When in the differential equation describing the behaviour of a dynamical system the time derivative of the input is involved, a naive realization may mislead the application of the Pontryagin Maximum Principle for the solution of optimal control problems. We show that a suitable procedure to eliminate the time derivative of the input leads to a realization that provides more information on the existence and on the form of the solution.

A Note on the Realization of Nonlinear ODEs in Optimal Control Problems

Casagrande D.;Abdalla H. M. A.;
2023-01-01

Abstract

When in the differential equation describing the behaviour of a dynamical system the time derivative of the input is involved, a naive realization may mislead the application of the Pontryagin Maximum Principle for the solution of optimal control problems. We show that a suitable procedure to eliminate the time derivative of the input leads to a realization that provides more information on the existence and on the form of the solution.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1268584
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