• Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/085/01/0091-0104

    • Keywords

       

      Fractional order; memristor circuit; Hopf bifurcation; chaos control.

    • Abstract

       

      Dynamics of fractional-order memristor circuit system and its control are investigated in this paper. With the help of stability theory of fractional-order systems, stability of its equilibrium points is analysed. Then, the chaotic behaviours are validated using phase portraits, the Lyapunov exponents and bifurcation diagrams with varying parameters. Furthermore, some conditions ensuring Hopf bifurcation with varying fractional orders and parameters are determined, respectively. By using a stabilization theorem proposed newly for a class of nonlinear systems, linear feedback controller is designed to stabilize the fractional-order system and the corresponding stabilization criterion is presented. Numerical simulations are given to illustrate and verify the effectiveness of our analysis results.

    • Author Affiliations

       

      Liping Chen1 Yigang He1 Xiao Lv2 Ranchao Wu3

      1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
      2. Chongqing Special Equipment Inspection and Research Institute, Chongqing 401121, China
      3. School of Mathematics, Anhui University, Hefei 230039, China
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.