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Chordal and factor-width decompositions for scalable semidefinite and polynomial optimization

  • Published:2021 Issue: Volume:52 Page:243-279
  • ISSN:1367-5788
  • Container-title:Annual Reviews in Control
  • language:en
  • Short-container-title:Annual Reviews in Control

Author:

Zheng YangORCID,Fantuzzi GiovanniORCID,Papachristodoulou AntonisORCID

Funder

Engineering and Physical Sciences Research Council

Publisher

Elsevier BV

Subject

Control and Systems Engineering,Software

Reference260 articles.

1. Positive semidefinite matrices with a given sparsity pattern;Agler;Linear Algebra and its Applications,1988

2. Optimization over structured subsets of positive semidefinite matrices via column generation;Ahmadi;Discrete Optimization,2017

3. Robust-to-dynamics optimization;Ahmadi,2018

4. Sum of squares basis pursuit with linear and second order cone programming;Ahmadi;Contemporary Mathematics,2017

5. Improving efficiency and scalability of sum of squares optimization: Recent advances and limitations;Ahmadi,2017

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2. Scalable Reliable Control for Cyber- Physical Microgrids Using Chordal Graph;2024 IEEE 13th Data Driven Control and Learning Systems Conference (DDCLS);2024-05-17

3. Structured, Reduced-Order $\mathcal{H}_{2}$-Conic Control;IEEE Transactions on Automatic Control;2024-02

4. Witnessing environment dimension through temporal correlations;Quantum;2024-01-10

5. Data-driven design of safe control for polynomial systems;European Journal of Control;2024-01
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