An RNN-Based Algorithm for Decentralized-Partial-Consensus Constrained Optimization

This technical note proposes a decentralized-partial-consensus optimization (DPCO) problem with inequality constraints. The partial-consensus matrix originating from the Laplacian matrix is constructed to tackle the partial-consensus constraints. A continuous-time algorithm based on multiple interco...

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Vydáno v:IEEE transaction on neural networks and learning systems Ročník 34; číslo 1; s. 534 - 542
Hlavní autoři: Xia, Zicong, Liu, Yang, Qiu, Jianlong, Ruan, Qihua, Cao, Jinde
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States IEEE 01.01.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Algorithms
Constraints
Cost function
Decentralized-partial-consensus optimization (DPCO)
Learning systems
Neural networks
Neurodynamics
nonsmooth analysis
Optimization
Optimization methods
partial-consensus matrix
Recurrent neural networks
recurrent neural networks (RNNs)
Task analysis
ISSN:2162-237X, 2162-2388, 2162-2388
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Shrnutí:This technical note proposes a decentralized-partial-consensus optimization (DPCO) problem with inequality constraints. The partial-consensus matrix originating from the Laplacian matrix is constructed to tackle the partial-consensus constraints. A continuous-time algorithm based on multiple interconnected recurrent neural networks (RNNs) is derived to solve the optimization problem. In addition, based on nonsmooth analysis and Lyapunov theory, the convergence of continuous-time algorithm is further proved. Finally, several examples demonstrate the effectiveness of main results.
Bibliografie:ObjectType-Article-1
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ISSN:2162-237X
2162-2388
2162-2388
DOI:10.1109/TNNLS.2021.3098668