8. Affine problems in the order

8.1 Frame: final cost and optimum time

Consider problems with final cost, scalar control, and dynamics of the form f (u, y) = f ₀ (y) + uf ₁ (y), where f ₀ and f ₁ are two vector fields (applications of $ℝ^{n}$ within itself), with fixed initial state. The equation of state is

\dot{y} (t) = f_{0} (

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Affine problems in the order

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Bibliography

(1) - ARONNA (M.S.), BONNANS (J.F.), MARTINON (P.) - A shooting algorithm for optimal control problems with singular arcs - J. Optim. Theory Appl., 158 (2) : 419-459 (2013).
(2) - BARDI (M.), CAPUZZO-DOLCETTA (I.) - Optimal control and viscosity solutions...

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