Finite Stabilization Based on Incomplete Measurements for notCompletely Controlled Systems of Neutral Type

For linear autonomous differential-difference systems of neutral type, a solution to the problem of finite stabilization is proposed based on measurements of the observed output signal. A method for designing a corresponding controller whose structure does not contain links with distributed delay has been developed, and a criterion for its existence has been proven. The constructiveness of the results is illustrated by an example. A distinctive feature of the work is the possibility of finite stabilization of a class of systems that do not have the property of complete $$0 $$ -controllability.