Robust stability criterion for fractional-order systems with interval uncertain coefficients and a time-delay

2015 ◽  
Vol 58 ◽  
pp. 76-84 ◽  
Author(s):  
Zhe Gao
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Robust Stability ◽  
Stability Criterion ◽  
Fractional Order Systems

Robust Stability Analysis of Interval Fractional-Order Plants with Interval Time delay and General Form of Fractional-Order Controllers

2021 ◽  
pp. 1-1
Author(s):  
Majid Ghorbani ◽  
Mahsan Tavakoli-Kakhki ◽  
Aleksei Tepljakov ◽  
Eduard Petlenkov ◽  
Arash Farnam ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Fractional Order ◽  
Robust Stability ◽  
Interval Time ◽  
Robust Stability Analysis

scholarly journals Finite-time stability of linear stochastic fractional-order systems with time delay

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lassaad Mchiri ◽  
Abdellatif Ben Makhlouf ◽  
Dumitru Baleanu ◽  
Mohamed Rhaima
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Stochastic Analysis ◽  
Fractional Order Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Analysis Techniques ◽  
Generalized Gronwall Inequality ◽  
Stability Of The Solution

AbstractThis paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for $\alpha \in (\frac{1}{2},1)$ α ∈ ( 1 2 , 1 ) . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

Practical stabilization of time-delay fractional-order systems by parametric controllers

2019 ◽  
Vol 95 ◽  
pp. 211-220 ◽  
Author(s):  
Narges Tahmasbi ◽  
Hojjat Ahsani Tehrani ◽  
Javad Esmaeili
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Fractional Order Systems ◽  
Practical Stabilization
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