UNIVERSAL CONSTRUCTION OF CONTROL LYAPUNOV FUNCTIONS FOR LINEAR SYSTEMS

摘要

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.