Distributed Optimization and Learning
A Control-Theoretic Perspective
- 1st Edition - July 18, 2024
- Authors: Zhongguo Li, Zhengtao Ding
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 2 1 6 3 6 - 7
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 2 1 6 3 7 - 4
Distributed Optimization and Learning: A Control-Theoretic Perspective illustrates the underlying principles of distributed optimization and learning. The book presents a systemati… Read more
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Request a sales quoteDistributed Optimization and Learning: A Control-Theoretic Perspective illustrates the underlying principles of distributed optimization and learning. The book presents a systematic and self-contained description of distributed optimization and learning algorithms from a control-theoretic perspective. It focuses on exploring control-theoretic approaches and how those approaches can be utilized to solve distributed optimization and learning problems over network-connected, multi-agent systems. As there are strong links between optimization and learning, this book provides a unified platform for understanding distributed optimization and learning algorithms for different purposes.
- Provides a series of the latest results, including but not limited to, distributed cooperative and competitive optimization, machine learning, and optimal resource allocation
- Presents the most recent advances in theory and applications of distributed optimization and machine learning, including insightful connections to traditional control techniques
- Offers numerical and simulation results in each chapter in order to reflect engineering practice and demonstrate the main focus of developed analysis and synthesis approaches
Researchers, industrial practitioners, graduate students in optimization, control engineering, data sciences, machine learning, mechatronics, and applied mathematics, Mathematicians and engineers working on optimisation, learning and control systems, 3rd/4th-year undergraduate students with interests in multi-agent system optimization and control, robotics and machine learning
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- Biography
- Zhongguo Li
- Zhengtao Ding
- Preface
- Part I: Fundamental concepts and algorithms
- Chapter 1: Introduction to distributed optimization and learning
- Abstract
- 1.1. Background
- 1.2. Literature review
- 1.3. Book organization
- Bibliography
- Chapter 2: Control perspective to single agent optimization
- Abstract
- 2.1. Unconstrained optimization
- 2.2. Set constrained optimization
- 2.3. Optimization with affine constraints
- 2.4. Discrete-time control perspective to optimization
- Bibliography
- Chapter 3: Distributed frameworks: Graphs, consensus, optimization, and learning
- Abstract
- 3.1. Centralized networks: Structures and limitations
- 3.2. Centralized optimization and learning
- 3.3. Graph theory
- 3.4. Fundamental consensus algorithms
- 3.5. Preliminary lemmas
- Bibliography
- Chapter 4: Distributed unconstrained optimization
- Abstract
- 4.1. Introduction to distributed unconstrained optimization
- 4.2. Problem formulation
- 4.3. Algorithm design and convergence analysis
- Bibliography
- Chapter 5: Distributed constrained optimization for resource allocation
- Abstract
- 5.1. Introduction
- 5.2. Problem formulation
- 5.3. Algorithm design and convergence analysis
- Bibliography
- Chapter 6: Non-cooperative optimization
- Abstract
- 6.1. Nash equilibrium problem
- 6.2. Game formulation on networks
- 6.3. Distributed gossip-based algorithm design
- 6.4. Convergence analysis
- 6.5. Simulation results
- Bibliography
- Part II: Advanced algorithms and applications
- Chapter 7: Output regulation to time-varying optimization
- Abstract
- 7.1. Introduction
- 7.2. Problem formulation
- 7.3. Preliminaries
- 7.4. Distributed Optimization Algorithm I
- 7.5. Distributed Optimization Algorithm II
- 7.6. Simulation studies
- 7.7. Summary
- Bibliography
- Chapter 8: Adaptive approach to optimization
- Abstract
- 8.1. Adaptive preference formulation for cooperative multi-objective resource allocation
- 8.2. Adaptive again design for non-cooperative Nash equilibrium seeking
- Bibliography
- Chapter 9: Fixed-time control to optimization
- Abstract
- 9.1. Time-varying multi-objective optimization
- 9.2. Fixed-time Nash equilibrium searching
- Bibliography
- Chapter 10: Surrogate-assisted algorithms to distributed optimization
- Abstract
- 10.1. Introduction
- 10.2. Problem formulation
- 10.3. Main results
- 10.4. Simulation study
- 10.5. Summary
- Bibliography
- Chapter 11: Discrete-time algorithms to supervised learning
- Abstract
- 11.1. Introduction
- 11.2. Problem formulation and algorithm development
- 11.3. Performance analysis
- 11.4. Simulation and discussion
- 11.5. Summary
- Bibliography
- Chapter 12: Game theory-based distributed algorithm for electricity market
- Abstract
- 12.1. Introduction
- 12.2. Problem formulation
- 12.3. Distributed Nash equilibrium seeking algorithm
- 12.4. Case studies
- 12.5. Summary
- Bibliography
- Bibliography
- Bibliography
- Index
- No. of pages: 350
- Language: English
- Edition: 1
- Published: July 18, 2024
- Imprint: Academic Press
- Paperback ISBN: 9780443216367
- eBook ISBN: 9780443216374
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