A complex-valued projection neural network for constrained optimization of real functions in complex variables

Songchuan Zhang, Youshen Xia, Jun Wang

Research output: Contribution to journalArticlepeer-review

79 Citations (Scopus)

Abstract

In this paper, we present a complex-valued projection neural network for solving constrained convex optimization problems of real functions with complex variables, as an extension of real-valued projection neural networks. Theoretically, by developing results on complex-valued optimization techniques, we prove that the complex-valued projection neural network is globally stable and convergent to the optimal solution. Obtained results are completely established in the complex domain and thus significantly generalize existing results of the real-valued projection neural networks. Numerical simulations are presented to confirm the obtained results and effectiveness of the proposed complex-valued projection neural network.

Original languageEnglish
Article number7152951
Pages (from-to)3227-3238
Number of pages12
JournalIEEE Transactions on Neural Networks and Learning Systems
Volume26
Issue number12
DOIs
Publication statusPublished - 1 Dec 2015
Externally publishedYes

Keywords

  • Complex-valued projection neural network
  • Constrained optimization with complex variables
  • Convergence analysis

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