Partial null controllability of parabolic linear systems
نویسندگان
چکیده
منابع مشابه
Partial null controllability of parabolic linear systems
This paper is devoted to the partial null controllability issue of parabolic linear systems with n equations. Given a bounded domain Ω in RN (N ∈ N∗), we study the effect of m localized controls in a nonempty open subset ω only controlling p components of the solution (p,m 6 n). The first main result of this paper is a necessary and sufficient condition when the coupling and control matrices ar...
متن کاملNull Controllability and Stabilization of Linear Systems
This paper generalizes our recent results on the null controllable regions and the stabilizability of exponentially unstable linear systems subject to symmetric actuator saturation. The description of the null controllable region carries smoothly from the symmetric case to the asymmetric case. As to stabilization, we have to take a quite di erent approach since the development of our earlier re...
متن کاملCarleman Estimates and Null Controllability of Degenerate/singular Parabolic Systems
We study null controllability properties for parabolic coupled systems with degeneracy and singularity occurring in the interior of the spatial domain. This article is the first to consider a problem with singular coupling terms; previous result cannot be adapted to this situation. In particular, we focus on the well posedness of the problem and then we prove Carleman estimates for the associat...
متن کاملNull–controllability of One–dimensional Parabolic Equations
We prove the interior null–controllability of one–dimensional parabolic equations with time independent measurable coefficients.
متن کاملNull Controllability Results for Degenerate Parabolic Equations
The null controllability of parabolic operators in bounded domains, with both boundary or locally distributed controls, is a well-established property, see, e.g., (Bensoussan et al., 1993) and (Fattorini, 1998). Such a property brakes down, however, for degenerate parabolic operators even when degeneracy occurs on ”small” subsets of the space domain, such as subsets of the boundary. This talk w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Control and Related Fields
سال: 2016
ISSN: 2156-8472
DOI: 10.3934/mcrf.2016001