Basics and Preliminaries of Time-Delay Systems

Ju H. Park (), Tae H. Lee, Yajuan Liu and Jun Chen
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Ju H. Park: Yeungnam University, Department of Electrical Engineering
Tae H. Lee: Chonbuk National University, Division of Electronic Engineering
Yajuan Liu: North China Electric Power University, Control and Computer Engineering
Jun Chen: Jiangsu Normal University, School of Electrical Engineering and Automation

Chapter Chapter 2 in Dynamic Systems with Time Delays: Stability and Control, 2019, pp 23-58 from Springer

Abstract: Abstract In this chapter, we review the basic characteristics and properties of dynamic systems with time delays, and revisit remarkable research achievements made by many researchers during the last decades. In particular, we explore remarkable mathematical equations, inequalities, and lemmas which are widely used in system analysis to deal with state variables including time delays that are essentially encountered when the stability and control problems of dynamic systems and networks with time delays have been considered. We will also look at the results of Lyapunov function selection for the stability analysis of dynamic systems because the Lyapunov stability analysis method is almost the only alternative for solving the stability and control problems. Finally, we end this chapter by introducing the main issues related to stabilization of the time delay system.

Keywords: Time-delay systems; Retarded type; Neutral type; Inequality; Stability; Control (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-9254-2_2

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DOI: 10.1007/978-981-13-9254-2_2

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