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Duality and Approximation Methods for Cooperative Optimization and Control.
Annotation
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Berlin :
Logos Verlag Berlin,
2014.
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| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Intro; 1 Introduction; 1.1 Motivation and Focus; 1.2 Contributions and Organization; 2 Polyhedral Approximation Methods for Cooperative Optimization; 2.1 Introduction; 2.2 Distributed Algorithms in Peer-to-Peer Networks; 2.2.1 Communication Network Model; 2.2.2 Distributed Algorithms; 2.2.3 Complexity Notions; 2.3 The Cutting-Plane Consensus Algorithm; 2.3.1 General Problem Formulation; 2.3.2 Unique Solution Linear Programming; 2.3.3 The Algorithm Definition; 2.3.4 Technical Analysis; 2.4 Convex Inequality Constraints; 2.4.1 Problem Formulation; 2.4.2 Semidefinite Constraints.
- 2.4.3 Linear Constraints2.4.4 Application Example: Position Estimation in Wireless Sensor Networks; 2.5 Robust Optimization with Uncertain Constraints; 2.5.1 Problem Formulation; 2.5.2 Efficiently Solvable Problems; 2.5.3 Computational Study: Robust Linear Programming; 2.6 Conclusions; 3 Dual Cutting-Plane and Trajectory Exchange Optimization; 3.1 Introduction; 3.2 A Motivating Problem: Distributed Cooperative Model Predictive Control; 3.2.1 Problem Formulation; 3.2.2 Dual Semi-Infinite Problem Representation; 3.3 Revisiting the Richards and How Algorithm.
- 3.4 Distributed Nonlinear Dantzig-Wolfe Decomposition3.4.1 Distributed Constraint Generation; 3.4.2 Linear Programming Dual Interpretation; 3.4.3 CPC-based Trajectory Exchange Method; 3.5 Application Example: Distributed Microgrid Control; 3.6 Conclusions; 4 Duality and Network Theory in Cooperative Control; 4.1 Introduction; 4.2 Preliminaries; 4.2.1 Algebraic Graph Theory; 4.2.2 Network Theory; 4.2.3 Equilibrium Independent Passivity; 4.3 Duality in Passivity-based Cooperative Control; 4.3.1 The Plant Level; 4.3.2 The Control Level; 4.3.3 The Closed-Loop Perspective.
- 4.4 Application Example: Optimal Distribution Control4.5 Conclusions; 5 Clustering in Dynamical Networks; 5.1 Introduction; 5.2 Constrained Flows & Network Clustering; 5.2.1 A Primal/Dual and Saddle-Point Perspective; 5.2.2 Saddle-Point Problem and Network Clustering; 5.3 Clustering in Dynamical Networks; 5.3.1 A Dynamical Model for Clustering; 5.3.2 Clustering Analysis and Convergence; 5.3.3 Application Examples; 5.4 Hierarchical Clustering Using a Saddle-Point Analysis; 5.4.1 Combinatorial Conditions for Clustering; 5.4.2 A Hierarchical Clustering Algorithm.
- 5.4.3 Application Example: Structural Analysis of Power Networks5.5 Conclusions; 6 Conclusions and Outlook; 6.1 Conclusions; 6.2 Outlook; A Convex Analysis and Optimization Theory; B Dynamical Systems and Control Theory; C Graph Theory.