Sufficient conditions for the existence of a common stabilizer for a family of linear nonstationary plants
O. N. Bobyleva, В. В. Фомичев, A. S. Fursov · Differential Equations · 2012
We consider the problem on the existence of a common stabilizer for a finite family of continuous linear scalar nonstationary plants. To solve the problem, we suggest to use a topological approach based on finding a common stabilizer in the form of a convex combination of stabilizers for the individual plants and on an application of well-known assertions about the properties of sets on simplices.