DELAY-DEPENDENT STABILITY ANALYSIS OF LINEAR TIME DELAY SYSTEMS

By Frédéric Gouaisbaut, Dimitri Peaucelle. 2006

221 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/e034dfc19cba8d5e054dfe11deb22bbcf299114e

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. Qing-Long Han
3. Yong He
4. Huijun Gao
5. Xianming Zhang
6. Peng Shi
7. Alexandre Seuret
8. Min Wu

In Control and Systems Engineering

1. James Lam
2. Yong He
3. Qing-Long Han
4. Huijun Gao
5. Shengyuan Xu
6. Xianming Zhang
7. Alexandre Seuret
8. Min Wu

Citations in the corpus

• Integral partitioning approach to robust stabilization for uncertain distributed time‐delay systems (2012, methodology): “Gouaisbaut and Peaucelle [8] employ the delay partitioning approach to further reduce the conservatism of the result in [7].”
• Less conservative results on stability for linear systems with a time‐varying delay (2013, methodology): “In addition, a new LKF based on a delay decomposition technique was proposed in [20], which significantly reduced the conservativeness of the stability criteria for systems with constant delay.”
• Stability and Stabilization of Delayed T--S Fuzzy Systems: A Delay Partitioning Approach (2009, methodology): “STABILITY ANALYSIS In this section, by employing the instrumental idea of delay fractioning, where similar ideas have also appeared in [16] and [20], a new Lyapunov–Krasovskii functional candidate for T–S fuzzy time-delay systems is introduced.”
• Delay‐dependent robust H∞ controller synthesis for discrete singular delay systems (2011, background): “The reduction of conservatism is more prominent when the partitioning number m increases which has been proved in [36] for continuous-time systems.”
• A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems (2011, methodology): “The proof of this property is also given in [11] for continuous-time systems.”
• Overview of recent advances in stability of linear systems with time‐varying delays (2019, methodology): “4 Lyapunov–Krasovskii functionals based on a delayfractioning approach: Another kind of Lyapunov–Krasovskii functionals is based on the delay-fractioning approach [92].”
• Hierarchy of LMI conditions for the stability analysis of time-delay systems (2015, methodology): “The first one proposed by [1, 8, 13, 28, 31, 30] is to consider a simpler structure for the LKF than the previously mentioned complete LKF which is applied to some higher dimensional comparison systems.”
• Recent developments on the stability of systems with aperiodic sampling: An overview (2017, background): “Concerning the conservatism related to the overapproximation of integral terms (Step 3 ), the accuracy of Jensen’s inequality has been addressed in [94,26,233].”