کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707996 1519485 2014 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability criterion for a class of nonlinear fractional differential systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Stability criterion for a class of nonlinear fractional differential systems
چکیده انگلیسی

Stability analysis of nonlinear fractional differential systems has been an open problem since the 1990s of the last century. Apparently, Lyapunov’s second method seems to be invalid for nonlinear fractional differential systems (equations). In this paper, we are concerned with this open problem and have solved it partly. Based on Lyapunov’s second method, a novel stability criterion for a class of nonlinear fractional differential system is derived. Our result is simple, global and theoretically rigorous. The conditions to guarantee the stability of the nonlinear fractional differential system are convenient for testing. Compared with the stability criteria in the literature, our criterion is straightforward and suitable for application. Several examples are provided to illustrate the applications of our result.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 28, February 2014, Pages 25–29
نویسندگان
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