Finite Stabilization and Finite Spectrum Assignmentby a Single Controller Based on Incomplete Measurements for Linear Systems of the NeutralType

For a linear autonomous differential-difference system of the neutral type, the existence criterion is proved and a method is proposed for designing an observed output feedback controller providing the closed-loop system with finite stabilization (solution of the problem of complete \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0 $$\end{document}-controllability) and a finite predetermined spectrum. This makes the closed-loop system exponentially stable. The constructiveness of the presented results is illustrated by an example.