Abstract
A new method for proving necessary and sufficient conditions for the global asymptotic stability of the “super-twisting” algorithm is given. The new method is based on obtaining a complete analytical solution of the system for the “worst-case” perturbation and permits one to obtain a criterion in a simpler, completely real form as well as to find estimates for the worst-case (majorizing) trajectory.
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Funding
This work was supported by the Russian Science Foundation, project no. 22-21-00288.
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Translated by V. Potapchouck
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Fomichev, V.V., Vysotskii, A.O. Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm. Diff Equat 59, 260–264 (2023). https://doi.org/10.1134/S001226612302009X
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DOI: https://doi.org/10.1134/S001226612302009X