Novel Robust $H_{\infty}$ Stability and Stabilization Conditions for Fractional-order Systems with Convex Polytopic Uncertainties

2021 ◽  
Author(s):  
Hanru Tang ◽  
Junguo Lu ◽  
Dong Yang
Keyword(s):  
Fractional Order ◽  
Fractional Order Systems ◽  
Stability And Stabilization ◽  
Polytopic Uncertainties ◽  
Convex Polytopic Uncertainties

scholarly journals Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Orderα: The1≤α<2Case

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Yuanhua Li ◽  
Heng Liu ◽  
Hongxing Wang
Keyword(s):  
Fractional Order ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Fractional Order Systems ◽  
Matrix Inequalities ◽  
Interval System ◽  
Interval Coefficients ◽  
Stability And Stabilization ◽  
Necessary And Sufficient ◽  
Robust Stability And Stabilization

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 dimensionnonly need to solve one 4n-by-4nLMI. Numerical examples are presented to shown the effectiveness of our results.

New results on stability and stabilization of a class of nonlinear fractional-order systems

2013 ◽  
Vol 75 (4) ◽  
pp. 633-641 ◽  
Author(s):  
Liping Chen ◽  
Yigang He ◽  
Yi Chai ◽  
Ranchao Wu
Keyword(s):  
Fractional Order ◽  
Fractional Order Systems ◽  
Stability And Stabilization
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