8. Lyapunov function and stabilization

8.1 Basic example

Consider the following nonlinear oscillator:

\frac{d^{2}}{d t^{2}} z + k \frac{d}{d t} z + g (z) = 0

with :

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Lyapunov function and stabilization

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(1) - ABRAHAM (R.H.), SHAW (C.D.) - Dynamics – The Geometry of Behavior : I-IV. - Aerial Press, Santa Cruz, California (1981).
(2) - ABRAMOWITZ (M.), STEGUN (I.A.) - Handbook of Mathematical Functions. - Dover, New...

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