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On analysis of Persidskii systems and their implementations using LMIs

Denis Efimov 1 Alexander Aleksandrov 2 
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The conditions of (integral) input-to-state stability and input-output-to-state stability are established for a class of generalized Persidskii systems. The proposed conditions are formulated using linear matrix inequalities. Based on these results the conditions of convergence are derived for discretizations of this class of models obtained by the explicit and the implicit Euler methods. The proposed theory is finally applied to design a robust stabilization control.
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Submitted on : Monday, July 19, 2021 - 10:14:20 PM
Last modification on : Friday, April 1, 2022 - 3:52:31 AM
Long-term archiving on: : Wednesday, October 20, 2021 - 7:39:22 PM


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  • HAL Id : hal-03291855, version 1


Denis Efimov, Alexander Aleksandrov. On analysis of Persidskii systems and their implementations using LMIs. Automatica, Elsevier, In press. ⟨hal-03291855⟩



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