Work

Novel criteria for attractivity and stability of non-autonomous nonlinear dynamical systems

Year: 2025

Type: article

Abstract: In this paper, issues of both attractivity and stability for some classes of nonlinear systems are investigated. New sufficient conditions for practical h-stability of non-autonomous nonlinear systems depending on a parameter are proposed by indefinite Lyapunov functions. We present new converse Lyapunov theorems for non-autonomous systems. The h-stability analysis is achieved with the help of scalar practical h-stable functions. These results are used to study the uniform practical h-stability of non-autonomous perturbed systems.

Source: Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science

DOI: 10.59277/pra-ser.a.26.2.04

Authors: Hanen DAMAK, Nizar HADJTAIEB, Mohamed Ali HAMMAMI

Institutions: University of Monastir, Institut Supérieur d'Informatique de Mahdia, University of Sfax, Institut préparatoire aux études d'ingénieurs de Sfax, Faculty of Sciences of Sfax

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4414515872

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Cites: 27

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