
6. Alexandre Seuret
7. Yong He
8. Min Wu

Citations in the corpus

• On complete Lyapunov–Krasovskii functional techniques for uncertain systems with fast‐varying delays (2008, methodology): “1 (Kharitonov and Niculescu [9]) Consider (1) with”
• Tutorial on Lyapunov-based methods for time-delay systems (2014, methodology): “It was proved in [40] that if the system (10) is asymptotically stable, then the complete Lyapunov functional has a quadratic lower bound V ðφÞZεjφð0Þj2 for some ε40 and satisfies the derivative condition (46).”
• Hierarchy of LMI conditions for the stability analysis of time-delay systems (2015, neutral): “For a single and constant delay, a Lyapunov functional candidate, called complete LKF [17] leads to a necessary and sufficient stability condition.”
• Stability and guaranteed cost control of uncertain discrete delay systems (2005, methodology): “Such an augmentation is impossible in the continuous-time case, where the complete LKF should be used (see, e.g. Kharitonov and Zhabko 2003), which leads to complicated conditions.”