Control Design for Linear Strictly Metzlerian Descriptor Systems

The main purpose of the paper is to propose necessary modifications of structural constraint conditions which allow to design static output control, or full state control, for linear strictly Metzlerian descriptor systems. Formulated in sense of the second Lyapunov method, associated structures of linear matrix inequalities are outlined to possess admissible closed-loop system properties. The design technique is eligible for Metzlerian system structures, guaranteeing stabilising effect by adjustment of diagonal linear matrix variables in the design procedure.