This article is cited in 5 papers

Linear Systems

On stability conditions of a control system for a linear heat transfer object bounded from one side

E. M. Solnechnyi, L. A. Cheremushkina

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

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.

Presented by the member of Editorial Board: B. T. Polyak

Received: 22.06.2010

 English version: Automation and Remote Control, 2011, 72:4, 684–698

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