We consider output and state stabilization problems for switchable linear systems under various assumptions on the switching rules. For the solution of these problems, we suggest to use the simultaneous stabilization method.

Рассматриваются задачи стабилизации по выходу и по состоянию для переключаемых линейных систем при различных предположениях относительно законов переключения. Для решения этих задач предлагается использовать метод одновременной стабилизации.

We consider the state stabilization problem for a linear stationary plant whose parameters and dynamic order can change jumpwise in the course of operation, which leads to changes in its mathematical model. We assume that the set of all possible mathematical models corresponding to the plant is finite. To solve this problem, we suggest to use the simultaneous superstabilization method and the dynamic order extension method.