Stability Analysis of Reactor Systems Via Lyapunov’s Second Method

[+] Author and Article Information
C. Hsu

Reactor Engineering Division, Argonne National Laboratory, Lemont, Ill.

J. Basic Eng 89(2), 307-310 (Jun 01, 1967) (4 pages) doi:10.1115/1.3609600 History: Received August 03, 1966; Online November 03, 2011


This paper develops a technique for finding Lyapunov functions for the class of nonlinear partial differential equations arising from a reactor system which takes into account the coupling of heat transfer, hydrodynamics, and time-dependent neutron diffusion. As a first step, a generalized Lyapunov function was developed for the linearized reactor system. The result provides the sufficient conditions to system stability (and/or asymptotical stability) with respect to the distributed system parameters. A new Lyapunov function for the nonlinear reactor system was constructed by adding nonlinear terms to that of the linear system. The result enables one to determine the region of stability and indicates the proper feedback function which would insure the global stability of the system.

Copyright © 1967 by ASME
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In