Distinctive LMI Formulations for Admissibility and Stabilization Algorithms of Singular Fractional-Order Systems with Order Less than One

Distinctive LMI Formulations for Admissibility and Stabilization Algorithms of Singular Fractional-Order Systems with Order Less than One

This paper presents three novel sufficient and necessary conditions for the admissibility of singular fractional-order systems (FOSs), a stabilization criterion, and a solution algorithm. The strict linear matrix inequality (LMI) stability criterion for integer-order systems is generalized to singul...

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Bibliographic Details
Main Authors: Xinhai Wang, Xuefeng Zhang, Qing-Guo Wang, Driss Boutat
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Fractal and Fractional
Subjects:
singular fractional-order systems
admissibility criteria
branch-and-bound algorithm
full-column rank matrix
strict LMI
Online Access:https://www.mdpi.com/2504-3110/9/7/470
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