Internal observability for coupled systems of linear partial differential equations

P Lissy, E Zuazua - SIAM Journal on Control and Optimization, 2019 - SIAM
We deal with the internal observability for some coupled systems of partial differential
equations with constant or time-dependent coupling terms by means of a reduced number of …

Internal controllability of first order quasi-linear hyperbolic systems with a reduced number of controls

F Alabau-Boussouira, JM Coron, G Olive - SIAM Journal on Control and …, 2017 - SIAM
In this paper we investigate the exact controllability of n*n first order one-dimensional quasi-
linear hyperbolic systems by m<n internal controls that are localized in space in some part of …

Boundary controllability of a cascade system coupling fourth-and second-order parabolic equations

N Carreño, E Cerpa, A Mercado - Systems & Control Letters, 2019 - Elsevier
A control system coupling fourth-and second-order parabolic equations is considered in this
paper. The main topic is the study of the control properties of this system when we only …

Internal controllability for parabolic systems involving analytic non-local terms

P Lissy, E Zuazua - Chinese Annals of Mathematics, Series B, 2018 - Springer
This paper deals with the problem of internal controllability of a system of heat equations
posed on a bounded domain with Dirichlet boundary conditions and perturbed with analytic …

Null Controllability for cascade systems of coupled backward stochastic parabolic equations with one distributed control

S Boulite, A Elgrou, L Maniar - arxiv preprint arxiv:2411.09079, 2024 - arxiv.org
We prove the null controllability of a cascade system of\(n\) coupled backward stochastic
parabolic equations involving both reaction and convection terms, as well as general …

Controllability of a 2× 2 parabolic system by one force with space-dependent coupling term of order one

M Duprez - ESAIM: Control, Optimisation and Calculus of …, 2017 - esaim-cocv.org
This paper is devoted to the controllability of linear systems of two coupled parabolic
equations when the coupling involves a space dependent first order term. This system is set …

Positive and negative results on the internal controllability of parabolic equations coupled by zero-and first-order terms

M Duprez, P Lissy - Journal of Evolution Equations, 2018 - Springer
This paper is devoted to studying the null and approximate controllability of two linear
coupled parabolic equations posed on a smooth domain Ω Ω of R^ N RN (N\geqslant 1 N⩾ …

A Kalman rank condition for the indirect controllability of coupled systems of linear operator groups

T Liard, P Lissy - Mathematics of Control, Signals, and Systems, 2017 - Springer
In this article, we give a necessary and sufficient condition of Kalman type for the indirect
controllability of systems of groups of linear operators, under some “regularity and locality” …

Null controllability for stochastic coupled systems of fourth order parabolic equations

Y Wang - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
This paper aims to establish null controllability for systems coupled by two backward fourth
order stochastic parabolic equations. The main goal is to control both equations with only …

Control of three heat equations coupled with two cubic nonlinearities

JM Coron, JP Guilleron - SIAM Journal on Control and Optimization, 2017 - SIAM
We study the null controllability of three parabolic equations. The control is acting only on
one of the three equations. The three equations are coupled by means of two cubic …