Di, Y.; Zhang, J.-X.; Zhang, X. Alternate Admissibility LMI Criteria for Descriptor Fractional Order Systems with 0 < α < 2. Fractal Fract.2023, 7, 577.
Di, Y.; Zhang, J.-X.; Zhang, X. Alternate Admissibility LMI Criteria for Descriptor Fractional Order Systems with 0 < α < 2. Fractal Fract. 2023, 7, 577.
Di, Y.; Zhang, J.-X.; Zhang, X. Alternate Admissibility LMI Criteria for Descriptor Fractional Order Systems with 0 < α < 2. Fractal Fract.2023, 7, 577.
Di, Y.; Zhang, J.-X.; Zhang, X. Alternate Admissibility LMI Criteria for Descriptor Fractional Order Systems with 0 < α < 2. Fractal Fract. 2023, 7, 577.
Abstract
The paper focuses on the admissibility problem of descriptor fractional-order systems (DFOSs). The alternate admissibility criteria are addressed for DFOSs with order in (0,2) which involve a non-strict linear matrix inequality (LMI) method and a strict LMI method, respectively. The forms of non-strict and strict LMIs are brand-new and distinguished with the existing literature, which fill the gaps of studies for admissibility. These approaches are available to the order in (0,2) without separating the order ranges into (0,1) and [1,2). In addition, a method involved least real decision variables in terms of strict LMIs is derived which is more convenient to process the practical solution. Three numerical examples are given to illustrate the validity of proposed results.
Keywords
descriptor fractional order systems; admissibility; unified criterion; linear matrix inequality
Subject
Engineering, Automotive Engineering
Copyright:
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