Three definitions and three theorems of Lyapunov function were put forward, and then these definitions and theorems were illustrated with some examples. Finally, under the generalized Hurwitz condition, the "three-step method" was put forward to construct Lyapunov function of nonlinear system.% 给出了关于李雅普诺夫函数的3个定义和3个定理,举例说明了所得定义和定理的应用,并给出了利用广义霍维茨条件构造非线性系统李雅普诺夫函数的“三步法”。
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