Structural decomposition of linear singular systems: the single-input and single-output case

In this paper, we present a structural decomposition for general single-input and single-output linear singular systems. Such a decomposition has a distinct feature of capturing and displaying all the structural properties, such as the .nite and in.nite zero structures and redundant dynamics, of the given system. It is expected to be a powerful tool in solving control problems for singular systems, such as H2 and H∞ control, model reduction and disturbance decoupling problems, to name a few. c © 2002 Elsevier Science B.V. All rights reserved.