Stability and Stabilization of Systems with Time Delay

By Rifat Sipahi, Silviu‐Iulian Niculescu, C. Abdallah, Wim Michiels, Keqin Gu. IEEE Control Systems, 2011

621 citations recorded by the source corpus.

Subfields: Computer Networks and Communications

View Paper: https://www.semanticscholar.org/paper/3fb071fed13e8b2f44e0b110e7047b3d271e607e

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In Computer Networks and Communications

1. Yong He
2. Hongbing Zeng
3. Min Wu
4. Alexandre Seuret
5. Jinhua She
6. Frédéric Gouaisbaut
7. Xiaodi Li
8. James Lam

Citations in the corpus

• Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities (2018, background): “INTRODUCTION This paper is devoted to the stability analysis of linear timedelay systems, which represent a wide class of systems arising in many applications such as in biology, in traffic control, in engineering, in cyber-physical systems or in networked control systems (see for instance the books”
• Stabilization of Delay Systems: Delay-Dependent Impulsive Control (2017, background): “INTRODUCTION DELAY systems have been extensively studied in last decades due to their widely applications in many fields such as neural networks [1], [2], biology [3], manufacturing processes [4] and information technology [5], [6], and there are significant contributions in the literatures, see [7]”
• Hierarchy of LMI conditions for the stability analysis of time-delay systems (2015, background): “A first idea consists in the study of the characteristic equation associated with the delay system (see [11, 29] and references therein).”
• Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design (2020, neutral): “…is the frequency domain approach since in the Laplace domain, where a number of effective methods have been proposed, the stability analysis amounts to studying the distribution of the characteristic quasipolynomial function’s roots, see for instance [3, 4, 18, 19, 21, 24, 35, 43, 54, 55, 59, 60].”
• Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay (2015, background): “A time delay in a system is often a source of instability, and this topic has been widely studied (for example, see [1]–[5] and references therein).”