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Independent of delay stabilization using implicit Lyapunov function method

Abstract : Nonlinear implicit Lyapunov function based control algorithms with delay in control and/or measurement channel are presented. The proposed control algorithms provide global asymptotic stability for all delays less than a certain threshold value and global asymptotic stability with respect to a compact set containing the origin for any delay over the threshold value. The algorithms are also applicable for the fast-varying delay and sampled-data cases. The theoretical results are supported by numerical simulations and comparison.
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Submitted on : Wednesday, December 18, 2019 - 9:57:15 PM
Last modification on : Thursday, March 24, 2022 - 3:42:57 AM
Long-term archiving on: : Thursday, March 19, 2020 - 10:10:58 PM

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Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev. Independent of delay stabilization using implicit Lyapunov function method. Automatica, Elsevier, 2019, 101, pp.103-110. ⟨10.1016/j.automatica.2018.11.051⟩. ⟨hal-02418531⟩

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