Nonlinear Systems

Stability preservation conditions for a two-layered heat transfer object closed by feedback

E. M. Solnechnyi, L. A. Cheremushkina

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

Abstract: We find an estimate on the norm of the operator that describes the dynamics of a linear two-layered one-dimensional unilaterally bounded heat transfer object with nonperfect heat contact between the layers. Based on this estimate, we find a sufficient causality and stability condition for the closed system arising when the object is closed with feedback.

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

Received: 29.05.2012

 English version: Automation and Remote Control, 2015, 76:9, 1566–1581

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