期刊
PRAMANA-JOURNAL OF PHYSICS
卷 85, 期 1, 页码 91-104出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-014-0880-9
关键词
Fractional order; memristor circuit; Hopf bifurcation; chaos control
资金
- National Natural Science Funds of China [50925727, 61403115, 61374135]
- National Defense Advanced Research Project Grant [C1120110004]
- Chinese Ministry of Education [313018]
- Anhui Provincial Science and Technology Foundation of China [1301022036]
- Anhui University [KJJQ1102]
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 theoremproposed 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.
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