Exponential H∞ synchronization and anti-synchronization of delayed discrete-time complex-valued neural networks with uncertainties

K. Sri Raja Priyanka, G. Soundararajan, Ardak Kashkynbayev, G. Nagamani

Research output: Contribution to journalArticlepeer-review

Abstract

This paper investigates the problem of exponential synchronization and anti-synchronization for uncertain discrete-time neural networks (NNs) having time-varying delays with H∞ performance in complex domain. An output-feedback controller is utilized not only to guarantee the synchronization criteria between the addressed discrete-time complex-valued neural networks (CVNNs) but also to reduce the effect of external disturbance. In order to assure the anti-synchronization criteria with H∞ performance for the proposed CVNNs, we have introduced the output-feedback controller by anti-synchronization error analysis. With the help of Lyapunov–Krasovskii functional (LKF), some linear matrix inequality (LMI) based sufficient conditions are derived for both synchronization and anti-synchronization criteria which can be validated through YALMIP toolbox in MATLAB software. At last, a numerical simulation result is provided to verify the correctness of the established theoretical results.
Original languageEnglish
Pages (from-to)301-321
Number of pages21
JournalMathematics and Computers in Simulation
Volume207
DOIs
Publication statusPublished - May 1 2023

Keywords

  • Anti-synchronization
  • Complex-valued neural networks
  • Linear matrix inequality
  • Lyapunov–Krasovskii functional
  • Output-feedback control
  • Synchronization

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