Finite Stabilization and Finite Spectrum Assignment by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral Type

For a linear autonomous differential-difference system of the neutral type, the existencecriterion is proved and a method is proposed for designing an observed output feedback controllerproviding the closed-loop system with finite stabilization (solution of the problem of complete \(0\) -controllability) and a finite predeterminedspectrum. This makes the closed-loop system exponentially stable. The constructiveness of thepresented results is illustrated by an example.