Distinctive LMI Formulations for Admissibility and Stabilization Algorithms of Singular Fractional-Order Systems with Order Less than One
Year: 2025
Type: article
Abstract: In this paper, the stability and stabilization problems of singular fractional order systems (FOSs) with order α∈(0,1) are investigated. Firstly, admissibility criteria for singular FOSs are proposed by introducing full-column rank matrices. Next, the admissibility criterion using only one (linear matrix inequality) LMI variable is presented. A branch-and-bound algorithm (BBA) is designed to solve the bilinear constraints appearing in the stabilization criterion. Finally, the validity of the given results is verified by numerical simulations.
Source: Fractal and Fractional
Institutions: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Beijing Normal-Hong Kong Baptist University, Beijing Normal University, Beijing Normal University, Zhuhai, Université d'Orléans, Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique, Institut National des Sciences Appliquées Centre Val de Loire
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,258
OpenAlex ID: W4412514600