On the computation of the fundamental subspaces for descriptor systems

In this paper, we investigate several theoretical and computational aspects of fundamental subspaces for linear time-invariant descriptor systems, which appear in the solution of many control and estimation problems. Different types of reachability and controllability for descriptor systems are desc...

Full description

Bibliographic Details
Main Authors: Kazantzidou, C., Ntogramatzidis, Lorenzo
Format: Journal Article
Published: Taylor & Francis 2016
Online Access:http://hdl.handle.net/20.500.11937/37146
Description
Summary:In this paper, we investigate several theoretical and computational aspects of fundamental subspaces for linear time-invariant descriptor systems, which appear in the solution of many control and estimation problems. Different types of reachability and controllability for descriptor systems are described and discussed. The Rosenbrock system matrix pencil is employed for the computation of supremal output-nulling subspaces and supremal output-nulling reachability subspaces for descriptor systems.