scholarly journals Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Yu Miao ◽  
He Liang ◽  
Zhao Haiyun ◽  
Chen Zhigang ◽  
Yi Junyan
Keyword(s):  
Controller Design ◽  
Sufficient Conditions ◽  
Adaptive Controller ◽  
Adaptive Synchronization ◽  
Complex Dynamical Network ◽  
Analysis And Design ◽  
Dynamical Network ◽  
Coupling Parameters ◽  
The Individual ◽  
Switching Communication Topologies

This paper is devoted to the study of synchronization problems in uncertain dynamical networks with time-delayed nodes and coupling delays. First, a complex dynamical network model with time-delayed nodes and coupling delays is given. Second, for a complex dynamical network with known or unknown but bounded nonlinear couplings, an adaptive controller is designed, which can ensure that the state of a dynamical network asymptotically synchronizes at the individual node state locally or globally in an arbitrary specified network. Then, the Lyapunov-Krasovskii stability theory is employed to estimate the network coupling parameters. The main results provide sufficient conditions for synchronization under local or global circumstances, respectively. Finally, two typical examples are given, using the M-G system as the nodes of the ring dynamical network and second-order nodes in the dynamical network with time-varying communication delays and switching communication topologies, which illustrate the effectiveness of the proposed controller design methods.

scholarly journals Adaptive synchronization in united complex dynamical network with multi-links

2008 ◽  
Vol 57 (4) ◽  
pp. 2081
Author(s):  
Gao Yang ◽  
Li Li-Xiang ◽  
Peng Hai-Peng ◽  
Yang Yi-Xian ◽  
Zhang Xiao-Hong
Keyword(s):  
Adaptive Synchronization ◽  
Complex Dynamical Network ◽  
Dynamical Network

Pinning adaptive synchronization of complex dynamical network with multi-links

2012 ◽  
Vol 69 (4) ◽  
pp. 1813-1824 ◽  
Author(s):  
Qiyang Hu ◽  
Haipeng Peng ◽  
Yunge Wang ◽  
Zhirui Hu ◽  
Yixian Yang
Keyword(s):  
Adaptive Synchronization ◽  
Complex Dynamical Network ◽  
Dynamical Network

Weighted Internal Model Control-Proportional Integral Derivative Control Scheme Via Fractional Gradient Descent Algorithm

2020 ◽  
Vol 142 (12) ◽  
Author(s):  
Shivam Jain ◽  
Yogesh V. Hote
Keyword(s):  
Internal Model ◽  
Gradient Descent ◽  
Controller Design ◽  
Convex Combination ◽  
Adaptive Controller ◽  
Internal Model Control ◽  
Model Control ◽  
Gradient Descent Algorithm ◽  
Individual Candidate ◽  
The Individual

Abstract An adaptive controller design technique based on internal model control (IMC) scheme is proposed in this paper. Multiple IMC controllers having different values of filter time constants and exhibiting widely different performance are combined via weight update rule. The weight update rule, formulated via convex combination of integral and fractional order gradient descent algorithms, assigns time varying weights to individual candidate controllers to obtain an enhanced performance over the individual candidate controllers. The beauty of the proposed technique is that it employs the simplicity of one degree-of-freedom (1DOF) IMC structure to achieve an improved performance over existing 2DOF control schemes. The efficacy of the proposed technique is demonstrated via three illustrative examples and via experimental validation on the hardware setup of dc servosystem. An extensive comparative analysis in terms of simulation plots and performance indices offers a testimony to the effectiveness of the proposed scheme.

scholarly journals Criterion for Unbounded Synchronous Region in Complex Networks

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Jin Zhou
Keyword(s):  
Complex Networks ◽  
Function Method ◽  
Sufficient Conditions ◽  
Positive Definite ◽  
Complex Dynamical Network ◽  
Stability Function ◽  
Coupling Matrix ◽  
Dynamical Network ◽  
General Complex ◽  
Necessary And Sufficient

Synchronization of complex networks has been extensively studied in many fields, where intensive efforts have been devoted to the understanding of its mechanisms. As for discriminating network synchronizability by Master Stability Function method, a dilemma usually encountered is that we have no prior knowledge of the network type that the synchronous region belongs to. In this paper, we investigate a sufficient condition for a general complex dynamical network in the absence of control. A main result is that, when the coupling strength is sufficiently strong, the dynamical network achieves synchronization provided that the symmetric part of the inner-coupling matrix is positive definite. According to our results, synchronous region of the network with positive definite inner-coupling matrix belongs to the unbounded one, and then the eigenvalue of the outer-coupling matrix nearest 0 can be used for judging synchronizability. Even though we cannot gain the necessary and sufficient conditions for synchronizing a network so far, our results constitute a first step toward a better understanding of network synchronization.

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