We consider a hybrid control system and general optimal control problems for this system. We suppose that the switching strategy imposes restrictions on control sets and we provide necessary conditions for an optimal hybrid trajectory, stating a hybrid necessary principle (HNP). Our result generalizes various necessary principles available in the literature.
Garavello, M., Piccoli, B. (2005). Hybrid necessary principle. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 43(5), 1867-1887 [10.1137/S0363012903416219].
Hybrid necessary principle
GARAVELLO, MAURO;
2005
Abstract
We consider a hybrid control system and general optimal control problems for this system. We suppose that the switching strategy imposes restrictions on control sets and we provide necessary conditions for an optimal hybrid trajectory, stating a hybrid necessary principle (HNP). Our result generalizes various necessary principles available in the literature.
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