کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707953 1519479 2014 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Delay-independent stability of homogeneous systems
ترجمه فارسی عنوان
تاخیر ثبات مستقل از سیستم های همگن
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی

A class of nonlinear systems with homogeneous right-hand sides and time-varying delay is studied. It is assumed that the trivial solution of a system is asymptotically stable when delay is equal to zero. By the usage of the Lyapunov direct method and the Razumikhin approach, it is proved that the asymptotic stability of the zero solution of the system is preserved for an arbitrary continuous nonnegative and bounded delay. The conditions of stability of time-delay systems by homogeneous approximation are obtained. Furthermore, it is shown that the presented approaches permit to derive delay-independent stability conditions for some types of nonlinear systems with distributed delay. Two examples of nonlinear oscillatory systems are given to demonstrate the effectiveness of our results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 34, August 2014, Pages 43–50
نویسندگان
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