Computational methods for stabilization of descriptor systems

Abstract

The paper proposes numerically reliable computational methods for thestabilization of a linear descriptor system with or without simultaneous elimination of its impulsive behavior. Two basic stabilization approaches are discussed. The first approach relies on methods which represent generalizations of direct stabilization techniques for standard state-space systems. The second approach is based on a recursive generalized Schur algorithm for pole assignment. Both approaches are based exclusively on numerically reliable procedures and can serve for robust software implementations.