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Set-Valued Derivative (Contingent Derivative)

Submitted by admin_viabilityT on

Definition:

This is a local indicator that assesses whether the system's dynamics are compatible with the constraints at a given time.

Simplified formula:

$$
F(x) \cap T_K(x) \neq \emptyset
$$
 

with TK(x) =  tangent cone to the set of constraints K at x, and F(x) = system dynamics.

Usefulness:

If the intersection is empty, then the state is not viable in the short term.