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arXiv · 2001.08318

Consistent Discretization of a Class of Predefined-Time Stable Systems

Esteban Jiménez-Rodríguez·Rodrigo Aldana-López·Juan D. Sánchez-Torres·David Gómez-Gutiérrez·Alexander G. Loukianov
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Abstract

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.

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Esteban Jiménez-Rodríguez, Rodrigo Aldana-López, Juan D. Sánchez-Torres, David Gómez-Gutiérrez, Alexander G. Loukianov. 2020-01-23. Consistent Discretization of a Class of Predefined-Time Stable Systems. https://arxiv.org/abs/2001.08318

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