Robust stability criterion of fractional-order functions for interval fractional-order systems

2013 ◽  
Vol 7 (1) ◽  
pp. 60-67 ◽  
Author(s):  
Zhe Gao ◽  
Xiaozhong Liao
Keyword(s):  
Fractional Order ◽  
Robust Stability ◽  
Stability Criterion ◽  
Fractional Order Systems

Robust stability bounds of uncertain fractional-order systems

2014 ◽  
Vol 17 (1) ◽  
Author(s):  
YingDong Ma ◽  
Jun-Guo Lu ◽  
WeiDong Chen ◽  
YangQuan Chen
Keyword(s):  
Fractional Order ◽  
Robust Stability ◽  
Asymptotical Stability ◽  
Asymptotically Stable ◽  
Fractional Order Systems ◽  
Infinity Norm ◽  
Stability Bound ◽  
Bounded Uncertainty ◽  
Theoretical Results

AbstractThis paper considers the robust stability bound problem of uncertain fractional-order systems. The system considered is subject either to a two-norm bounded uncertainty or to a infinity-norm bounded uncertainty. The robust stability bounds on the uncertainties are derived. The fact that these bounds are not exceeded guarantees that the asymptotical stability of the uncertain fractional-order systems is preserved when the nominal fractional-order systems are already asymptotically stable. Simulation examples are given to demonstrate the effectiveness of the proposed theoretical results.

Sign in / Sign up

Export Citation Format

Share Document