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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2024 Volume 116, Issue 3, Pages 554–560 (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.

MSC: 34H05; 34D10

Received: 05.09.2022
Revised: 23.04.2024

Language: English


 English version:
Mathematical Notes, 2024, 116:3, 554–560

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© Steklov Math. Inst. of RAS, 2025