Boundedness and Stability in Nonlinear Reactor Dynamics

Elias P. Gyftopoulos; Jacques Devooght

doi:dx.doi.org/10.13182/NSE60-A25762

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 7 / Number 6

Boundedness and Stability in Nonlinear Reactor Dynamics

Elias P. Gyftopoulos, Jacques Devooght

Nuclear Science and Engineering / Volume 7 / Number 6 / June 1960 / Pages 533-540

Technical Paper / dx.doi.org/10.13182/NSE60-A25762

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A novel formulation of the problem of boundedness and stability of the power level of a nuclear reactor describable by a nonlinear model is presented. A sufficient criterion for boundedness and stability is derived and proved to be equivalent to the criterion suggested by Welton. The criterion is illustrated by means of two examples.