Simultaneous Stabilization of a Family of Linear Dynamic Plants

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