Stability control of fractional chaotic systems based on a simple Lyapunov function
- School of Mathematics and Statistics, Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan university of Science and Engineering, Zigong 643000, China.
- School of Mathematics and Statistics, Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things, Sichuan university of Science and Engineering, Zigong 643000, China.
- School of Economic and Management, Northwest University, Xi'an 710069, China.
In this paper the stabilization of fractional-order chaotic systems and a new property of fractional derivatives are studied. Then we propose a new fractional-order extension of Lyapunov direct method and a control method based on a simple Lyapunov candidate function. The proposed control method can be applied to the stabilization of fractional-order chaotic and hyperchaotic systems. This control method is simple, universal, and theoretically rigorous. Numerical simulations are given for three fractional-order chaotic (or hyperchaotic) systems to verify the effectiveness and the universality of the proposed control method.
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Tianzeng Li, Yu Wang, Hongmei Li, Stability control of fractional chaotic systems based on a simple Lyapunov function, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4876--4889
Li Tianzeng, Wang Yu, Li Hongmei, Stability control of fractional chaotic systems based on a simple Lyapunov function. J. Nonlinear Sci. Appl. (2017); 10(9):4876--4889
Li, Tianzeng, Wang, Yu, Li, Hongmei. "Stability control of fractional chaotic systems based on a simple Lyapunov function." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4876--4889
- Lyapunov function
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