Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback controller

2011 ◽  
Vol 375 (24) ◽  
pp. 2322-2326 ◽  
Author(s):  
U.E. Vincent ◽  
R. Guo
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Feedback Controller ◽  
Adaptive Feedback ◽  
Hyperchaotic Systems

Finite-time H∞ synchronization of semi-Markov jump Lur’e systems

2021 ◽  
pp. 2150168
Author(s):  
Xin Huang ◽  
Youmei Zhou ◽  
Muyun Fang ◽  
Jianping Zhou ◽  
Sabri Arik
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Time Synchronization ◽  
Control Method ◽  
Design Method ◽  
External Disturbance ◽  
Feedback Controller ◽  
Markov Jump ◽  
Lur’E Systems ◽  
State Feedback Controller

This paper investigates the problem of finite-time [Formula: see text] synchronization for semi-Markov jump Lur’e systems with time-varying delay and external disturbance. The purpose of this work is to design a mode-dependent state-feedback controller to ensure that the synchronization-error system achieves finite-time synchronization with a prescribed [Formula: see text] performance index. A criterion for the finite-time synchronization is proposed by using appropriate Lyapunov functional and two recently developed inequalities. Then, a design method for the required state-feedback controller is presented with the application of several decoupling techniques. Finally, an example is provided to illustrate the applicability of the proposed control method.

scholarly journals Finite-Time Synchronization of Singular Hybrid Coupled Networks

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Cong Zheng ◽  
Jinde Cao
Keyword(s):  
Finite Time ◽  
Stability Theory ◽  
State Feedback ◽  
Time Synchronization ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Time Stability ◽  
Finite Time Stability ◽  
Coupled Networks

This paper investigates finite-time synchronization of the singular hybrid coupled networks. The singular systems studied in this paper are assumed to be regular and impulse-free. Some sufficient conditions are derived to ensure finite-time synchronization of the singular hybrid coupled networks under a state feedback controller by using finite-time stability theory. A numerical example is finally exploited to show the effectiveness of the obtained results.

Global Lagged Finite-Time Synchronization of Two Chaotic Lur’e Systems Subject to Time Delay

2015 ◽  
Vol 25 (12) ◽  
pp. 1550161 ◽  
Author(s):  
Yun Chen ◽  
Xiaofeng Wu ◽  
Qian Lin
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Time Synchronization ◽  
Signal Transmission ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Lur’E Systems ◽  
Chaotic Lur’E Systems ◽  
Variable Substitution ◽  
Synchronization Scheme

This paper investigates the global lagged finite-time synchronization of the master-slave Lur’e systems subject to time delay of signal transmission. By designing a variable-substitution and feedback controller, a master-slave finite-time synchronization scheme for the Lur’e systems with time delay is built up. Two delay-independent global lagged finite-time synchronization criteria are proved in the forms of linear matrix inequalities (LMIs), and the corresponding settling time of synchronization is analytically estimated. The obtained LMI criteria are applied to Chua’s oscillators, obtaining some easily implemented algebraic criteria under various single-variable-substitution and feedback controller, which are then optimized to improve their conservative property. Finally, several numerical examples are illustrated to verify the effectiveness of the optimized criteria.

Finite-time synchronization of memristive hyperchaotic systems

2017 ◽  
Author(s):  
Junjian Huang ◽  
Yanjun Liu ◽  
Changjiu Pu ◽  
Yu Qin ◽  
Wei Zhang ◽  
...  
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Hyperchaotic Systems

Finite-Time Synchronization for High-Dimensional Chaotic Systems and Its Application to Secure Communication

2016 ◽  
Vol 11 (5) ◽  
Author(s):  
Yongjian Liu ◽  
Lijie Li ◽  
Yu Feng
Keyword(s):  
Finite Time ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Control Technique ◽  
High Dimensional ◽  
Time Stability ◽  
Finite Time Stability ◽  
Information Signal ◽  
Hyperchaotic Systems

The finite-time synchronization for the high-dimensional chaotic system is studied. A method is derived from the finite-time stability theory and adaptive control technique. To show the wider applicability of our method, an illustration is given using four-dimensional (4D) hyperchaotic systems. Numerical simulations are also used to verify the effectiveness of the technique. Then, the synchronization is applied to secure communication through chaos masking. Simulation results show that the two high-dimensional chaotic systems can realize monotonous synchronization, and the information signal, which is masked, can be recovered undistortedly.

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