Dynamical Analysis and Sampled-Data Stabilization of Memristor-Based Chua's Circuits

Nallappan Gunasekaran, Sabarathinam Srinivasan, Guisheng Zhai, Qiang Yu

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, we investigate sampled-data stabilization of memristor nonlinearity in Chua's circuits. The system stability pertaining to its switching nonlinearity covers two situations of flux thresholds. Through the stability analysis, the multistability characteristic is proved by its periodic invariant stable line. Moreover, the dynamical features of the considered system are examined in details by numerical and corresponding simulated experiments. Several statistical and analytical characteristic methods are used to confirm the existence of chaotic attractors. With the help of Lyapunov stability theory, new sufficient conditions are formulated using the linear matrix inequality (LMI) method to ensure robust stability and stabilization of closed-loop systems. Finally, we present a numerical example to ascertain the validity of the theoretical results obtained.

Original languageEnglish
Article number9335967
Pages (from-to)25648-25658
Number of pages11
JournalIEEE Access
Volume9
DOIs
Publication statusPublished - 2021

Keywords

  • Chua's circuits
  • Lyapunov stability
  • linear matrix inequality (LMI)
  • memristor
  • sampled-data control

ASJC Scopus subject areas

  • Computer Science(all)
  • Materials Science(all)
  • Engineering(all)

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