Consensus Algorithms for Double-integrator Dynamics

By Wei Ren, R. Beard. 2008

529 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/067a3eb20e4f315f01069c0f54a8d73271cac438

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Zhongkui Li
2. Wei Ren
3. Xiangdong Liu
4. Guanrong Chen
5. S. E. Tuna
6. Z. Duan
7. Yongcan Cao
8. M. Fu

In Management Science and Operations Research

1. S. E. Tuna
2. Jorge Cortés
3. Zhongkui Li
4. M. Fu
5. Xiangdong Liu
6. Rodolphe Sepulchre
7. Luca Scardovi
8. Wei Ren

Citations in the corpus

• Distributed leaderless consensus algorithms for networked Euler–Lagrange systems (2009, methodology): “In our prior work (Ren 2007, 2008), LaSalle’s invariance principle combined with algebraic graph theory and Lyapunov theory is used to analyse consensus algorithms for double-integrator dynamics and rigid-body attitude dynamics with attitudes represented by Euler parameters.”
• Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols (2011, background): “nd switching topologies. A passivity-based design framework is proposed in [13] to achieve group coordination. The consensus problems for networks of double- and high-order integrators are studied in [14], [15], [16]. Readers are referred to the recent surveys [1], [2] for a relatively complete cove”
• Consensus in multi-agent systems: a review (2021, unknown): “The consensus algorithm for this dynamic model is expressed as (Ren and Beard 2008a) where a ij is the ( i , j ) entry in the weighted neighborhood matrix, and 𝛾 is the value of positive gain.”
• Synchronization in networks of identical linear systems (2008, result): “For instance, the results in the recent papers [15], [16] and [14] on synchronization of harmonic oscillators and double integrators, assume a time-invariant communication topology.”
• Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition (2013, unknown): “3, Ren and Beard (2005)).”
• On Consensus Algorithms for Double-Integrator Dynamics (2007, background): “A preliminary version of the work has appeared in [1].”
• Event-triggered communication and control of networked systems for multi-agent consensus (2017, background): “Theorem 3.13 ( Continuous Controller (Double-integrators) Ren, 2008a ) .”
• Conditions for Synchronizability in Arrays of Coupled Linear Systems (2008, background): “terms consensus or agreement can replace synchronization. See, for instance, [5]–[ 10 ].”