Results 11 to 20 of about 18,006 (243)

Null controllability for wave equations with memory

open access: yesJournal de Mathématiques Pures et Appliquées, 2017
We study the memory-type null controllability property for wave equations involving memory terms. The goal is not only to drive the displacement and the velocity (of the considered wave) to rest at some time-instant but also to require the memory term to vanish at the same time, ensuring that the whole process reaches the equilibrium.
Lü, Qi, Zhang, Xu, Zuazua, Enrique
openaire   +4 more sources

Null-control and measurable sets [PDF]

open access: yesESAIM: Control, Optimisation and Calculus of Variations, 2012
We prove the interior and boundary null-controllability of some parabolic evolutions with controls acting over measurable sets.
Apraiz, J., Escauriaza, L.
openaire   +2 more sources

Null controllability on Lie groups [PDF]

open access: yesProyecciones (Antofagasta), 2013
We prove an extension of a classical result for null controllability of linear control systems on Euclidean spaces, to linear control systems on a connected Lie group G, assumed to be simply connected and nilpotent.
Ayala, Víctor, Kizil, Eyüp
openaire   +3 more sources

Null-controllability of linear parabolic-transport systems [PDF]

open access: yesJournal de l’École polytechnique — Mathématiques, 2020
Over the past two decades, the controllability of several examples of parabolic-hyperbolic systems has been investigated. The present article is the beginning of an attempt to find a unified framework that encompasses and generalizes the previous results. We consider constant coefficients parabolic-transport systems with coupling of order zero and one,
Beauchard, Karine   +2 more
openaire   +4 more sources

Controllability Metrics on Networks with Linear Decision Process-type Interactions and Multiplicative Noise [PDF]

open access: yes, 2015
This paper aims at the study of controllability properties and induced controllability metrics on complex networks governed by a class of (discrete time) linear decision processes with mul-tiplicative noise.
Diallo, Tidiane, Goreac, Dan
core   +3 more sources

A hyperbolic system and the cost of null controllability for the Stokes system [PDF]

open access: yes, 2014
This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method we show that the cost of driving the Stokes system to rest at time T is of order e^C/T when T -->0^+,i.e., the same order as
Chaves-Silva, F. W.
core   +5 more sources

Unique continuation estimates for the Kolmogorov equation in the whole space [PDF]

open access: yes, 2015
We prove in this Note an observation estimate at one point in time for the Kolmogorov equation in the whole space. Such estimate implies the observability and the null controllability for the Kolmogorov equation with a control region which is ...
Zhang, Yubiao
core   +3 more sources

Controllability and null controllability of linear systems

open access: yesJournal of Applied Sciences and Environmental Management, 2006
This paper establishes sufficient conditions for the controllability and null controllability of linear systems. The aim is to use the variation of constant formula to deduce our controllability grammiam, by exploiting the properties of the grammiam and the asymptotic stability of the free system, we achieved our results.
I. Davies, P. Jackreece
openaire   +4 more sources

Fast global null controllability for a viscous Burgers' equation despite the presence of a boundary layer [PDF]

open access: yes, 2013
In this work, we are interested in the small time global null controllability for the viscous Burgers' equation y_t - y_xx + y y_x = u(t) on the line segment [0,1]. The second-hand side is a scalar control playing a role similar to that of a pressure. We
Marbach, Frédéric
core   +3 more sources

Internal controllability of the Korteweg-de Vries equation on a bounded domain [PDF]

open access: yes, 2014
This paper is concerned with the control properties of the Korteweg-de Vries (KdV) equation posed on a bounded interval with a distributed control. When the control region is an arbitrary open subdomain, we prove the null controllability of the KdV ...
Filho, Roberto Capistrano   +2 more
core   +6 more sources

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