Robust stability and stabilization of interval uncertain descriptor fractional-order systems with the fractional-order \(\alpha\): the \(1 \leq \alpha < 2\) case (Q1666120)
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scientific article; zbMATH DE number 6926767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robust stability and stabilization of interval uncertain descriptor fractional-order systems with the fractional-order \(\alpha\): the \(1 \leq \alpha < 2\) case |
scientific article; zbMATH DE number 6926767 |
Statements
Robust stability and stabilization of interval uncertain descriptor fractional-order systems with the fractional-order \(\alpha\): the \(1 \leq \alpha < 2\) case (English)
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27 August 2018
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Summary: Stability and stabilization of fractional-order interval system is investigated. By adding parameters to linear matrix inequalities, necessary and sufficient conditions for stability and stabilization of the system are obtained. The results on stability check for uncertain FO-LTI systems with interval coefficients of dimension \(n\) only need to solve one 4\(n\)-by-4\(n\) LMI. Numerical examples are presented to shown the effectiveness of our results.
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