Robust synchronization of a class of chaotic networks

Čelikovský, Sergej; Lynnyk, Volodymyr; Chen, Guanrong

doi:10.1016/j.jfranklin.2013.03.019

Cited by 33 publications

(3 citation statements)

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“…The associate editor coordinating the review of this manuscript and approving it for publication was Weiguo Xia . synchronization, the state variables of every system converge towards each other [2], [8].…”

Section: Introduction a State Of The Artmentioning

confidence: 98%

“…Due to the nature of the different complex networks, the interconnection between nodes have many different topological forms like ring, star, tree, etc. [2], [3].…”

Section: Introduction a State Of The Artmentioning

confidence: 99%

“…Extensive research of the identical (complete, full) synchronization of chaotic coupled systems was started by [5]. It was demonstrated that the necessary condition for synchronization is the presence of a spanning tree in the topological graph of the complex network [2], [6], [7]. In the identical…”

Section: Introduction a State Of The Artmentioning

confidence: 99%

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Approximate Synchronization of Complex Network Consisting of Nodes With Minimum-Phase Zero Dynamics and Uncertainties

Rehák

Lynnyk

2022

IEEE Access

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A synchronization algorithm of nonlinear complex networks composed of nonlinear nodes is designed. The main idea is to apply the exact feedback linearization of every node first, then applying methods for synchronization of linear complex networks. The nodes need not admit full exact feedback linearization, however, they are supposed to be minimum-phase systems. To achieve the synchronization of the observable parts of the nodes, an algorithm based on the convex optimization (to be specific, on linear matrix inequalities) is proposed. Then, it is demonstrated that, using the minimum-phase assumption, the non-observable part of the nodes is synchronized as well. The algorithm for synchronization of the observable parts of the nodes can be used to design a control law that is capable of maintaining stability in presence of certain variations of the control gain. Uncertainties in the parameters are also taken into account. Two examples illustrate the control design.INDEX TERMS Complex networks, nonlinear systems, linear matrix inequalities, robust control.

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Section: Introduction a State Of The Artmentioning

confidence: 98%

“…Due to the nature of the different complex networks, the interconnection between nodes have many different topological forms like ring, star, tree, etc. [2], [3].…”

Section: Introduction a State Of The Artmentioning

confidence: 99%