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Periodic descriptor systems: Solvability and conditionability

delete1999-01-01
delete31
PRE
AI
J
J. Sreedhar *
P
Paul Van Dooren
DOI:10.1109/9.746256delete
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Abstract

Abstract

En 中文
The authors consider discrete-time linear periodic descriptor systems and study the concepts of solvability and conditionability, introduced by Luenberger. They prove that solvability is equivalent to conditionability, just as in the time-invariant case. We give a characterization of solvability/conditionability in terms of a cyclic matrix: pencil and, furthermore, propose a simple test,ia the periodic Schur decomposition to check for either property. This could lead to further systematic study of these systems.
Keywords:
descriptor systems
periodic systems

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

No organization information available