scholarly journals Fractional‐order complex correntropy algorithm for adaptive filtering in α‐stable environment

2021 ◽  
Author(s):  
Chen Qiu ◽  
Zhenyuan Dong ◽  
Wenxing Yan ◽  
Guobing Qian
Keyword(s):  
Fractional Order ◽  
Adaptive Filtering ◽  
Order Complex ◽  
Stable Environment

Asymptotical synchronization analysis of fractional-order complex neural networks with non-delayed and delayed couplings

2021 ◽  
Author(s):  
Li Li ◽  
Xinge Liu ◽  
Meilan Tang ◽  
Shuailei Zhang ◽  
Xianming Zhang
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Order Complex

Design and Analysis of the Fractional-Order Complex Least Mean Square (FoCLMS) Algorithm

2021 ◽  
Author(s):  
Jawwad Ahmad ◽  
Muhammad Zubair ◽  
Syed Sajjad Hussain Rizvi ◽  
Muhammad Shafique Shaikh
Keyword(s):  
Fractional Order ◽  
Order Complex ◽  
Mean Square ◽  
Least Mean Square

Complex projection synchronization of fractional order uncertain complex-valued networks with time-varying coupling

2019 ◽  
Vol 33 (29) ◽  
pp. 1950351 ◽  
Author(s):  
Dawei Ding ◽  
Xiaolei Yao ◽  
Hongwei Zhang
Keyword(s):  
Fractional Order ◽  
Coupling Strength ◽  
Dynamic Networks ◽  
Sufficient Conditions ◽  
Feedback Gain ◽  
Time Varying ◽  
Order Complex ◽  
Unknown Parameters ◽  
Synchronization Problem ◽  
Complex Valued

In this paper, the complex projection synchronization problem of fractional complex-valued dynamic networks is investigated. Considering the time-varying coupling and unknown parameters of the fractional order complex network, several decentralized adaptive strategies are designed to adjust the coupling strength and controller feedback gain in order to investigate the complex projection synchronization problem of the system. Moreover, based on the designed identification law, the uncertain parameters in the network can be estimated. Using adaptive law which balances the time-varying coupling strength and the feedback gain of the controller, some sufficient conditions are obtained for the complex projection synchronization of complex networks. Finally, numerical simulation examples are provided to illustrate the efficiency of the complex projection synchronization strategies of the fractional order complex dynamic networks.

Dissipativity and stability analysis of fractional-order complex-valued neural networks with time delay

2017 ◽  
Vol 86 ◽  
pp. 42-53 ◽  
Author(s):  
G. Velmurugan ◽  
R. Rakkiyappan ◽  
V. Vembarasan ◽  
Jinde Cao ◽  
Ahmed Alsaedi
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Time Delay ◽  
Fractional Order ◽  
Order Complex ◽  
Complex Valued

scholarly journals Delay-coupled fractional order complex Cohen-Grossberg neural networks under parameter uncertainty: Synchronization stability criteria

2021 ◽  
Vol 6 (3) ◽  
pp. 2844-2873
Author(s):  
Pratap Anbalagan ◽  
◽  
Evren Hincal ◽  
Raja Ramachandran ◽  
Dumitru Baleanu ◽  
...  
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Parameter Uncertainty ◽  
Order Complex ◽  
Stability Criteria
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