Abstract
The main features of the optimal control problems considered here are: (1) the initial time is zero; (2) the performance index is not of a purely integral type, that is it always includes a function of the final event; (3) the initial state is given; (4) only simple constraints act on the system, namely we only require that (a) the final state is free or belongs to a regular variety, (b) the final time is either free or given, (c) the control variable is free or takes on values in a closed subset of the real numbers. In the considered problems we have the final time given or free.
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Locatelli, A. (2017). Simple Constraints: \(J=\int +{m},\, x(t_0)=\,\mathrm {Given},\, x(t_f)=\mathrm {Not\,Given}\) . In: Optimal Control of a Double Integrator. Studies in Systems, Decision and Control, vol 68. Springer, Cham. https://doi.org/10.1007/978-3-319-42126-1_5
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DOI: https://doi.org/10.1007/978-3-319-42126-1_5
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-42126-1
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