运用中心流形和范式理论，研究了非线性扰动系统平衡点的稳定性和鲁棒性，给出了二阶系统平衡点稳定的充要条件和鲁棒稳定的几个充分条件 By using central manifold and paradigm theory, the stability and robustness of the equilibrium point of the nonlinear perturbation system are studied. Some sufficient and necessary conditions for the stability of the equilibrium point of the second order system and several sufficient conditions are given.