An indirect Lyapunov approach to the observer-based robust control for fractional-order complex dynamic networks

2014 ◽  
Vol 136 ◽  
pp. 235-242 ◽  
Author(s):  
Yong-Hong Lan ◽  
Hai-Bo Gu ◽  
Cai-Xue Chen ◽  
Yan Zhou ◽  
Yi-Ping Luo
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Dynamic Networks ◽  
Order Complex ◽  
Complex Dynamic ◽  
Lyapunov Approach

Adaptive feedback synchronization of fractional-order complex dynamic networks

2016 ◽  
Vol 23 (6) ◽  
pp. 883-894 ◽  
Author(s):  
Youming Lei ◽  
Yong Yang ◽  
Rui Fu ◽  
Yanyan Wang
Keyword(s):  
Fractional Order ◽  
Dynamic Networks ◽  
Order Complex ◽  
Complex Dynamic ◽  
Adaptive Feedback

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.

Robust Control and Synchronization of Fractional-Order Complex Chaotic Systems with Hidden Attractor

2021 ◽  
pp. 199-210
Author(s):  
Ahmad Taher Azar ◽  
Fernando E. Serrano ◽  
Nashwa Ahmad Kamal ◽  
Tulasichandra Sekhar Gorripotu ◽  
Ramana Pilla ◽  
...  
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Order Complex ◽  
Hidden Attractor ◽  
Control And Synchronization ◽  
Complex Chaotic Systems

Fractional order robust control based on Bode's ideal transfer function

2008 ◽  
Vol 42 (6-8) ◽  
pp. 999-1014 ◽  
Author(s):  
Abdelbaki Djouambi ◽  
Abdelfatah Charef ◽  
Alina Voda-Besancon
Keyword(s):  
Robust Control ◽  
Transfer Function ◽  
Fractional Order ◽  
Bode’S Ideal Transfer Function
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