A.S. Bortakovskii. Sufficient optimality conditions for hybrid systems of variable dimension with intermediate constraints ... P. 50-67

An optimal control problem is considered for a hybrid system in which continuous motion alternates with discrete changes (switchings) of the state space and control space. The switching times are determined as a result of minimizing a functional that takes into account the costs of each switching. Sufficient conditions for the optimality of such systems under additional constraints at the switching times are obtained. The application of the optimality conditions is demonstrated using academic examples.

Keywords: hybrid systems, variable dimension, optimal control

Received February 20, 2024

Revised March 18, 2024

Accepted March 25, 2024

Alexandr Sergeevich Bortakovskii, Dr. Phys.-Math. Sci., Prof., Moscow Aviation Institute (National Research University); Prof., National University of Science and Technology MISIS, Moscow, Russia, e-mail: asbortakov@mail.ru

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Cite this article as: A.S. Bortakovskii. Sufficient optimality conditions for hybrid systems of variable dimension with intermediate constraints. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2024, vol. 30, no. 2, pp. 50–67.