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

Ordinary Differential Equations

A. T. Lonseth, E. L. Ince · National Mathematics Magazine · 1945 · 3.2K citations

Natural Sciences, Mathematics, Differential Equations +6

The cost of approximate controllability for heat equations: the linear case

Enrique Fernández‐Cara, Enrique Zuazua · Advances in Differential Equations · 2000 · 282 citations · Full text

Natural Sciences, Mechanical Engineering, Cost-minimization Analysis +14

Carleman Inequalities for Parabolic Equations in Sobolev Spaces of Negative Order and Exact Controllability for Semilinear Parabolic Equations

O. Imanuvilov, Masahiro Yamamoto · Publications of the Research Institute for Mathematical Sciences · 2003 · 158 citations

Natural Sciences, Industrial Engineering, Dynamical Systems +11

Insensitizing controls for a semilinear heat equation

Luz de Teresa · Communications in Partial Differential Equations · 2000 · 141 citations

Natural Sciences, Mathematics, Differential Equations +15

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

Manuel González-Burgos, Luz de Teresa · Portugaliae Mathematica · 2010 · 104 citations · Full text

Natural Sciences, Mathematics, Complex Systems +15