Liapunov’s Direct Method

Until further notice we use stable for what is technically called asymptotically stable in the sense of Lyapunov see, e.g., J. La Salle and S. Lefshetz, Stability by Liapunov s Direct Method (Academic Press, New York 1961). 

Hahn, W., Theory and Application of Liapunov s Direct Method, Englewood Cliffs, NJ Prentice-Hall, 1963. Harris, J. W., and Stocker, H., Handbook of Mathematics and Computational Science, Berlin, Springer-Verlag,... 

HI. Hahn, W., Theory and Application of Liapunov s Direct Method. Prentice-Hall, Englewood Cliffs, New Jersey, 1963. 

Other stability analysis techniques are discussed by Ramirez and Turner (1969). They include the eigenvalues of a linear analysis which give results that only apply to a small region about a steady-state value, and Liapunov s direct method via Kravoskii s theorem which accurately predicted regions of stability with and without feedback control for this nonlinear problem. 

F. Kappel and F. DiPasquantonio, The Derivation of a Stability Criterion for the Kinetic Reactor Equations by Liapunov s Direct Method. Preprint 1971. 

Direct Method of Liapunov. The direct method of Liapunov was encountered in the previous section in a discussion of the fluctuations in temperatures and concentrations of non-steady combustion in closed systems. The introduction of such methods to open systems occurred much earlier in the papers of Warden, Aris, and Amundson ° on the CSTR. A detailed discussion of this and of subsequent work is to be found in Perlmutter s book. ... 

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See also in sourсe #XX -- [ ]

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