کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4612654 1338700 2006 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Conservative boundary control systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Conservative boundary control systems
چکیده انگلیسی

We study continuous time linear dynamical systems of boundary control/observation type, satisfying a Green–Lagrange identity. Particular attention is paid to systems which have a well-defined dynamics both in the forward and the backward time directions. As we change the direction of time we also interchange inputs and outputs. We show that such a boundary control/observation system gives rise to a continuous time Livšic–Brodskiĭ (system) node with strictly unbounded control and observation operators. The converse is also true. We illustrate the theory by a classical example, namely, the wave equation describing the reflecting mirror.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 231, Issue 1, 1 December 2006, Pages 290-312