کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639392 1632046 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability property and essential spectrum of linear retarded functional differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stability property and essential spectrum of linear retarded functional differential equations
چکیده انگلیسی
In this work, we shall study stability and stabilization of a class of retarded functional differential equations in Banach spaces. We present sufficient (and necessary, sometimes) conditions for weak, asymptotic and exponential stability properties. It is shown that retarded growth bounds are totally determined by retarded non-isolated spectra, isolated eigenvalues with infinite algebraic multiplicity and spectral bounds. Stabilization problem via compact perturbations, a topic which is practically useful in the context of control theory of dynamical systems, is considered as well.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 244, 15 May 2013, Pages 19-35
نویسندگان
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