Universal construction of control Lyapunov functions for linear systems

作者：Cai, XS^*; Han, ZZ

来源：Latin American Applied Research, 2006, 36(1): 15-22.

• linear systems
• stabilization
• control Lyapunov functions

This paper develops a method by which control Lyapunov functions of linear systems can be constructed systematically. It proves that the method can provide all quadratic control Lyapunov functions for a given linear system. By using the control Lyapunov function a linear feedback is established to stabilize the linear system. Moreover, it can also assign poles of the closed-loop system in the position designed in advance.

• 出版日期2006-1
• 单位三明学院; 上海交通大学