scholarly journals Finite-/fixed-time synchronization of delayed Clifford-valued recurrent neural networks

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
N. Boonsatit ◽  
G. Rajchakit ◽  
R. Sriraman ◽  
C. P. Lim ◽  
P. Agarwal
Keyword(s):  
Neural Networks ◽  
Recurrent Neural Networks ◽  
Time Synchronization ◽  
Fixed Time ◽  
Computational Techniques ◽  
Feedback Controllers ◽  
System Models ◽  
Response System ◽  
Synchronization Problem ◽  
Error System

AbstractThis paper investigates the problem of finite-/fixed-time synchronization for Clifford-valued recurrent neural networks with time-varying delays. The considered Clifford-valued drive and response system models are firstly decomposed into real-valued drive and response system models in order to overcome the difficulty of the noncommutativity of the multiplication of Clifford numbers. Then, suitable time-delayed feedback controllers are devised to investigate the synchronization problem in finite-/fixed-time of error system. On the basis of new Lyapunov–Krasovskii functional and new computational techniques, finite-/fixed-time synchronization criteria are formulated for the corresponding real-valued drive and response system models. Two numerical examples demonstrate the effectiveness of the theoretical results.

scholarly journals Finite-time synchronization for chaotic neural networks with stochastic disturbances

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xuejun Shi ◽  
Yongshun Zhao ◽  
Xiaodi Li
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Basic Result ◽  
Fixed Time ◽  
System Response ◽  
Stochastic Disturbances ◽  
Chaotic Neural Networks ◽  
Response System ◽  
Error System

AbstractIn this paper, we focus on the problem of synchronization for chaotic neural networks with stochastic disturbances. Firstly, we provide a basic result that the systems including the drive system, response system, and error system have a unique solution on the whole time horizon. Based on this result, we design a new control law such that the response system can be synchronized with the drive chaotic system in finite time. Furthermore, we show that the settling time is independent of the initial data under some proper conditions, which hints that the fixed-time synchronization of chaotic neural networks can be realized by our proposed method. Finally, we give simulations to verify the theoretical analysis for our main results.

Effects of mixed time delays and D operators on fixed-time synchronization of discontinuous neutral-type neural networks

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Lin Sun ◽  
Fanchao Kong ◽  
Hongjun Qiu ◽  
Yanhong Zhang
Keyword(s):  
Neural Networks ◽  
Time Synchronization ◽  
Neutral Type ◽  
Fixed Time ◽  
Feedback Controllers ◽  
Control Laws ◽  
Mixed Time Delays ◽  
Inequality Technique ◽  
Error System ◽  
Functional Differential

Abstract In this paper, the fixed-time synchronization analysis is addressed for a class of discontinuous neutral-type neural networks. The focus is mainly on the design of useful control laws such that the constructed error system converges to zero in a fixed time. The major difficulty is to cope with the discontinuous neuron activations, D operators, time-varying discrete, and distributed delays simultaneously. To accomplish the target, a new and effective framework is firstly established. By means of functional differential inclusions theory, inequality technique and Lyapunov–Krasovskii functional, novel discontinuous feedback controllers are designed and some new verifiable algebraic criteria are derived to design the control gains. In contrast to the existed results on the neutral-type neural networks, the theoretical results of this paper are more general and rigorous. Finally, numerical examples and simulations are presented to illustrate the correctness of the main results.

scholarly journals The Fast Fixed-Time Bipartite Synchronization of Coupled Delayed Neural Networks with Signed Graphs

2021 ◽  
Author(s):  
Shiju Yang ◽  
Chuandong Li ◽  
Yu Li ◽  
Ting Yang ◽  
Bo Li
Keyword(s):  
Neural Networks ◽  
Time Synchronization ◽  
Lyapunov Stability Theory ◽  
Fixed Time ◽  
Initial Condition ◽  
Signed Graphs ◽  
Comparison System ◽  
Delayed Neural Networks ◽  
Synchronization Problem ◽  
System Method

Abstract In this paper, the fixed-time bipartite synchronization problem for coupled delayed neural networks with signed graphs is discussed. Different from traditional neural networks, the interactions between nodes of delayed neural networks can be either collaborative or antagonistic. Furthermore, compared with the initial-condition based finite-time synchronization, the settling time is bounded by a constant within fixedtime regardless of the initial condition. It is worth noting that the fixed-time stable network for bipartite synchronization in this paper achieves more faster convergence than most existing publications. By applying constructing comparison system method, Lyapunov stability theory and inequality techniques, some sufficient criteria for fixed-time bipartite synchronization are obtained. Finally, two numerical examples are granted to display the performance of the obtained results.

scholarly journals Predefined-Time Stability/Synchronization of Coupled Memristive Neural Networks With Multi-Links and Application in Secure Communication

2021 ◽  
Vol 15 ◽  
Author(s):  
Hui Zhao ◽  
Aidi Liu ◽  
Qingjié Wang ◽  
Mingwen Zheng ◽  
Chuan Chen ◽  
...  
Keyword(s):  
Neural Networks ◽  
Secure Communication ◽  
Time Synchronization ◽  
Fixed Time ◽  
Settling Time ◽  
Memristive Neural Networks ◽  
Time Stability ◽  
Synchronization Problem ◽  
Communication Scheme ◽  
The Given

This paper explores the realization of a predefined-time synchronization problem for coupled memristive neural networks with multi-links (MCMNN) via nonlinear control. Several effective conditions are obtained to achieve the predefined-time synchronization of MCMNN based on the controller and Lyapunov function. Moreover, the settling time can be tunable based on a parameter designed by the controller, which is more flexible than fixed-time synchronization. Then based on the predefined-time stability criterion and the tunable settling time, we propose a secure communication scheme. This scheme can determine security of communication in the aspect of encrypting the plaintext signal with the participation of multi-links topology and coupled form. Meanwhile, the plaintext signals can be recovered well according to the given new predefined-time stability theorem. Finally, numerical simulations are given to verify the effectiveness of the obtained theoretical results and the feasibility of the secure communication scheme.

scholarly journals Fixed-Time Synchronization of Memristive Fuzzy BAM Cellular Neural Networks With Time-Varying Delays Based on Feedback Controllers

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 12085-12102 ◽  
Author(s):  
Mingwen Zheng ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Jinghua Xiao ◽  
Yixian Yang ◽  
...  
Keyword(s):  
Neural Networks ◽  
Time Synchronization ◽  
Fixed Time ◽  
Cellular Neural Networks ◽  
Time Varying ◽  
Feedback Controllers

scholarly journals Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations

2021 ◽  
Vol 2021 ◽  
pp. 1-25
Author(s):  
Hao Pu ◽  
Fengjun Li
Keyword(s):  
Neural Networks ◽  
Time Synchronization ◽  
Fixed Time ◽  
Power Exponent ◽  
Memristive Neural Networks ◽  
Synchronization Problem ◽  
Neuron Activation ◽  
Discontinuous Activations ◽  
Inclusion Theory ◽  
Theoretical Results

In this paper, the fixed-time synchronization problem for a class of memristive neural networks with discontinuous neuron activation functions and mixed time-varying delays is investigated. With the help of the fixed-time stability theory, under the framework of Filippov solution and differential inclusion theory, several new and useful sufficient criteria for fixed-time synchronization are obtained by designing two types of energy-saving and simple controllers for the considered systems. Compared with the traditional fixed-time synchronization controller, the controllers used in this paper only have one power exponent term, which is a function of the system state error rather than a constant. Moreover, some previous relevant works are especially improved. Finally, two numerical examples are given to show the correctness and the effectiveness of the obtained theoretical results.

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