scholarly journals Adaptive Synchronization of Complex Dynamical Networks with State Predictor

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yuntao Shi ◽  
Bo Liu ◽  
Xiao Han
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Simulations ◽  
Lyapunov Method ◽  
Adaptive Strategy ◽  
Convergence Speed ◽  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Dynamical Networks ◽  
Synchronous State ◽  
Coupling Strengths

This paper addresses the adaptive synchronization of complex dynamical networks with nonlinear dynamics. Based on the Lyapunov method, it is shown that the network can synchronize to the synchronous state by introducing local adaptive strategy to the coupling strengths. Moreover, it is also proved that the convergence speed of complex dynamical networks can be increased via designing a state predictor. Finally, some numerical simulations are worked out to illustrate the analytical results.

scholarly journals Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Bo Liu ◽  
Xiaoling Wang ◽  
Yanping Gao ◽  
Guangming Xie ◽  
Housheng Su
Keyword(s):  
Numerical Simulations ◽  
Nonsmooth Analysis ◽  
Adaptive Strategies ◽  
Complex Dynamical Networks ◽  
Switching Topology ◽  
Adaptive Synchronization ◽  
Dynamical Networks ◽  
Local Lipschitz Condition ◽  
Synchronous State ◽  
Coupling Strengths

This paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the synchronous state, even though only one node is informed by the synchronous state via introducing decentralized adaptive strategies to the coupling strengths and feedback gains. Finally, some numerical simulations are worked out to illustrate the analytical results.

scholarly journals Pinning-Like Adaptive Consensus for Networked Mobile Agents with Heterogeneous Nonlinear Dynamics

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Chengjie Xu ◽  
Yanwei Wang ◽  
Hong Zhang ◽  
Xiaoqi Zhou
Keyword(s):  
Nonlinear Dynamics ◽  
Adaptive Control ◽  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Mobile Agents ◽  
Pinning Control ◽  
Adaptive Strategy ◽  
Global Information ◽  
First Order ◽  
Coupling Strengths

This paper investigates the adaptive consensus for networked mobile agents with heterogeneous nonlinear dynamics. Using tools from matrix, graph, and Lyapunov stability theories, sufficient consensus conditions are obtained under adaptive control protocols for both first-order and second-order cases. We design an adaptive strategy on the coupling strengths, which can guarantee that the consensus conditions do not require any global information except a connection assumption. The obtained results are also extended to networked mobile agents with identical nonlinear dynamics via adaptive pinning control. Finally, numerical simulations are presented to illustrate the theoretical findings.

scholarly journals Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Bo Liu ◽  
Jiahui Bai ◽  
Yue Zhao ◽  
Chao Liu ◽  
Xuemin Yan ◽  
...  
Keyword(s):  
Adaptive Strategy ◽  
Second Order ◽  
Complex Dynamical Networks ◽  
Time Varying ◽  
Sampled Data ◽  
Dynamical Networks ◽  
Coupling Strengths ◽  
Simulation Results ◽  
Group Synchronization ◽  
The Given

This paper studies the adaptive group synchronization of second-order nonlinear complex dynamical networks with sampled-data and time-varying delays by designing a new adaptive strategy to feedback gains and coupling strengths. According to Lyapunov stability properties, it is shown that the agents of subgroups can converge the given synchronous states, respectively, under some conditions on the sampled period. Moreover, some simulation results are given.

scholarly journals Model reference adaptive synchronization in integration complex dynamical networks

2009 ◽  
Vol 58 (10) ◽  
pp. 6809
Author(s):  
Luo Qun ◽  
Gao Ya ◽  
Qi Ya-Nan ◽  
Wu Tong ◽  
Xu Huan ◽  
...  
Keyword(s):  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Dynamical Networks ◽  
Model Reference ◽  
Model Reference Adaptive

scholarly journals Finite-Time Synchronization of Complex Dynamical Networks with Nondelayed and Delayed Coupling by Continuous Function Controller

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Xie Chengrong ◽  
Xing Yu ◽  
Xia Qing ◽  
Dongbing Tong ◽  
Yuhua Xu
Keyword(s):  
Continuous Function ◽  
Numerical Simulations ◽  
Finite Time ◽  
Time Synchronization ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Delayed Coupling ◽  
Special Case

This paper investigates the finite-time synchronization of complex dynamical networks with nondelayed and delayed coupling. By designing a simple continuous function controller, sufficient criteria for finite-time synchronization of dynamical networks with nondelayed and delayed coupling are obtained. As a special case, the continuous function controller designed in this paper may be the simplest and easy to implement for the finite-time synchronization of dynamical networks without delay. Finally, numerical simulations are given to verify the effectiveness of the conclusions presented in this paper.

scholarly journals Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Shi Miao ◽  
Li Junmin
Keyword(s):  
Neutral Type ◽  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Synchronization Control ◽  
Nonlinear Functions ◽  
Error Norm ◽  
Dynamical Networks ◽  
Derivative Coupling ◽  
Time Varying Parameters ◽  
Type Coupling

Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time-varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach.

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