کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4628863 | 1340568 | 2013 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems](/preview/png/4628863.png)
چکیده انگلیسی
This paper investigates self-maps T : X â X which satisfy a distance constraint in a metric space with mixed point-dependent non-expansive properties or, in particular, contractive ones, and potentially expansive properties related to some distance threshold. The above mentioned constraint is feasible in certain real-world problems of usefulness, for instance, when discussing ultimate boundedness in dynamic systems which guarantees Lyapunov stability. This fact makes the proposed analysis to be potentially useful to investigate global stability properties in dynamic systems in the potential presence of some locally unstable equilibrium points. The results can be applied to stability problems of dynamics systems and circuit theory as the given examples suggest.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 22, 15 July 2013, Pages 10655-10667
Journal: Applied Mathematics and Computation - Volume 219, Issue 22, 15 July 2013, Pages 10655-10667
نویسندگان
M. De la Sen, A. Ibeas,