Mathematical Control Theory

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

È. M. Solnechnyi, L. A. Cheryomushkina

Institute of Control Sciences of RAS

Abstract: For a special sort of boundary conditions of stable one-dimensional finite-length object of heat conductivity estimates are derived of norms of the operators translating boundary influences into the object temperature. These estimates are used for finding a sufficient condition of causality and stability for the system consisting of the object and the nonlinear feedback.

Keywords: system with feedback, causality, stability, distributed dynamic system, linear heat conduction object, complex-variable functions theory.

UDC: 517.958
BBK: 22.161.5