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...

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Main Authors: Peerapongpat Singkibud, Piyapong Niamsup, Kanit Mukdasai
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/47003
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spelling th-cmuir.6653943832-470032018-04-25T07:24:23Z 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 Agricultural and Biological Sciences 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. 2018-04-25T07:08:55Z 2018-04-25T07:08:55Z 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/6653943832/47003
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Agricultural and Biological Sciences
spellingShingle Agricultural and Biological Sciences
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/6653943832/47003
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