کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1713784 1013250 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hybrid systems in linear spaces: Attracting sets and periodicity
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Hybrid systems in linear spaces: Attracting sets and periodicity
چکیده انگلیسی

Consider an asymptotically stable linear semigroup SS of class C0C0, acting on a Banach space XX. By shifting the action of SS we obtain an affine semigroup with an arbitrary point p∈Xp∈X as a sink. Selecting a specific set PP of sinks and combining the action of the corresponding semigroups gives rise to a multimodal control system which, after constraining the action of each mode, becomes a hybrid system with switching. We prove the existence of a globally attracting compact set and describe its structure. In the case of the constrained system we use this structure to prove the convergence of ergodic averages–such as the average time between switches–for a certain generic set of solutions. Next we turn to the bimodal case, typical of thermostatic control. We review a series of results where the existence of a periodic solution (with two periodic switches) has been shown. On the other hand, we announce a finite-dimensional example where no such solution exists.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Hybrid Systems - Volume 1, Issue 2, June 2007, Pages 198–211
نویسندگان
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