This article is cited in 1 paper

Analysis and Synthesis of Control Systems

Investigation of causality and stability conditions of a linear heat-conductivity object control system (special cases). Part I

E. M. Solnechnyi, L. A. Cheryomushkina

V.A. Trapeznikov ICS of RAS

Abstract: We obtain the estimates of the norms of the boundary influences-to-temperature operators for two special cases of boundary conditions for the stable one-dimensional finite-length object of heat conductivity. These estimates are used to find the sufficient condition of causality and stability for the non-linear feedback control system.

Keywords: closed-loop system, causality, stability, distributed dynamic systems, a linear heat conduction object, complex variable theory.

UDC: 517.958
BBK: 22.161.5