کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
756691 | 896210 | 2007 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Estimating the domain of attraction via union of continuous families of Lyapunov estimates
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Estimating the domain of attraction via union of continuous families of Lyapunov estimates Estimating the domain of attraction via union of continuous families of Lyapunov estimates](/preview/png/756691.png)
چکیده انگلیسی
This paper proposes a new approach to estimate the domain of attraction of equilibrium points of polynomial systems. The idea consists of estimating the domain of attraction via the union of a continuous family of Lyapunov estimates rather than via one Lyapunov estimate only as done in existing methods. This family is obtained through a convex LMI optimization by deriving a stability condition which takes simultaneously into account all considered Lyapunov functions. Moreover, inner approximations of the union of this family via a set with simple shape are also derived.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 56, Issue 4, April 2007, Pages 326–333
Journal: Systems & Control Letters - Volume 56, Issue 4, April 2007, Pages 326–333
نویسندگان
Graziano Chesi,