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• W3134650622 abstract "This paper studies the robust stability of the fractional-order (FO) LTI systems with polytopic uncertainty. Generally, the characteristic polynomial of the system dynamic matrix is not an affine function of the uncertain parameters. Consequently, the robust stability of the uncertain system cannot be evaluated by well-known approaches including LMIs or exposed edges theorem. Here, an over-parameterization technique is developed to convert the main characteristic polynomial into a set of local over-parameterized characteristic polynomials (LOPCPs). It is proved that the robust stability of LOPCPs implies the robust stability of the uncertain system. Then, an algorithm is proposed to explore system’s robust stability through investigating the robust stability of these LOPCPs based on the exposed edges idea. For the sake of feasibility comparison, extensive examples are elaborated that reveal the superiority of the proposed algorithm." @default.
• W3134650622 created "2021-03-15" @default.
• W3134650622 creator A5003620596 @default.
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• W3134650622 date "2022-01-01" @default.
• W3134650622 modified "2023-10-17" @default.
• W3134650622 title "Reducing conservatism in robust stability analysis of fractional-order-polytopic systems" @default.
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• W3134650622 doi "https://doi.org/10.1016/j.isatra.2021.02.044" @default.
• W3134650622 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33712305" @default.
• W3134650622 hasPublicationYear "2022" @default.
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