Quadratic Admissibility for a Class of LTI Uncertain Singular Fractional-Order Systems with 0 < α < 2
نویسندگان
چکیده
This paper provides a unified framework for the admissibility of class singular fractional-order systems with given fractional order in interval (0, 2). These necessary and sufficient conditions are derived terms linear matrix inequalities (LMIs). The considered orders range from 0 to 2 without separating ranges into 1) [1, 2) discuss admissibility. Moreover, uncertain system is norm-bounded. quadratic general stability analyzed, equivalence between two proved. All above can be expressed strict LMIs avoid any singularity problem solution. Finally, effectiveness method illustrated by three numerical examples.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2022
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7010001