Work

LMI‐Based Finite‐Time Stability Analysis of Homogeneous Systems With Sector Nonlinearities and Its Applications to Multi‐Agent Control and Observation

Year: 2026

Type: article

Abstract: ABSTRACT The problem of finite‐time stability analysis for a class of homogeneous systems with sector nonlinearities is addressed. The proposed method broadens the class of admissible systems and simplify the applicability conditions compared to existing approaches. A key advantage is the introduction of a unified framework for stability analysis in various homogeneity‐based applications with sector nonlinearities. Its efficacy is demonstrated by deriving stability conditions for homogeneous observers and designing finite‐time control protocols for second‐order multi‐agent systems, solving the uniform allocation and average consensus problems.

Source: International Journal of Robust and Nonlinear Control

DOI: 10.1002/rnc.70459

Authors: Daria Galkina, Konstantin Zimenko, Denis Efimov, Andrey Polyakov

Institutions: ITMO University, Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Université de Lille, Centre de Recherche en Informatique, Signal et Automatique de Lille

Language: English

Topic: Distributed Control Multi-Agent Systems

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

OpenAlex ID: W7134247241

FWCI: 4.17

Cites: 31

Cited by: 1

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