Fixed-Time Synchronization in the pth Moment for Time-Varying Delay Stochastic Multilayer Networks

2020 ◽  
pp. 1-10
Author(s):  
Yuhua Xu ◽  
Xiaoqun Wu ◽  
Bing Mao ◽  
Jinhu Lu ◽  
Chengrong Xie
Keyword(s):  
Time Synchronization ◽  
Fixed Time ◽  
Time Varying ◽  
Multilayer Networks ◽  
Time Varying Delay ◽  
Varying Delay

Fixed-time synchronization of memristor-based fuzzy cellular neural network with time-varying delay

2018 ◽  
Vol 355 (14) ◽  
pp. 6780-6809 ◽  
Author(s):  
Mingwen Zheng ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Jinghua Xiao ◽  
Yixian Yang ◽  
...  
Keyword(s):  
Neural Network ◽  
Time Synchronization ◽  
Fixed Time ◽  
Cellular Neural Network ◽  
Time Varying ◽  
Time Varying Delay ◽  
Fuzzy Cellular Neural Network ◽  
Varying Delay

Fixed-time synchronization of quaternion-valued neural networks with time-varying delay

2020 ◽  
Vol 476 (2241) ◽  
pp. 20200324
Author(s):  
Umesh Kumar ◽  
Subir Das ◽  
Chuangxia Huang ◽  
Jinde Cao
Keyword(s):  
Neural Networks ◽  
Lyapunov Function ◽  
Time Synchronization ◽  
Sufficient Conditions ◽  
Fixed Time ◽  
Time Varying ◽  
Activation Functions ◽  
Time Varying Delay ◽  
The Neural Networks ◽  
Varying Delay

In this article, sufficient conditions for fixed-time synchronization of time-delayed quaternion-valued neural networks (QVNNs) are derived. Firstly, QVNNs are decomposed into four real-valued systems. Then using the available lemmas and by constructing the Lyapunov function, the synchronization criterion for the neural networks is proposed. Activation functions satisfy the Lipschitz condition. A suitable controller has been designed to synchronize the master–slave systems. The effectiveness of the proposed result is validated through a comparison of the settling time obtained by applying two different existing lemmas to a particular problem of synchronization of two identical QVNNs with time-varying delay with the help of suitable controllers.

scholarly journals Fixed-Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time-Varying Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-14
Author(s):  
Baolin Qiu ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Yixian Yang
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Fixed Time ◽  
Time Varying ◽  
Feedback Controllers ◽  
Dynamical Networks ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

This paper concerns the problem of fixed/finite-time synchronization of hybrid coupled dynamical networks. The considered dynamical networks with multilinks contain only one transmittal time-varying delay for each subnetwork, which makes us get hold of more interesting and practical points. Two kinds of delay-dependent feedback controllers with multilinks as well as appropriate Lyapunov functions are defined to achieve the goal of fixed-time synchronization and finite-time synchronization for the networks. Some novel and effective criteria of hybrid coupled networks are derived based on fixed-time and finite-time stability analysis. Finally, two numerical simulation examples are given to show the effectiveness of the results proposed in our paper.

scholarly journals Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-25
Author(s):  
Ying Liu ◽  
Fei Chen ◽  
Bin Yang ◽  
Xin Wang ◽  
Weiming Wang
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Time Estimation ◽  
Markovian Switching ◽  
Convergence Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
The Impact ◽  
Varying Delay

In this paper, we investigate the finite-time synchronization control for a class of nonlinear coupled multiweighted complex networks (NCMWCNs) with Markovian switching and time-varying delay analytically and quantitatively. The value of this study lies in four aspects: First, it designs the finite-time synchronization controller to make the NCMWCNs with Markovian switching and time-varying delay achieve global synchronization in finite time. Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. Third, it presents the relationship between Markovian switching parameters and synchronization problems of subsystems and the overall system. Fourth, it provides some numerical examples to demonstrate the effectiveness of the theoretical results.

scholarly journals Adaptive Finite-Time Synchronization for Complex Dynamical Network with Different Dimensions of Nodes and Time-Varying Outer Coupling Structures

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Lihong Yan ◽  
Junmin Li
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Time Varying ◽  
Complex Dynamical Network ◽  
Finite Time Stability ◽  
Dynamical Network ◽  
Time Varying Delay ◽  
Different Dimensions ◽  
Inequality Techniques ◽  
Varying Delay

In this paper, we investigate finite-time synchronization problems of complex dynamical networks with different dimensions of nodes, which contain unknown periodically coupling structures and bounded time-varying delay. Based on finite-time stability theory, the inequality techniques, and the properties of Kronecker production of matrices, some useful finite-time synchronization criteria for complex dynamical network with unknown periodical couplings have been obtained. In addition, with proper adaptive periodical learning law designed, the unknown periodical couplings have been estimated successfully. Finally, some simulation examples are performed to verify the theoretical findings.

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