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Delay-Dependent Robust H∞ Performance for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
المؤلفون المشاركون
Botmart, T.
Singkibud, Peerapongpat
Hiep, Luu Thi
Niamsup, Piyapong
Mukdasai, Kanit
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-16، 16ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-10-16
دولة النشر
مصر
عدد الصفحات
16
التخصصات الرئيسية
الملخص EN
This paper deals with the problems of delay-dependent stability and H∞ performance for uncertain neutral systems with time-varying delays, and nonlinear perturbations.
The time-varying delays are neutral, discrete, and distributed time-varying delays that the upper bounds for the delays are available.
The restrictions on the derivatives of the discrete and distributed time-varying delays are removed, which mean that a fast discrete time-varying delay is allowed.
The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively.
Firstly, by applying a novel Lyapunov-Krasovskii functional approach, Wirtinger-based integral inequality, Peng-Park’s integral inequality, decomposition technique of constant matrix, descriptor model transformation, Leibniz Newton formula and utilization of zero equation, and improved delay-dependent bounded real lemmas (BRL) for systems are established in terms of linear matrix inequalities (LMIs).
Then, based on the obtained BRL, some less conservative delay-dependent stability criteria of uncertain neutral systems with mixed time-varying delays and nonlinear perturbations are obtained and improved H∞ performance criterion with the framework of LMIs is introduced.
Finally, some numerical examples are given to illustrate that the presented method is effective.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Singkibud, Peerapongpat& Hiep, Luu Thi& Niamsup, Piyapong& Botmart, T.& Mukdasai, Kanit. 2018. Delay-Dependent Robust H∞ Performance for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1208042
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Singkibud, Peerapongpat…[et al.]. Delay-Dependent Robust H∞ Performance for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations. Mathematical Problems in Engineering No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1208042
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Singkibud, Peerapongpat& Hiep, Luu Thi& Niamsup, Piyapong& Botmart, T.& Mukdasai, Kanit. Delay-Dependent Robust H∞ Performance for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1208042
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1208042
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