Stability Criteria for Nonlinear Differential-Integral Systems Arising from Nuclear Reactor Dynamics

Nonlinear stability analysis has been performed for differential integral equations describing nuclear reactor dynamics. New stability criteria in bounded domains of initial perturbations have been established for a large class of reactor models with both linear and nonlinear reactivity feedbacks. Also, relationships have been studied between the magnitude of perturbed trajectories and that of initial perturbations. The theoretical results obtained have been illustrated with examples of selected reactor models.