Common quadratic Lyapunov functions for third order systems
三阶系统族的共同二次Lyapunov函数

This paper considers the problem of finding a common quadratic Lyapunov function for a set of third order systems.Firstly,for a given stable third order system,the method to seek the set of quadratic Lyapunov functions is proposed,and then,a sufficient condition for a set of third order systems to share a common quadratic Lyapunov function is obtained. The proposed sufficient condition is easy to be constructed and applied.Finally,an example is given to verify the effectiveness of the obtained results.