Stability Analysis for Integro-Differential Coupled-Core Reactor Models

Asymptotic stability of a general form of coupled-core reactor models is discussed. The method presented is based on the concept of stability introduced by Driver for integro-differential equations. A Liapunov functional is applied to the investigation of asymptotic stability “in the small.” Next, conditions for global asymptotic stability are established using a modified form of the previously given functional. As an illustration of the general results, an example is discussed in more detail.