Distributed Dynamic Self-Triggered Control for Uncertain Complex Networks With Markov Switching Topologies and Random Time-Varying Delay

2020 ◽  
Vol 7 (3) ◽  
pp. 1111-1120 ◽  
Author(s):  
Xuegang Tan ◽  
Jinde Cao ◽  
Leszek Rutkowski
Keyword(s):  
Complex Networks ◽  
Markov Switching ◽  
Random Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
Switching Topologies ◽  
Varying Delay

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 Synchronization of Complex Networks with Time-Varying Delayed Dynamical Nodes via Pinning Control

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Shuguo Wang ◽  
Hongxing Yao ◽  
Qiuxiang Bian
Keyword(s):  
Numerical Simulation ◽  
Complex Networks ◽  
Pinning Control ◽  
Effective Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Control Scheme ◽  
Adaptive Coupling ◽  
Coupling Strengths ◽  
Varying Delay

This paper investigates the pinning synchronization of nonlinearly coupled complex networks with time-varying coupling delay and time-varying delay in dynamical nodes. Some simple and useful criteria are derived by constructing an effective control scheme and adjusting automatically the adaptive coupling strengths. To validate the proposed method, numerical simulation examples are provided to verify the correctness and effectiveness of the proposed scheme.

scholarly journals Generalized Synchronization between Two Complex Dynamical Networks with Time-Varying Delay and Nonlinear Coupling

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Qiuxiang Bian ◽  
Hongxing Yao
Keyword(s):  
Complex Networks ◽  
Complex Dynamical Networks ◽  
Time Varying ◽  
Nonlinear Coupling ◽  
The Novel ◽  
Generalized Synchronization ◽  
Time Varying Delay ◽  
Response Network ◽  
Adaptive Schemes ◽  
Varying Delay

The generalized synchronization between two complex networks with nonlinear coupling and time-varying delay is investigated in this paper. The novel adaptive schemes of constructing controller response network are proposed to realize generalized synchronization with the drive network to a given mapping. Two specific examples show and verify the effectiveness of the proposed method.

scholarly journals Synchronization and Pinning Control in Complex Networks with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Hai-Feng Jiang ◽  
Tao Li
Keyword(s):  
Complex Networks ◽  
Control Strategies ◽  
Pinning Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Interval Time ◽  
Time Varying Delay ◽  
Nonlinear Matrix ◽  
Varying Delay

The problems on synchronization and pinning control for complex dynamical networks with interval time-varying delay are investigated and two less conservative criteria are established based on reciprocal convex technique. Pinning control strategies are designed to make the complex networks synchronized. Moreover, the problem of designing controllers can be converted into solving a series of NMIs (nonlinear matrix inequalities) and LMIs (linear matrix inequalities), which reduces the computation complexity when comparing with those present results. Finally, numerical simulations can verify the effectiveness of the derived methods.

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