ROBUST STABILIZATION VIA STATE FEEDBACK FOR DESCRIPTOR SYSTEMS WITH UNCERTAINTIES IN THE DERIVATIVE MATRIX

摘要

This paper considers the robust stabilization problem for linear continuoustime descriptor systems with norm-bounded perturbations in matrix E. We show that if the problem has a solution, then the perturbations must not increase the rank of E.Under the assumption that the rank of E with uncertainties is a constant, the problem under consideration falls into two cases. For the first case, complete solution in terms of a necessary and sufficient condition is given for quadratic stabilization.For the other case, a necessary condition and a sufficient condition are presented.