期刊
ADVANCES IN DIFFERENCE EQUATIONS
卷 -, 期 -, 页码 -出版社
SPRINGEROPEN
DOI: 10.1186/s13662-017-1459-9
关键词
fractional calculus; state feedback control; adaptive control; quadratic Lyapunov functions; fractional-order nonautonomous systems
资金
- 'Chunhui Plan' Cooperative Research for Ministry of Education [Z2016133]
- Scientific Research Foundation of the Education Department of Sichuan Province [16ZB0163, 17ZA0364]
- Key Scientific Research Fund Project of Xihua University [Z17124]
- National Natural Science Foundation of China [11402214]
- Open Research Fund of Key Laboratory of Automobile Engineering of Sichuan Province [szjj2016-017]
- Open Research Subject of Artificial Intelligence Key Laboratory of Sichuan Province [2017RYJ03]
- Open Research Fund of Key Laboratory of Automobile Measurement and Control & Safety of Sichuan Province [szjj2017-074]
- Open Research Fund of Key Laboratory of Numerical Simulation of Sichuan Province [2017KF004]
In this paper, we aim to solve the stabilization problem for a large class of fractional-order nonautonomous systems via linear state feedback control and adaptive control. By constructing quadratic Lyapunov functions and utilizing a new property for Caputo fractional derivative we derive some sufficient conditions for the global asymptotical stabilization of a class of fractional-order nonautonomous systems. We give two illustrative examples to validate the effectiveness of the theoretical results.
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