3. First variation and sensitivity study

Let's take the open loop (see note) $\frac{d}{d t} x = f (x, u, w)$ and assume that f is derivable with respect to its variables. Let f be a trajectory (for example, a solution) of the system $t \mapsto (\bar{x} (t), \bar{u} (t), \overset{}{w}$

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First variation and sensitivity study

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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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