Synchronization in Complex Networks of Nonlinear Dynamical Systems

By Chai Wah Wu. 2008

511 citations recorded by the source corpus.

Subfields: Computer Networks and Communications

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Citations in the corpus

An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, neutral): “Specifically, this article reviews the recent research results 2 in the following directions, which are not independent but actually may have overlapping to some extent: 1.”
Exponential Synchronization of Linearly Coupled Neural Networks With Impulsive Disturbances (2011, background): “Definition 3 ([36]): The impulsive dynamical network (3) is said to be globally exponentially synchronized if there exist an η > 0, T > 0, and M0 > 0 such that for any initial values φi (s) (i = 1, 2, .”
Distributed adaptive control for synchronization of unknown nonlinear networked systems (2010, methodology): “Pinning control for directed graph topologies was studied by Lu, Li, and Rong (2010), and Wu (2007).”
Manufacturing Consent (2015, result): “This is similar to the models of synchronization in natural systems [35].”
Coordination in multiagent systems and Laplacian spectra of digraphs (2009, background): “For the case of directed graphs, different generalizations of the algebraic connectivity were proposed, including the second smallest real part of the Laplacian eigenvalues [31], the second smallest modulus of the Laplacian eigenvalues, and the second smallest eigenvalue of the symmetric part (L+L)/”
Observer-Based Adaptive Backstepping Consensus Tracking Control for High-Order Nonlinear Semi-Strict-Feedback Multiagent Systems (2016, background): “For a connected graph, all nonzero eigenvalues of its Laplacian matrix are positive, and 0 is a simple eigenvalue [40].”
Distributed Adaptive Tracking Control for Synchronization of Unknown Networked Lagrangian Systems (2011, methodology): “In particular, the use of the graph theory and the matrix theory produced many interesting results, such as those in [1], [3], [4], [6], [8], and [27], to name a few.”
Leader‐following control for multiple inertial agents (2011, background): “1 (Wu [31], Qu [30]) Let L ∈ Rn×n be strictly diagonally dominant or irreducibly diagonally dominant.”
Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy (2012, background): “Synchronization in dynamical networks is realized via a sufficient information exchange among the nodes’ interconnections [8], [14], [15], which makes the final synchronous state difficult to predict.”
Constructing consensus controllers for networks with identical general linear agents (2010, result): “In particular, with some algebra similar to that of ([15, 30, 31]), we can express the dynamics of the global relative vectors as”
Neural Network-Based Adaptive Leader-Following Consensus Control for a Class of Nonlinear Multiagent State-Delay Systems (2017, background): “Supporting Lemmas Lemma 1 [31]: An undirected graph G is connected if and only if its Laplacian is irreducible.”
Synchronization of Networks of Nonidentical Euler-Lagrange Systems With Uncertain Parameters and Communication Delays (2011, background): “For a literature review see [1]–[3] and references therein.”
Adaptive consensus with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity (2013, background): “For details about the synchronization of nonlinear complex networks, we refer readers to [18].”