Affine Bessel–Legendre inequality: Application to stability analysis for systems with time-varying delays

Affine Bessel–Legendre inequality: Application to stability analysis for systems with... Recently, some novel inequalities have been proposed such as the auxiliary function-based integral inequality and the Bessel–Legendre inequality which can be obtained from the former by choosing Legendre polynomials as auxiliary functions. These inequalities have been successfully applied to systems with constant delays but there have been some difficulties in application to systems with time-varying delays since the resulting bounds contain the reciprocal convexity which may not be tractable as it is. This paper proposes an equivalent form of the Bessel–Legendre inequality, which has the advantage of being easily applied to systems with time-varying delays without the reciprocal convexity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automatica Elsevier

Affine Bessel–Legendre inequality: Application to stability analysis for systems with time-varying delays

Loading next page...
 
/lp/elsevier/affine-bessel-legendre-inequality-application-to-stability-analysis-mD7unEFYRI
Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier Ltd
ISSN
0005-1098
D.O.I.
10.1016/j.automatica.2018.03.073
Publisher site
See Article on Publisher Site

Abstract

Recently, some novel inequalities have been proposed such as the auxiliary function-based integral inequality and the Bessel–Legendre inequality which can be obtained from the former by choosing Legendre polynomials as auxiliary functions. These inequalities have been successfully applied to systems with constant delays but there have been some difficulties in application to systems with time-varying delays since the resulting bounds contain the reciprocal convexity which may not be tractable as it is. This paper proposes an equivalent form of the Bessel–Legendre inequality, which has the advantage of being easily applied to systems with time-varying delays without the reciprocal convexity.

Journal

AutomaticaElsevier

Published: Jul 1, 2018

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off