کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
563673 875522 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Initial conditions and initialization of linear fractional differential equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Initial conditions and initialization of linear fractional differential equations
چکیده انگلیسی

Mastery of the initial conditions of fractional order systems remains an open problem, in spite of a great number of contributions. This paper proposes a solution dedicated to linear fractional differential equations (FDEs), which is based on an equivalence principle between the original system and an exactly equivalent infinite dimensional ordinary differential equation (ODE). This equivalence principle is derived from the fractional integration operator concept and the frequency distributed state space model of this operator. Thanks to this principle, the FDE initial conditions problem is converted into a conventional ODE initialization problem, however with an infinite dimensional state vector. Practical FDE initialization is performed using an observer based technique applied to the equivalent ODE; a numerical example demonstrates the efficiency of this approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Signal Processing - Volume 91, Issue 3, March 2011, Pages 427–436
نویسندگان
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