An example of \(\varepsilon\)-insensitizing controls for the heat equation with no intersecting observation and control regions. (Q1767148)

The paper is devoted to the \(\varepsilon\)-insensitizing control problem for the 1-D heat equation with disjoint control and observation regions. It is mentioned that the problem is equivalent to an approximate controllability problem for a cascade linear system. With the help of the Fourier decomposition of the solutions of a special cascade systems, existence of an element \(\varepsilon\)-insensitizing a special form quadratic functional is established.