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对阶次小于1的分数阶系统提出了基于Lyapunov方程的系统稳定性判定理论. 将该理论应用于分数阶混沌系统的同步，实现了未知参数的分数阶Lorenz混沌系统的自适应同步. 仿真结果证实了该理论的正确性.
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关键词:
- 分数阶混沌系统 /
- 同步 /
- Lyapunov方程 /
- 自适应
This paper advances a theory of stability identification based on Lyapunov equation for fractional system whose order is not higher than 1. The theory is successfully applied to synchronize fractional Lorenz chaotic systems with uncertain parameters. Numerical simulation certifies validity of the theory.-
Keywords:
- fractional chaotic system /
- synchronizing /
- Lyapunov equation /
- adaptive
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中国物理学会期刊
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