On a sufficient condition for the existence of a common stabilizer for a family of dynamical systems
O. N. Bobyleva, В. В. Фомичев, A. S. Fursov · Differential Equations · 2011
We consider the problem on the existence of a common stabilizing controller for a finite family of linear vector dynamical systems. A sufficient condition, obtained on the basis of topological methods, is presented for the existence of a common stabilizer. Constructive approaches to the development of an algorithm for verifying this condition are indicated.