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

被引：13

作者：

Gunasekaran, Nallappan ^{[1
,2
]}

Srinivasan, Sabarathinam ^{[3
]}

Zhai, Guisheng ^{[1
]}

Yu, Qiang ^{[4
]}

机构：

[1] Shibaura Inst Technol, Dept Math Sci, Saitama 3378570, Japan

[2] Toyota Technol Inst, Dept Adv Sci & Technol, Computat Intelligence Lab, Nagoya, Aichi 4688511, Japan

[3] Bharathidasan Univ, Sch Phys, Ctr Nonlinear Dynam, Tiruchirappalli 620024, India

[4] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

来源：

IEEE ACCESS | 2021年 / 9卷

关键词：

Memristors; Time series analysis; Symmetric matrices; Switches; Mathematical model; Linear matrix inequalities; Voltage measurement; Chua’ s circuits; Lyapunov stability; linear matrix inequality (LMI); memristor; sampled-data control; DATA FUZZY CONTROL; NONLINEAR-SYSTEMS; CHAOTIC SYSTEMS; IMPLEMENTATION; STABILITY; NETWORKS;

D O I：

10.1109/ACCESS.2021.3054653

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：25648 / 25658

页数：11

共 55 条

[1] Discontinuity Induced Hopf and Neimark-Sacker Bifurcations in a Memristive Murali-Lakshmanan-Chua Circuit [J].