Complete synchronization and projective lag synchronization of complex-valued hyperchaotic Lorenz system and Lü system via active control

2015 ◽  
Author(s):  
Xiaohua Yuan ◽  
Chuandong Li ◽  
Tingwen Huang
Keyword(s):  
Active Control ◽  
Lorenz System ◽  
Complete Synchronization ◽  
Lag Synchronization ◽  
Projective Lag Synchronization ◽  
Hyperchaotic Lorenz System ◽  
Complex Valued

MODIFIED PROJECTIVE LAG SYNCHRONIZATION OF TWO NONIDENTICAL HYPERCHAOTIC COMPLEX NONLINEAR SYSTEMS

2011 ◽  
Vol 21 (08) ◽  
pp. 2369-2379 ◽  
Author(s):  
GAMAL M. MAHMOUD ◽  
EMAD E. MAHMOUD
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Active Control ◽  
Numerical Results ◽  
Control Technique ◽  
Lag Synchronization ◽  
Control Functions ◽  
Projective Lag Synchronization ◽  
Complex Nonlinear Systems ◽  
Analytical Expressions

In this work, we introduce and investigate the modified projective lag synchronization (MPLS) of two nonidentical hyperchaotic complex nonlinear systems. The idea of an active control technique based on complex Lyapunov function with lag in time is used for an approach to investigate MPLS of hyperchaotic attractors of these systems. For illustration, this approach is applied to hyperchaotic complex Chen and Lü systems. Numerical results are calculated to test the validity of the analytical expressions of control functions to achieve MPLS.

Synchronization of hyperchaotic Lorenz system based on passive control

2006 ◽  
Vol 15 (9) ◽  
pp. 1971-1975 ◽  
Author(s):  
Wang Fa-Qiang ◽  
Liu Chong-Xin
Keyword(s):  
Passive Control ◽  
Lorenz System ◽  
Hyperchaotic Lorenz System

scholarly journals Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Abdesselem Boulkroune ◽  
Sarah Hamel ◽  
Farouk Zouari ◽  
Abdelkrim Boukabou ◽  
Asier Ibeas
Keyword(s):  
Output Feedback ◽  
Dead Zone ◽  
Output Feedback Control ◽  
Lyapunov Theory ◽  
Positive Real ◽  
Lag Synchronization ◽  
Uncertain Dynamics ◽  
Response Systems ◽  
Projective Lag Synchronization ◽  
Sector Nonlinearities

This paper solves the problem of projective lag-synchronization based on output-feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics. To effectively deal with both dead-zone and sector nonlinearities, the proposed controller is designed in a variable-structure framework. To online learn the uncertain dynamics, adaptive fuzzy systems are used. And to estimate the unavailable states, a simple synchronization error is constructed. To prove the stability of the overall closed-loop system (controller, observer, and drive-response system) and to design the adaptation laws, a Lyapunov theory and strictly positive real (SPR) approach are exploited. Finally, three academic examples are given to show the effectiveness of this proposed lag-synchronization scheme.

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