Integral Inequalities

Ju H. Park (), Tae H. Lee, Yajuan Liu and Jun Chen
Additional contact information
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 3 in Dynamic Systems with Time Delays: Stability and Control, 2019, pp 61-91 from Springer

Abstract: Abstract Integral inequalities play an essential role in the stability analysis of continuous-time systems with time delay. So, developing an accurate integral inequality is of particular importance. In this chapter, we will focus on the study of integral inequalitiesIntegral inequalities. Various single- and multiple-integral inequalities will be presented, including some existing well-known ones such as the Jensen, Wirtinger-based and free-matrix-based inequalities. All of these inequalities can be classified into two types: those without free matrices and those with free matrices. The relationship between the two corresponding inequalities with and without free matrices is discussed. It is worth pointing out that polynomials, especially, orthogonal polynomials, are usually employed to develop integral inequalities. Moreover, more polynomials considered, tighter bounds produced.

Keywords: Free matrices; Integral inequalities; Legendre polynomials; Orthogonal polynomials (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-9254-2_3

Ordering information: This item can be ordered from
http://www.springer.com/9789811392542

DOI: 10.1007/978-981-13-9254-2_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().