Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays

In this paper, we consider the delay-range- dependent robust stability problem for uncertain neutral sys- tems with mixed interval time-varying delays. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively. The restricti...

Full description

Saved in:
Bibliographic Details
Main Authors: Peerapongpat Singkibud, Piyapong Niamsup, Kanit Mukdasai
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85019875847&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/57517
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
id th-cmuir.6653943832-57517
record_format dspace
spelling th-cmuir.6653943832-575172018-09-05T03:44:50Z Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays Peerapongpat Singkibud Piyapong Niamsup Kanit Mukdasai Mathematics In this paper, we consider the delay-range- dependent robust stability problem for uncertain neutral sys- tems with mixed interval time-varying delays. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively. The restriction on the derivative of the discrete interval time- varying delay is removed, which means that a fast interval time- varying delay is allowed. By constructing a suitable augmented Lyapunov-Krasovskii functional, mixed model transformation, new improved integral inequalities, Leibniz-Newton formula and utilization of zero equation, new delay-range-dependent robust stability criteria are derived in terms of linear matrix inequalities (LMIs) for the systems. Moreover, we present new delay-range-dependent stability criteria for linear system with non-differentiable interval time-varying delay and nonlinear perturbations. Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods. 2018-09-05T03:44:50Z 2018-09-05T03:44:50Z 2017-05-24 Journal 19929986 19929978 2-s2.0-85019875847 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85019875847&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57517
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Peerapongpat Singkibud
Piyapong Niamsup
Kanit Mukdasai
Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays
description In this paper, we consider the delay-range- dependent robust stability problem for uncertain neutral sys- tems with mixed interval time-varying delays. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively. The restriction on the derivative of the discrete interval time- varying delay is removed, which means that a fast interval time- varying delay is allowed. By constructing a suitable augmented Lyapunov-Krasovskii functional, mixed model transformation, new improved integral inequalities, Leibniz-Newton formula and utilization of zero equation, new delay-range-dependent robust stability criteria are derived in terms of linear matrix inequalities (LMIs) for the systems. Moreover, we present new delay-range-dependent stability criteria for linear system with non-differentiable interval time-varying delay and nonlinear perturbations. Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.
format Journal
author Peerapongpat Singkibud
Piyapong Niamsup
Kanit Mukdasai
author_facet Peerapongpat Singkibud
Piyapong Niamsup
Kanit Mukdasai
author_sort Peerapongpat Singkibud
title Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays
title_short Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays
title_full Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays
title_fullStr Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays
title_full_unstemmed Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays
title_sort improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85019875847&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/57517
_version_ 1681424893506224128