Lag Synchronization of Unknown Chaotic Delayed Yang-Yang-Type Fuzzy Neural Networks With Noise Perturbation Based on Adaptive Control and Parameter Identification

• Published in: IEEE transaction on neural networks and learning systems 2009-07, Vol.20 (7), p.1165-1180
• Main Authors: Xia, Yonghui, Yang, Zijiang, Han, Maoan
• Format: Article
• Language: English
• Subjects: Adaptation, Physiological; Adaptive control; Algorithms; Applied sciences; Artificial Intelligence; Chaos; Chaos theory; Chaotic communication; Computer science; control theory; systems; Computer Simulation; Connectionism. Neural networks; Cortical Synchronization; Exact sciences and technology; Fuzzy; fuzzy cellular neural networks; Fuzzy control; Fuzzy Logic; Fuzzy neural networks; Neural networks; Neural Networks (Computer); Noise; Nonlinear Dynamics; Nonlinear dynamics and nonlinear dynamical systems; Parameter estimation; parameter identification; Pattern Recognition, Automated; Perturbation; Physics; Programmable control; Software; Stability; Statistical physics, thermodynamics, and nonlinear dynamical systems; Studies; Synchronism; synchronization; Synchronization; coupled oscillators; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments)
• ISSN: 1045-9227; 2162-237X; 1941-0093; 2162-2388
• DOI: 10.1109/TNN.2009.2016842

This paper considers the lag synchronization (LS) issue of unknown coupled chaotic delayed Yang-Yang-type fuzzy neural networks (YYFCNN) with noise perturbation. Separate research work has been published on the stability of fuzzy neural network and LS issue of unknown coupled chaotic neural networks, as well as its application in secure communication. However, there have not been any studies that integrate the two. Motivated by the achievements from both fields, we explored the benefits of integrating fuzzy logic theories into the study of LS problems and applied the findings to secure communication. Based on adaptive feedback control techniques and suitable parameter identification, several sufficient conditions are developed to guarantee the LS of coupled chaotic delayed YYFCNN with or without noise perturbation. The problem studied in this paper is more general in many aspects. Various problems studied extensively in the literature can be treated as special cases of the findings of this paper, such as complete synchronization (CS), effect of fuzzy logic, and noise perturbation. This paper presents an illustrative example and uses simulated results of this example to show the feasibility and effectiveness of the proposed adaptive scheme. This research also demonstrates the effectiveness of application of the proposed adaptive feedback scheme in secure communication by comparing chaotic masking with fuzziness with some previous studies. Chaotic signal with fuzziness is more complex, which makes unmasking more difficult due to the added fuzzy logic.