中文摘要：

在分数阶动力系统稳定性问题的研究中，构造了实现分数阶系统混沌投影同步的非线性控制器，可以快速实现分数阶系统的投影同步控制，并给出了数学证明。以一个新的分数阶动力系统为例，简单分析了该系统的混沌特性，并对其进行投影同步控制。最后结合Adams-Bashforth-Moulton算法进行数值仿真，通过对误差系统的误差进行分析，结果表明，驱动系统和响应系统状态变量误差能在短时间内快速趋于零，表明了理论推导的正确性和所提出方案的有效性。

英文摘要：

In this paper, based on the theory of stability of the fractional -order dynamical system, the nonlinear controller which realizes chaotic projective synchronization of the fractional - order dynamical system was designed. As an example of a new fractional - order dynamical system, the chaotic characteristic was analyzed briefly and the projective synchronization control was researched. Finally, numerical simulation was carried out using Adams - Bash- forth - Mouhon arithmetic. The simulation analysis of the error system between driving and coupled system shows that the errors can become zero in short time. The numerical simulation shows the effectiveness of the theoretical analysis and the designed controller.