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

IEEE Access

Sabarathinam Srinivasan¹  Nallappan Gunasekaran²  Guisheng Zhai²  Qiang Yu³ 

[1] Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli, India;Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama, Japan;School of Mathematics and Computer Science, Shanxi Normal University, Linfen, China;

关键词: Chua’s circuits;    Lyapunov stability;    linear matrix inequality (LMI);    memristor;    sampled-data control;   

DOI  :  10.1109/ACCESS.2021.3054653

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown