研究了具有多时滞线性切换系统的稳定性及其反馈镇定问题,利用完备性条件、矩阵分解与二次Lyapunov泛函,给出了多时滞切换系统渐近稳定的充分条件和切换律设计方法.在此基础上,研究了这类系统的镇定控制问题,设计了保证系统时滞独立渐近镇定的控制器. The stability and feedback stabilization of linear switched systems with multiple delays are studied. The sufficient conditions and the switching law design method for the asymptotic stability of switched systems with multiple delays are given by using the completeness conditions, matrix factorization and quadratic Lyapunov functional. On this basis, we study the problem of stabilization control for such systems and design a controller that guarantees independent asymptotic stabilization of the system delay.