Consistent Discretization of a Class of Predefined-Time Stable Systems

23 Jan 2020  ·  Jiménez-Rodríguez Esteban, Aldana-López Rodrigo, Sánchez-Torres Juan D., Gómez-Gutiérrez David, Loukianov Alexander G. ·

As the main contribution, this document provides a consistent discretization of a class of fixed-time stable systems, namely predefined-time stable systems. In the unperturbed case, the proposed approach allows obtaining not only a consistent but exact discretization of the considered class of predefined-time stable systems, whereas in the perturbed case, the consistent discretization preserves the predefined-time stability property... All the results are validated through simulations and compared with the conventional explicit Euler scheme, highlighting the advantages of this proposal. read more

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Optimization and Control Systems and Control Systems and Control