研究含不稳定子系统的多平衡点二维线性时不变切换系统的稳定性和镇定性问题.首先,在每一子系统仅有唯一焦点或中心、不同子系统的平衡点互异的情形下,确定含所有子系统平衡点的唯一特定区域,据此给出系统区域稳定的概念;然后,基于区域稳定的定义,利用解析法得到系统全局区域渐近稳定的简单判据,并设计了全局区域渐近镇定控制器及其算法.最后,通过数值仿真算例表明了所得结果的有效性和易操作性. In this paper, the stability and the stability of two-dimensional linear time invariant switching systems with multi-equilibrium points are studied.First, in each sub-system, there is only a single focus or center, and the balance points of different sub-systems are different Then the concept of system area stability is given. Then, based on the definition of area stability, a simple criterion for asymptotic stability of the system global area is obtained by using analytic method. Global region asymptotic stabilization controller and its algorithm.Finally, the numerical simulation shows the validity and the operability of the results obtained.