کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1713928 1013257 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A semi-algebraic approach for asymptotic stability analysis
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
A semi-algebraic approach for asymptotic stability analysis
چکیده انگلیسی
This paper deals with the problem of computing Lyapunov functions for asymptotic stability analysis of autonomous polynomial systems of differential equations. We propose a new semi-algebraic approach by making advantage of the local property of the Lyapunov function as well as its derivative. This is done by first constructing a semi-algebraic system and then solving this semi-algebraic system in an adaptive way. Experiment results show that our semi-algebraic approach is more efficient in practice, especially for low-order systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Hybrid Systems - Volume 3, Issue 4, November 2009, Pages 588-596
نویسندگان
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