New Fixed-Time Stability Analysis of Delayed Discontinuous Systems via an Augmented Indefinite Lyapunov-Krasovskii Functional

2021 ◽  
pp. 1-10
Author(s):  
Fanchao Kong ◽  
Quanxin Zhu ◽  
Tingwen Huang
Keyword(s):  
Stability Analysis ◽  
Fixed Time ◽  
Discontinuous Systems ◽  
Time Stability

scholarly journals Fixed-Time Stability Analysis of Permanent Magnet Synchronous Motors with Novel Adaptive Control

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Maoxing Liu ◽  
Jie Wu ◽  
Yong-zheng Sun
Keyword(s):  
Stability Analysis ◽  
Permanent Magnet ◽  
Initial Conditions ◽  
Lyapunov Stability Theory ◽  
Fixed Time ◽  
Stability Control ◽  
Time Stability ◽  
Permanent Magnet Synchronous Motors ◽  
Synchronous Motors ◽  
Comparison Results

We firstly investigate the fixed-time stability analysis of uncertain permanent magnet synchronous motors with novel control. Compared with finite-time stability where the convergence rate relies on the initial permanent magnet synchronous motors state, the settling time of fixed-time stability can be adjusted to desired values regardless of initial conditions. Novel adaptive stability control strategy for the permanent magnet synchronous motors is proposed, with which we can stabilize permanent magnet synchronous motors within fixed time based on the Lyapunov stability theory. Finally, some simulation and comparison results are given to illustrate the validity of the theoretical results.

scholarly journals On finite/fixed-time stability analysis based on sup- and sub-homogeneous extensions

2021 ◽  
Vol 150 ◽  
pp. 104893
Author(s):  
Youness Braidiz ◽  
Andrey Polyakov ◽  
Denis Efimov ◽  
Wilfrid Perruquetti
Keyword(s):  
Stability Analysis ◽  
Fixed Time ◽  
Time Stability
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