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Introduction to Averaging Dynamics over Networks.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Control and Information Sciences SeriesPublisher: Cham : Springer International Publishing AG, 2017Copyright date: ©2018Edition: 1st edDescription: 1 online resource (145 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319680224
Subject(s): Genre/Form: Additional physical formats: Print version:: Introduction to Averaging Dynamics over NetworksLOC classification:
  • TJ212-225
Online resources:
Contents:
Intro -- Preface -- Averaging Dynamics and Multi-agent Systems -- Aims and Scope -- Contents -- Contents -- 1 Graph Theory -- 1.1 Basic Definitions and Examples -- 1.2 Paths and Connectivity -- 1.3 Periodicity -- 1.4 Matrices and Eigenvalues -- 1.5 Examples of Graphs -- 1.5.1 Circulant Graphs -- 1.5.2 Product Graphs -- 1.5.3 Cayley Graphs -- 1.5.4 De Bruijn Graphs -- References -- 2 Averaging in Time-Invariant Networks -- 2.1 Rendezvous and Consensus -- 2.2 Averaging on Symmetric Regular Graphs -- 2.3 Stochastic Matrices and Averaging -- 2.4 Convergence Rate and Eigenvalues -- 2.5 Consensus Point -- 2.6 Stochastic Matrices Adapted to a Graph -- 2.7 Convergence Rate: Examples -- 2.8 Reversible Matrices -- References -- 3 Averaging in Time-Varying Networks -- 3.1 Time-Varying Updates: Uniform Connectivity -- 3.2 Time-Varying Updates: Cut-Balanced Interactions -- 3.3 Randomized Updates -- References -- 4 Performance and Robustness of Averaging Algorithms -- 4.1 A Deeper Analysis of the Convergence to Consensus -- 4.2 Rendezvous and Linear-Quadratic Control -- 4.3 Robustness Against Noise -- 4.4 Robustness Against Quantization Errors -- 4.5 Distributed Inference -- References -- 5 Averaging with Exogenous Inputs and Electrical Networks -- 5.1 Electrical Networks and Harmonic Functions -- 5.2 Effective Resistance in Electrical Networks -- 5.3 Averaging Dynamics with Stubborn Agents -- 5.4 Estimation from Relative Measurements -- References -- Index.
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Intro -- Preface -- Averaging Dynamics and Multi-agent Systems -- Aims and Scope -- Contents -- Contents -- 1 Graph Theory -- 1.1 Basic Definitions and Examples -- 1.2 Paths and Connectivity -- 1.3 Periodicity -- 1.4 Matrices and Eigenvalues -- 1.5 Examples of Graphs -- 1.5.1 Circulant Graphs -- 1.5.2 Product Graphs -- 1.5.3 Cayley Graphs -- 1.5.4 De Bruijn Graphs -- References -- 2 Averaging in Time-Invariant Networks -- 2.1 Rendezvous and Consensus -- 2.2 Averaging on Symmetric Regular Graphs -- 2.3 Stochastic Matrices and Averaging -- 2.4 Convergence Rate and Eigenvalues -- 2.5 Consensus Point -- 2.6 Stochastic Matrices Adapted to a Graph -- 2.7 Convergence Rate: Examples -- 2.8 Reversible Matrices -- References -- 3 Averaging in Time-Varying Networks -- 3.1 Time-Varying Updates: Uniform Connectivity -- 3.2 Time-Varying Updates: Cut-Balanced Interactions -- 3.3 Randomized Updates -- References -- 4 Performance and Robustness of Averaging Algorithms -- 4.1 A Deeper Analysis of the Convergence to Consensus -- 4.2 Rendezvous and Linear-Quadratic Control -- 4.3 Robustness Against Noise -- 4.4 Robustness Against Quantization Errors -- 4.5 Distributed Inference -- References -- 5 Averaging with Exogenous Inputs and Electrical Networks -- 5.1 Electrical Networks and Harmonic Functions -- 5.2 Effective Resistance in Electrical Networks -- 5.3 Averaging Dynamics with Stubborn Agents -- 5.4 Estimation from Relative Measurements -- References -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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