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

Internal Controllability of First Order Quasi-linear Hyperbolic Systems with a Reduced Number of Controls

(2017) Fatiha Alabau-Boussouira et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Control of Three Heat Equations Coupled with Two Cubic Nonlinearities

(2017) Jean-Michel Coron et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Indirect controllability of some linear parabolic systems of m equations with m − 1 controls involving coupling terms of zero or first order

(2016) Michel Duprez et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Minimal time of controllability of two parabolic equations with disjoint control and coupling domains

(2014) Farid Ammar Khodja et al.   COMPTES RENDUS MATHEMATIQUE

Local null controllability of the three-dimensional Navier–Stokes system with a distributed control having two vanishing components

(2014) Jean-Michel Coron et al.   INVENTIONES MATHEMATICAE

Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients

(2014) Franck Boyer et al.   Mathematical Control and Related Fields

Boundary approximate controllability of some linear parabolic systems

(2014) Guillaume Olive   Evolution Equations and Control Theory

Controllability to trajectories for some parabolic systems of three and two equations by one control force

(2013) Assia Benabdallah et al.   Mathematical Control and Related Fields

Indirect controllability of locally coupled wave-type systems and applications

(2012) Fatiha Alabau-Boussouira et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Exact controllability of a cascade system of conservative equations

(2011) Lionel Rosier et al.   COMPTES RENDUS MATHEMATIQUE

Recent results on the controllability of linear coupled parabolic problems: A survey

(2011) Farid Ammar-Khodja et al.   Mathematical Control and Related Fields

Controllability results for cascade systems of m coupled parabolic PDEs by one control force

(2010) Manuel González-Burgos et al.   Portugaliae Mathematica

A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems

(2009) Farid Ammar-Khodja et al.   JOURNAL OF EVOLUTION EQUATIONS