Bifurcation and control of a planktonic ecological system with double delays by delayed feedback control

Author(s):  
Zhichao Jiang ◽  
Yan Zhao ◽  
Xueli Bai ◽  
Zexian Zhang
2019 ◽  
Vol 9 (8) ◽  
pp. 1557 ◽  
Author(s):  
Jian Peng ◽  
Mingjiao Xiang ◽  
Luxin Li ◽  
Hongxin Sun ◽  
Xiuyong Wang

The time-delayed displacement feedback control is provided to restrain the superharmonic and subharmonic response of the elastic support beams. The nonlinear equations of the controlled elastic beam are obtained with the help of the Euler–Bernoulli beam principle and time-delayed feedback control strategy. Based on Galerkin method, the discrete nonlinear time-delayed equations are derived. Using the multiscale method, the first-order approximate solutions and stability conditions of three superharmonic and 1/3 subharmonic resonance response on controlled beams are derived. The influence of time-delayed parameters and control gain are obtained. The results show that the time-delayed displacement feedback control can effectively suppress the superharmonic and subharmonic resonance response. Selecting reasonably the time-delayed quantity and control gain can avoid the resonance region and unstable multi-solutions and improve the efficiency of the vibration control. Furthermore, with the purpose of suppressing the amplitude peak and governing the resonance stability, appropriate feedback gain and time delay are derived.


Author(s):  
Clive Emary

Feedback control in quantum transport has been predicted to give rise to several interesting effects, among them quantum state stabilization and the realization of a mesoscopic Maxwell's daemon. These results were derived under the assumption that control operations on the system are affected instantaneously after the measurement of electronic jumps through it. In this contribution, I describe how to include a delay between detection and control operation in the master equation theory of feedback-controlled quantum transport. I investigate the consequences of delay for the state stabilization and Maxwell's daemon schemes. Furthermore, I describe how delay can be used as a tool to probe coherent oscillations of electrons within a transport system and how this formalism can be used to model finite detector bandwidth.


2002 ◽  
Vol 89 (7) ◽  
Author(s):  
Nilüfer Baba ◽  
Andreas Amann ◽  
Eckehard Schöll ◽  
Wolfram Just

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
Hiroyasu Ando ◽  
Kohta Takehara ◽  
Miki U. Kobayashi

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