کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841082 908499 2012 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems
چکیده انگلیسی

We develop a method to numerically analyse asymptotically autonomous systems of the form ẋ=f(t,x), where f(t,x)f(t,x) tends to g(x)g(x) as t→∞t→∞. The rate of convergence is not limited to exponential, but may be polynomial, logarithmic or any other rate. For these systems, we propose a transformation of the infinite time interval to a finite, compact one, which reflects the rate of convergence of ff to gg. In the transformed system, the origin is an asymptotically stable equilibrium, which is exponentially stable in xx-direction. We consider a Lyapunov function in this transformed system as a solution of a suitable linear first-order partial differential equation and approximate it using Radial Basis Functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 5, March 2012, Pages 2823–2840
نویسندگان
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