Аннотация:An approach is proposed to constructing a digital controller that stabilizes a continuous-time switched linear system with commensurate delays in control under slow switchings. The approach to stabilization consistently includes the construction of a switched continuousdiscrete-time closed-loop system with a digital controller, the transition to its discrete-time model, represented in the form of a switched system with modes of different orders, simultaneous stabilization of the subsystems of the resulting discrete-time model, and calculation of a delay time that ensures the stability of the original switched system closed by the controller found.