Abstract
Using the Efros' theorem from the theory of functions of a complex variable, we derive bounds on the norms of operators that describe the dynamics of linear distributed heat transfer objects and objects with similar dynamic properties. These results are applied to studying stability conditions for single- and double-layered one-dimensional heat transfer objects bounded from one side. For each of the studied objects, results of previous works imply a sufficient stability condition for a closed control system that consists of the object and its feedback.
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