Robust stability analysis of nonlinear fractional-order time-variant systems (Q1718367)
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scientific article; zbMATH DE number 7016421
| Language | Label | Description | Also known as |
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| English | Robust stability analysis of nonlinear fractional-order time-variant systems |
scientific article; zbMATH DE number 7016421 |
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Robust stability analysis of nonlinear fractional-order time-variant systems (English)
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8 February 2019
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Summary: This paper presents a stability theorem for a class of nonlinear fractional-order time-variant systems with fractional order \(\alpha\)\ \ \((1 < \alpha < 1)\) by using the Gronwall-Bellman lemma. Based on this theorem, a sufficient condition for designing a state feedback controller to stabilize such fractional-order systems is also obtained. Finally, a numerical example demonstrates the validity of this approach.
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