کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
752665 895452 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Conditions for global stability of monotone tridiagonal systems with negative feedback
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Conditions for global stability of monotone tridiagonal systems with negative feedback
چکیده انگلیسی

This paper studies monotone tridiagonal systems with negative feedback. These systems possess the Poincaré–Bendixson property, which implies that, if orbits are bounded, if there is a unique steady state and this unique steady state is asymptotically stable, and if one can rule out periodic orbits, then the steady state is globally asymptotically stable. Two different approaches are discussed to rule out period orbits, one based on direct linearization and another one based on the theory of second additive compound matrices. Among the examples that illustrate the theoretical results is the classical Goldbeter model of the circadian rhythm.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 59, Issue 2, February 2010, Pages 130–138
نویسندگان
, , ,