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