Resonant excitation and control of high order dispersive nonlinear waves

1998 ◽  
Vol 5 (3) ◽  
pp. 645-658 ◽  
Author(s):  
L. Friedland
2016 ◽  
Vol 203 ◽  
pp. 245-254 ◽  
Author(s):  
Guillaume Ducrozet ◽  
Félicien Bonnefoy ◽  
David Le Touzé ◽  
Pierre Ferrant

2015 ◽  
Vol 18 (3) ◽  
pp. 789-801
Author(s):  
Juan Francisco Marquez-Rubio ◽  
Rocio Jasmin Vazquez-Guerra ◽  
Basilio del Muro-Cuéllar ◽  
Olivier Sename
Keyword(s):  

Author(s):  
Erdinc Sahin ◽  
Mustafa Sinasi Ayas

Abstract Control of chaos generally refers to realize a desired behavior of chaotic system output and its states. In this manner, we design a fractional high-order differential feedback controller (FHODFC) to increase tracking performance of a nonlinear system output and its differentials for a desired trajectory signal. The proposed controller is based on fractional calculus and high-order extracted differentials of error signal. The suggested fractional approach is applied to a single-input–single-output affine Duffing-Holmes dynamical system in matlab/simulink environment. Duffing-Holmes system is analyzed for two different problems: estimation and control problems. The simulation results clearly demonstrate superior dynamic behavior of the FHODFC compared to the classical high-order differential feedback controller (HODFC) version for both estimation and control problems.


Author(s):  
Ali Jaafar ◽  
Emmanuel Godoy ◽  
Pierre Lefranc ◽  
Xuefang Lin Shi ◽  
Akram Fayaz ◽  
...  

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