Abstract

The non-linear stability of a nuclear reactor system with two-temperature feedback has been analysed. Using Welton's criterion as well as Liapounov's second method, it has been shown that if the delayed temperature coefficient lies between certain limits of opposite signs, the system will be globally and asymptotically stable. It has also been proved that the region of global stability in the parametric plane of temperature coefficient of reactivity, obtained from Welton's criterion, contains that obtained from Liapounov's second method with a Liapounov function used in this work.

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