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Optimal Design of Stochastic Distributed Order Linear SISO Systems Using Hybrid Spectral Method
المؤلفون المشاركون
Duong, Pham Luu Trung
Lee, Moonyong
Kwok, Ezra
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2015، العدد 2015 (31 ديسمبر/كانون الأول 2015)، ص ص. 1-14، 14ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2015-10-05
دولة النشر
مصر
عدد الصفحات
14
التخصصات الرئيسية
الملخص EN
The distributed order concept, which is a parallel connection of fractional order integrals and derivatives taken to the infinitesimal limit in delta order, has been the main focus in many engineering areas recently.
On the other hand, there are few numerical methods available for analyzing distributed order systems, particularly under stochastic forcing.
This paper proposes a novel numerical scheme for analyzing the behavior of a distributed order linear single input single output control system under random forcing.
The method is based on the operational matrix technique to handle stochastic distributed order systems.
The existing Monte Carlo, polynomial chaos, and frequency methods were first adapted to the stochastic distributed order system for comparison.
Numerical examples were used to illustrate the accuracy and computational efficiency of the proposed method for the analysis of stochastic distributed order systems.
The stability of the systems under stochastic perturbations can also be inferred easily from the moment of random output obtained using the proposed method.
Based on the hybrid spectral framework, the optimal design was elaborated on by minimizing the suitably defined constrained-optimization problem.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Duong, Pham Luu Trung& Kwok, Ezra& Lee, Moonyong. 2015. Optimal Design of Stochastic Distributed Order Linear SISO Systems Using Hybrid Spectral Method. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1075269
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Duong, Pham Luu Trung…[et al.]. Optimal Design of Stochastic Distributed Order Linear SISO Systems Using Hybrid Spectral Method. Mathematical Problems in Engineering No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1075269
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Duong, Pham Luu Trung& Kwok, Ezra& Lee, Moonyong. Optimal Design of Stochastic Distributed Order Linear SISO Systems Using Hybrid Spectral Method. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1075269
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1075269
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