کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772989 | 1631065 | 2017 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Extension of diagonal stability and stabilization for continuous-time fractional positive linear systems
ترجمه فارسی عنوان
تعمیم ثبات مورب و تثبیت برای سیستم های خطی مثبت قطعی مداوم
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
This paper considers an extension of diagonal stability for continuous fractional positive linear systems (FPLS) with the fractional order 0<α<1. Based on diagonal stability of Metzler matrix, an extension that involves the combination of a diagonal positive definite matrix and a skew-symmetric anti-diagonal matrix related a Hurwitz and Metzler matrix is established. Combining this extension and the linear matrix inequalities (LMIs) criteria of stability for fractional order systems (FOS), a necessary and sufficient condition for extension diagonal stability of FPLS is presented. A state feedback controller is given, which ensures the stabilization and positivity of the closed-loop systems. Numerical examples are provided to demonstrate the effectiveness and applicability of the proposed methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 530, 1 October 2017, Pages 500-517
Journal: Linear Algebra and its Applications - Volume 530, 1 October 2017, Pages 500-517
نویسندگان
Xuefeng Zhang, Wenchao Huang,