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

92 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Carleman estimates for parabolic equations and applications (2009, methodology): “We also refer to [7] as a Carleman estimate with observation data of a limited number of components.”
Indirect controllability of some linear parabolic systems of m equations with m − 1 controls involving coupling terms of zero or first order (2016, background): “These results were then extended in [8], where a necessary and sufficient condition is given for constant coefficients but different diffusion coefficients di (the Laplace operator ∆ can also be replaced by some general time-independent elliptic operator).”
Controllability to trajectories for some parabolic systems of three and two equations by one control force (2013, background): “So we recover the condition obtained in [5].”
New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence (2016, background): “In [4], a necessary and sufficient condition for the approximate and null controllability at time T > 0 is established when A is a constant matrix.”
Boundary controllability of parabolic coupled equations (2010, background): “The most general results in this context seem to be those in [14], [3] and [4].”
RECENT RESULTS ON THE CONTROLLABILITY OF LINEAR COUPLED PARABOLIC PROBLEMS: A SURVEY (2011, background): “In [6] is proved the following result:”