摘要
讨论了一种具有三维自治常微分方程组形式的新的类Chen系统的基本动力行为,运用非线性系统理论和Routh-Hurwitz定理分别对系统平衡点的稳定性进行了研究,得到了相关的定理,同时采用Lyapunov函数的方法在理论上证明了同步方法的有效性,获得了相应的自适应控制器,最后通过数值示例进行了仿真,验证了文中论述的正确性.
In this paper, we analyze a three-dimensional differential system derived from the Chen system and the basic dynamical behaviors, and studied the stability of the equilibrium point of this system using the nonlinear system theory and Routh-Hurwitz theorem, also obttained the corresponding theorems. At the same time, Using the method of Lyapunov function, we obtain the corresponding adaptive controller of this system. Finally, we also give verification for the discussion in this paper by numerical simulation.
出处
《陕西科技大学学报（自然科学版）》
2008年第4期123-126,129,共5页
Journal of Shaanxi University of Science & Technology
