Modified function projective lag synchronization of hyperchaotic complex systems with parameter perturbations and external perturbations

A novel fixed-time controller is proposed to perform fixed-time complex modified function projective lag synchronization of chaotic (hyperchaotic) complex systems. The synchronization is obtained after a finite time that could be preestablished without the knowledge of the initial states of both synchronized chaotic (hyperchaotic) complex systems. The global fixed-time stability of the closed-loop systems is rigorously proven based on Lyapunov analysis. Some simulation examples are provided to demonstrate the effectiveness and feasibility of the proposed method and verify the theoretical results.

Download Full-text

Generalized Function Projective Lag Synchronization in Fractional-Order Chaotic Systems

International Journal of Information and Electronics Engineering ◽

10.18178/ijiee.2016.6.5.642 ◽

2016 ◽

Vol 6 (5) ◽

pp. 299-303

Author(s):

Yancheng Ma ◽

◽

Guoan Wu ◽

Lan Jiang

Keyword(s):

Fractional Order ◽

Chaotic Systems ◽

Generalized Function ◽

Lag Synchronization ◽

Projective Lag Synchronization

Download Full-text

Adaptive Generalized Function Projective Lag Synchronization and Parameter Identification of Hyperchaotic Systems

2015 Seventh International Symposium on Parallel Architectures, Algorithms and Programming (PAAP) ◽

10.1109/paap.2015.22 ◽

2015 ◽

Author(s):

Ding Wenke ◽

Chai Xiuli

Keyword(s):

Parameter Identification ◽

Generalized Function ◽

Lag Synchronization ◽

Projective Lag Synchronization ◽

Hyperchaotic Systems

Download Full-text

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

Mathematical Problems in Engineering ◽

10.1155/2017/8045803 ◽

2017 ◽

Vol 2017 ◽

pp. 1-12 ◽

Cited By ~ 1

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.

Download Full-text