中文摘要：

为进一步研究一类混沌系统的完全同步问题，针对非扩散Lorenz系统，以矩阵论和Lyapunov稳定性理论为基础，提出了一种线性双向耦合的全局混沌同步方案．通过选择适当的耦合参数，使得误差系统全局渐进稳定，即使得驱动系统和响应系统的状态达到同步．与传统的混沌同步方法相比，该方法结构简单，易于实现，其关键是耦合参数的选取．利用Mathematic软件进行数值仿真．理论分析和仿真结果都表明了该方法的可行性和有效性．

英文摘要：

The problem of complete synchronization for a kind of chaotic system is discussed. Considering the diffusionless Lorenz system, a linearly bidirectional coupled global chaos synchronization scheme is proposed based on the Lyapunov stabilization theory and matrix theory. By choosing proper coupling parameters, the error system is globally asymptotically stable, thus the state of the slave system can be synchronized with the master system. Compared with the conventional synchronization approaches, the proposed method is much simpler and effective because of its simple configuration and easy implementation. The keypoint is the selection of the coupling parameter. Both theoretical analysis and simulation result show the effectiveness and feasibility of the method.