Consensus with GR Nodes

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In course

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Description

This lecture covers the topic of consensus with GR nodes in networked control systems. The instructor explains the concept of condensation digraphs, properties of C(G), and the main result related to consensus with GR nodes. The lecture delves into the theorem stating the conditions under which a digraph with row-stochastic adjacency matrix A achieves consensus. Various examples and remarks are provided to illustrate the theoretical concepts discussed.

Instructor

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Official source

Ontological neighbourhood

Mathematics

Discrete mathematics: Graph theory

Related lectures (29)

https://mediaspace.epfl.ch/media/0_gtyz5l8d

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In course

DEMO: do eu dolor

Sunt ea duis nulla id dolore esse eu est nulla anim. Exercitation incididunt id sint officia amet sit aliquip nisi aliquip do. Lorem do sunt sit proident.

Ontological neighbourhood

Mathematics

Discrete mathematics: Graph theory

Instructor

laborum elit

Related lectures (29)

Convergence of Adjacency Matrix: Spectral Properties and Consensus Theorem

Explores the convergence of adjacency matrix powers and consensus theorem for primitive and stochastic matrices, emphasizing spectral properties and networked control systems.

Networked Control Systems: Properties and Connectivity

Explores properties of matrices, irreducibility, and graph connectivity in networked control systems.

Networked Control Systems: Laplacian Matrix and Consensus

Explores the Laplacian matrix and consensus in networked control systems.

Laplacian Matrix: Properties and Examples

Explores the Laplacian matrix, time-varying consensus theorems, and balanced graphs in networked control systems.

Consensus Theorem for Communication Networks

Explores the consensus theorem for communication networks and the implications of various consensus properties in networked control systems.