Homogeneity-Based Finite-Time Stabilization of Linear Descriptor Systems

The homogeneity concept is extended to the area of descriptor systems. A homogeneity-based admissible control is designed for stabilization of linear descriptor systems in a finite time. The presented feedback homogenizes a linear system with a specified negative degree and stabilizes it in a finite time. The tuning procedure is formalized in LMI form. The theoretical results are supported by numerical simulations.