On the computation of the fundamental subspaces for descriptor systems
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This is an Author's Original Manuscript of an article published by Taylor & Francis in the International Journal of Control on 12/02/2016 available online at http://www.tandfonline.com/10.1080/00207179.2015.1135510
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.
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