State Agreement for Continuous-Time Coupled Nonlinear Systems

By Zhiyun Lin, Bruce A. Francis, Manfredi Maggiore. 2007

527 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

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Citations in the corpus

Effects of Delay in Multi-Agent Consensus and Oscillator Synchronization (2010, result): “This result has also been presented in [19], [29], but we”
Synchronization of Coupled Reaction-Diffusion Neural Networks with Time-Varying Delays via Pinning-Impulsive Controller (2013, background): “Synchronization in complex dynamical networks with diffusive coupling is realized via sufficient information exchange among the nodes’ interconnection [18], [19].”
On the Critical Coupling for Kuramoto Oscillators (2010, unknown): “…implicit, and explicit estimates of the critical coupling strength K critical for both the on-set as well as the ultimate stage of synchronization have been derived in the vast literature on the Kuramoto model [33, 44, 2, 43, 20, 34, 22, 37, 48, 14, 29, 16, 42, 19, 49, 38, 3, 35, 9, 50, 8, 24, 26].”
Synchronization in complex networks of phase oscillators: A survey (2014, background): “In summary, we state the following result, which follows from the analysis of nonlinear consensus protocols , see (Lin et al., 2007, Theorem 3.6 and 3.7) and (Moreau, 2005, Theorems 1 and 2) for continuous and discrete-time results.”
Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators (2009, methodology): “4 to classic Kuramoto oscillators:) Statements 1) and 2) can be reduced to the Kuramoto result found in [22] and Theorem 1 in [24].”
On robust control algorithms for nonlinear network consensus protocols (2008, background): “3 satisfies the subtangentiality condition of [12].”
Consensus in networked multi-agent systems via sampled control: Switching topology case (2009, background): “In [8], two problems were considered: the state agreement problem for coupled nonlinear differential equations and the rendezvous problem for kinematic point-mass mobile robots.”
Robust Consensus Controller Design for Nonlinear Relative Degree Two Multi-Agent Systems With Communication Constraints (2011, background): “Consensus problems for higher order agent models with more complex dynamics are usually based on linear dynamics, e.g., [11]–[13], relative degree one outputs, e.g., [2], or state feedback, e.g., [13]–[ 16 ].”
Consensus in Directed Networks of Agents With Nonlinear Dynamics (2011, result): “Under the assumption that the vector fields satisfy a subtangentiality condition, it was proved in [ 23 ] that agents can reach consensus if and only if the network is connected sufficiently frequently over time.”
Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies (2009, methodology): “(52) Therefore, Assumption A3 given in Section 4 is not needed in the study of state agreement (referring to Lin et al. (2007)).”