Frequency-Domain Analysis of Distributed Optimization: Fundamental Convergence Rate and Optimal Algorithm Synthesis

The design of optimization algorithms has long been a matter of art, and it calls for the systematic development of methods in which algorithms can be analyzed, designed, and benchmarked with regard to their key attributes such as efficiency, complexity, and robustness. This article answers this nee...

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Bibliographic Details
Published in:	IEEE transactions on automatic control Vol. 69; no. 12; pp. 8539 - 8554
Main Authors:	Zhang, Shiqi, Wu, Wuwei, Li, Zhongkui, Chen, Jie, Georgiou, Tryphon T.
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.12.2024 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Circle criterion Complexity Convergence Design optimization Distributed algorithms Distributed optimization Frequency analysis Frequency domain analysis frequency-domain methods gradient-based algorithms Heuristic algorithms Interpolation Nevanlinna–Pick interpolation Nonlinear control Optimal control Optimization robust and <named-content xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="LaTeX"> mathcal {H}_{\infty }</tex-math> </inline-formula> </named-content> control Robust control Stability criteria Subsystems Synthesis
ISSN:	0018-9286, 1558-2523
Online Access:	Get full text
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