Boundary controllability of parabolic coupled equations

111 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.

RECENT RESULTS ON THE CONTROLLABILITY OF LINEAR COUPLED PARABOLIC PROBLEMS: A SURVEY (2011, background): “In the remainder of this section we will only focus on the boundary controllability results in the one-dimensional case established in [32] and [7].”
Minimal time for the null controllability of parabolic systems: The effect of the condensation index of complex sequences (2014, background): “The proof of this result is implicitly given in [12], (see the proof of Proposition 3.”
Controllability results for cascade systems of m coupled parabolic PDEs by one control force (2010, unknown): “Never-theless, there exist negative results for some 1-d cascade linear coupled parabolic systems with m ¼ 2 (cf. [7]), which reveals the di¤erent nature of the controllability properties for a single heat equation and for coupled parabolic systems.”
The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials (2011, background): “This work is an extension of both [5] and [14].”