scholarly journals Fixed‐time outer synchronization under double‐layered multiplex networks with hybrid links and time‐varying delays via delayed feedback control

2020 ◽  
Author(s):  
Fei Tan ◽  
Lili Zhou ◽  
Junwei Lu ◽  
Yuming Chu ◽  
Yongmin Li
Keyword(s):  
Feedback Control ◽  
Fixed Time ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Time Varying ◽  
Outer Synchronization ◽  
Multiplex Networks

Delayed Feedback Control for Linear Time-Varying Periodic Systems in Act-and-Wait Fashion

2013 ◽  
Vol 46 (12) ◽  
pp. 11-16 ◽  
Author(s):  
Mohd Amir Fikri bin Mohd Taib ◽  
Tomohisa Hayakawa ◽  
Ahmet Cetinkaya
Keyword(s):  
Feedback Control ◽  
Linear Time ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Periodic Systems ◽  
Time Varying

scholarly journals Generic stabilizability for time-delayed feedback control

2016 ◽  
Vol 472 (2189) ◽  
pp. 20150593 ◽  
Author(s):  
J. Sieber
Keyword(s):  
Feedback Control ◽  
Periodic Orbit ◽  
Fixed Time ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Current Output ◽  
Linear Control Theory ◽  
The Difference ◽  
Modelling Assumptions ◽  
Time Delayed Feedback

Time-delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current output and the output from a fixed time T ago. Thus, any periodic orbit of period T in the feedback-controlled system is also a periodic orbit of the uncontrolled system, independent of any modelling assumptions. It has been an open problem whether this approach can be successful in general, that is, under genericity conditions similar to those in linear control theory (controllability), or if there are fundamental restrictions to time-delayed feedback control. We show that, in principle, there are no restrictions. This paper proves the following: for every periodic orbit satisfying a genericity condition slightly stronger than classical linear controllability, one can find control gains that stabilize this orbit with extended time-delayed feedback control. While the paper’s techniques are based on linear stability analysis, they exploit the specific properties of linearizations near autonomous periodic orbits in nonlinear systems, and are, thus, mostly relevant for the analysis of nonlinear experiments.

DECENTRALIZED DELAYED FEEDBACK CONTROL OF COUPLED MAP LATTICES ON IRREGULAR NETWORK TOPOLOGIES

2010 ◽  
Vol 20 (10) ◽  
pp. 3351-3358 ◽  
Author(s):  
KEIJI KONISHI
Keyword(s):  
Stability Analysis ◽  
Feedback Control ◽  
Waiting Time ◽  
Network Topology ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Coupled Map Lattices ◽  
Time Varying ◽  
External Disturbances ◽  
Network Topologies

This paper proposes decentralized delayed feedback control for coupled map lattices on irregular network topologies. Linear stability analysis provides a systematic procedure for designing controllers that does not depend on the number of sites or network topology. To reduce the long waiting time for stabilization, we demonstrate two techniques by numerical simulations: delayed feedback destabilization and time-varying coupling-strength. Furthermore, the robustness of the controlled state against external disturbances is investigated.

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