Fixed-time stability theorem of stochastic nonlinear systems

2018 ◽  
Vol 92 (9) ◽  
pp. 2194-2200 ◽  
Author(s):  
Jiaju Yu ◽  
Shuanghe Yu ◽  
Juan Li ◽  
Yan Yan
Keyword(s):  
Nonlinear Systems ◽  
Fixed Time ◽  
Stability Theorem ◽  
Stochastic Nonlinear Systems ◽  
Time Stability

Fixed time synchronization of a class of chaotic systems based via the saturation control

2021 ◽  
Vol 67 (4 Jul-Aug) ◽  
pp. 041401
Author(s):  
Jiaojiao Fu ◽  
Runzi Luo ◽  
Meichun Huang ◽  
Haipeng Su
Keyword(s):  
Upper Bound ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Fixed Time ◽  
Stability Theorem ◽  
Backstepping Method ◽  
Time Stability ◽  
Saturation Control ◽  
New Chaotic System ◽  
Upper Bound Estimate

In this paper, we discuss the fixed time synchronization of a class of chaotic systems based on the backstepping control with disturbances. A new and important fixed time stability theorem is presented. The upper bound estimate formulas of the settling time are also given which are different from the existing results in the literature. Based on the new fixed time stability theorem, a novel saturation controller for the fixed time synchronization a class of chaotic systems is proposed via the backstepping method. Finally, the new chaotic system is taken as an example to illustrate the applicability of the obtained theory.

A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks

2020 ◽  
Vol 123 ◽  
pp. 412-419 ◽  
Author(s):  
Chuan Chen ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Yixian Yang ◽  
Ling Mi ◽  
...  
Keyword(s):  
Neural Networks ◽  
Time Synchronization ◽  
Fixed Time ◽  
Stability Theorem ◽  
Time Stability

A new fixed-time stability theorem and its application to the synchronization control of memristive neural networks

2019 ◽  
Vol 349 ◽  
pp. 290-300 ◽  
Author(s):  
Chuan Chen ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Yixian Yang ◽  
Ling Mi ◽  
...  
Keyword(s):  
Neural Networks ◽  
Fixed Time ◽  
Stability Theorem ◽  
Synchronization Control ◽  
Memristive Neural Networks ◽  
Time Stability
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