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Matematicheskie Zametki, 2024, Volume 116, Issue 3, paper published in the English version journal (Mi mzm13714)  

Papers published in the English version of the journal

An exponential observer controller for nonlinear time-varying impulsive systems

I. Ellouze

Faculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Tunisia
Abstract: In this paper, we deal with the problem of exponential observer controller design for a class of nonlinear time-varying impulsive systems. We show that, under the classical conditions of uniform complete controllability and uniform complete observability, it is possible to design a novel observer-based control scheme for the nonlinear time-varying impulsive system.
Keywords: nonlinear time-varying impulsive systems, exponential observer, observer-based control, Riccati equation.
Received: 05.09.2022
Revised: 23.04.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 3, Pages 554–560
DOI: https://doi.org/10.1134/S0001434624090141
Document Type: Article
MSC: 34H05; 34D10
Language: English
Citation: I. Ellouze, “An exponential observer controller for nonlinear time-varying impulsive systems”, Math. Notes, 116:3 (2024), 554–560
Citation in format AMSBIB
\Bibitem{Ell24}
\by I.~Ellouze
\paper An exponential observer controller for nonlinear time-varying impulsive systems
\jour Math. Notes
\yr 2024
\vol 116
\issue 3
\pages 554--560
\mathnet{http://mi.mathnet.ru/mzm13714}
\crossref{https://doi.org/10.1134/S0001434624090141}
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