为了研究相平面中线性时不变混杂切换系统的渐近镇定问题,针对由于2个子系统不稳定的平衡点(焦点、结点、鞍点)类型互异而导致的3种特殊混杂切换系统,基于圆锥切换法则和相平面几何性质,通过设计不同的切换控制律,分别给出了判定系统渐近镇定的充分必要条件,从而完整解决了二阶线性时不变混杂切换系统的渐近镇定问题.数值仿真结果表明了该方法的有效性. In order to study the asymptotic stabilization problem of invariant hybrid switching systems in the phase space, aiming at the problem that three kinds of special hybrid switching systems due to the different types of unstable balance points (focus, node and saddle point) of the two subsystems, Conic switching law and phase plane geometric property. By designing different switching control laws, the necessary and sufficient conditions for the asymptotic stabilization of the decision system are given separately. As a result, the asymptotic stabilization of the second order linear invariant hybrid switching system is completely solved. Numerical simulation results show the effectiveness of the method.