Simultaneous Stabilization of a Family of Linear DynamicPlants

The paper deals with one pressing problem of modern control theory, namely, the problem of simultaneous stabilization of a finite family of linear dynamic plants, i.e., the problem of constructing a single controller that ensures the stabilization of each plant in the family. In the general statement, the problem of simultaneous stabilization is quite challenging and currently does not have an exhaustive solution. Within the framework of the considered problem, the article proposes a classification of known methods for simultaneous stabilization of finite families of linear dynamic plants and presents new approaches to the construction of a common stabilizer.