On the Asymptotic Stability of Reactors with Arbitrary Feedback
- 1 January 1970
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (1) , 155-162
- https://doi.org/10.1063/1.1665041
Abstract
A theorem for the boundedness and asymptotic stability of a point reactor with an arbitrary feedback is stated and proved. The criteria obtained are shown to be essentially the same as those given by Akcasu and Dolfes. The theorem is applied to a reactor with an arbitrary linear feedback and to a xenon‐controlled reactor with a flux reactivity coefficient whose feedback mechanism involves quadratic non‐linearity. It is also compared to a criterion obtained by Corduneanu in the case when delayed neutrons are ignored and the feedback mechanism is linearKeywords
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