Hybrid projective combination-combination synchronization in non-identical hyperchaotic systems using adaptive control

被引:9
作者
Khan, Ayub [1 ]
Chaudhary, Harindri [1 ]
机构
[1] Jamia Millia Islamia, Dept Math, New Delhi, India
关键词
34K23; 34K35; 37B25; 37N35; CHAOTIC SYSTEMS; ANTI-SYNCHRONIZATION; NEURAL-NETWORKS; CHUAS CIRCUIT; DYNAMICS; STATE;
D O I
10.1007/s40065-020-00279-w
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we investigate a hybrid projective combination-combination synchronization scheme among four non-identical hyperchaotic systems via adaptive control method. Based on Lyapunov stability theory, the considered approach identifies the unknown parameters and determines the asymptotic stability globally. It is observed that various synchronization techniques, for instance, chaos control problem, combination synchronization, projective synchronization, etc. turn into particular cases of combination-combination synchronization. The proposed scheme is applicable to secure communication and information processing. Finally, numerical simulations are performed to demonstrate the effectivity and correctness of the considered technique by using MATLAB.
引用
收藏
页码:597 / 611
页数:15
相关论文
共 50 条
[31]   Optimal Projective Synchronization of Non-identical Fractional-Order Chaotic Systems with Uncertainties and Disturbances Using Fractional Sliding Mode Control with GA and PSO Algorithms [J].
Djari, Abdelhamid .
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2020, 45 (12) :10147-10161
[32]   Optimal Projective Synchronization of Non-identical Fractional-Order Chaotic Systems with Uncertainties and Disturbances Using Fractional Sliding Mode Control with GA and PSO Algorithms [J].
Abdelhamid Djari .
Arabian Journal for Science and Engineering, 2020, 45 :10147-10161
[33]   Synchronization of two hyperchaotic systems via adaptive control [J].
Wu, Xianyong ;
Zhang, Hongmin .
CHAOS SOLITONS & FRACTALS, 2009, 39 (05) :2268-2273
[34]   Switched generalized function projective synchronization of two identical/different hyperchaotic systems with uncertain parameters [J].
Li, Hong-Min ;
Li, Chun-Lai .
PHYSICA SCRIPTA, 2012, 86 (04)
[35]   Robust Finite-time Synchronization of Non-identical Fractional-order Hyperchaotic Systems and Its Application in Secure Communication [J].
Delavari, Hadi ;
Mohadeszadeh, Milad .
IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2019, 6 (01) :228-235
[36]   Synchronization of Non-Identical Unknown Chaotic Delayed Neural Networks Based on Adaptive Sliding Mode Control [J].
Gan, Qintao ;
Liang, Yuhua .
NEURAL PROCESSING LETTERS, 2012, 35 (03) :245-255
[37]   Synchronization of Non-Identical Unknown Chaotic Delayed Neural Networks Based on Adaptive Sliding Mode Control [J].
Qintao Gan ;
Yuhua Liang .
Neural Processing Letters, 2012, 35 :245-255
[38]   Hybrid Synchronization of Lu and Bao Hyperchaotic Systems using Sliding Mode Control [J].
Singh, Piyush Pratp ;
Singh, Jay Prakash ;
Roy, B. K. .
2014 INTERNATIONAL CONFERENCE ON COMMUNICATIONS AND SIGNAL PROCESSING (ICCSP), 2014,
[39]   Modified projective synchronization of different chaotic systems using adaptive control [J].
Nasr-eddine Hamri ;
Rabiaa Ouahabi .
Computational and Applied Mathematics, 2017, 36 :1315-1332
[40]   Adaptive Sliding Mode Control for Synchronization of Unified Hyperchaotic Systems [J].
Li, Wang-Long ;
Liang, Wei-Lun ;
Chang, Kuo-Ming .
2019 24TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2019, :93-98