Stabilization of a Differential-Difference System of Delay Type

Abstract

For a linear autonomous differential-difference system with commensurate delays, algorithms for constructing controllers that provide asymptotic, finite-time, or complete stabilization of this system are substantiated. A distinctive feature of the proposed approach is that it does not require a priori information about the location of the roots of the characteristic quasipolynomial of the original system. The results are illustrated with examples.