Controlling a time-delay system using multiple delay feedback control

2007 ◽  
Vol 16 (8) ◽  
pp. 2259-2263 ◽  
Author(s):  
Qi Wei ◽  
Zhang Yan ◽  
Wang Ying-Hai
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Delay System ◽  
Time Delay System ◽  
Multiple Delay ◽  
Delay Feedback Control

Stabilization for Schrödinger equation with a distributed time delay in the boundary input

2018 ◽  
Vol 36 (4) ◽  
pp. 1305-1324
Author(s):  
Haoyue Cui ◽  
Genqi Xu ◽  
Yunlan Chen
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Main Idea ◽  
Delay System ◽  
Control Law ◽  
Stabilization Problem ◽  
Time Delay System ◽  
Original Time

Abstract In this study, the stabilization problem for Schrödinger equation with distributed input time delay is considered. The main idea of solving the stabilization problem is transformation. The original time delay system is firstly transformed into the undelayed system, and then the feedback control law which can stabilize the undelayed system is found. Finally, we prove that the feedback control law can also exponentially stabilize the time delay system.

A Design of Control Strategy for Chaotic Systems with Time-Delay

2014 ◽  
Vol 541-542 ◽  
pp. 1248-1255
Author(s):  
Jiang Xu ◽  
Tao Li
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Fixed Points ◽  
Control Strategy ◽  
Chaotic Systems ◽  
Delay System ◽  
Delayed Feedback Control ◽  
Time Delay System ◽  
Discrete Time Delay ◽  
Odd Number Limitation

In various kinds of feedback control, delayed control is an important topic for chaos control, which deserves more thorough researches. However, only a few researchers take in to account that whether the delayed feedback control (DFC) can be employed to control chaotic systems with time-delay. To investigate the control strategy, a stabilization problem of unstable fixed points in the discrete time-delay system is taken into considerations in this paper. Based on our conclusion, it is obvious that the odd number limitation property existing in the system without delay also exists in the time-delay one while the DFC is employed to stabilize the unstable fixed points. Second, based on the property of the root-locus diagram, a developed DFC strategy is proposed to release the limitation. The numerical simulation results validate the effectiveness of our design and are in agreement of our analysis.

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