کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7151416 | 1462280 | 2018 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quadratic Lyapunov functions for stability analysis in fractional-order systems with not necessarily differentiable solutions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quadratic Lyapunov functions for stability analysis in fractional-order systems with not necessarily differentiable solutions Quadratic Lyapunov functions for stability analysis in fractional-order systems with not necessarily differentiable solutions](/preview/png/7151416.png)
چکیده انگلیسی
Solutions of fractional-order differintegral equations are generally not necessarily integer-order differentiable, neither in the strong nor in the weak sense, thus limiting the stability analysis in systems based on the most conventional fractional-order operators. In this paper, a consistent and well-posed definition for fractional-order systems is performed based on the study of alternative fractional-order operators that preserve the most interesting and useful properties of differintegrals, even in the case of not necessarily integer-order (weakly) differentiable functions. In addition, it is shown that these operators comply to a recently verified well-known inequality, which allows us to demonstrate Mittag-Leffler stability in a more general class of fractional-order systems, considering quadratic Lyapunov functions, by demonstrating a generalization of the Lyapunov direct method for a class of fractional-order nonlinear systems. Illustrative examples are given to highlight the feasibility of the proposed method, and a multivariable fractional integral sliding mode control application is presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 116, June 2018, Pages 15-19
Journal: Systems & Control Letters - Volume 116, June 2018, Pages 15-19
نویسندگان
Aldo-Jonathan Muñoz-Vázquez, Vicente Parra-Vega, Anand Sánchez-Orta, Gerardo Romero-Galván,