In this paper,we are devoted to the insensitizing controls for a semilinear heat equation.It is introduced that the background of this problem,the development process as well as the present situation.It is shown that the insensitivity conditions are equivalent to the null controllability problem of a cascade system.It is also accounted for that some people's work in recent years which involved the main results and the mathematical methods,especially for the existence of the insensitizing control functions.
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