کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
756506 896182 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the reachable set for third-order linear discrete-time systems with positive control
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
On the reachable set for third-order linear discrete-time systems with positive control
چکیده انگلیسی
In this paper we study the geometrical properties of the set of reachable states of a single-input third-order discrete-time linear system with positive controls. This set is a cone and we give a complete geometrical characterization of this set when the system has all real eigenvalues. More in detail, we give necessary and sufficient conditions for properness and polyhedrality of the cone and provide the number of its edges in terms of eigenvalue locations. Moreover, we provide necessary and sufficient conditions for finite time reachability of every reachable state and characterize the minimum number of steps needed to reach every state in terms of eigenvalue locations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 60, Issue 9, September 2011, Pages 690-698
نویسندگان
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