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Conditions for Strong Stabilizabilities of n-Dimensional Systems

Authors
  • Ying, Jiang Qian1
  • 1 Gifu University, Division of Regional Policy, Faculty of Regional Studies, 1-1 Yanagido, Gifu, 501, Japan , Gifu
Type
Published Article
Journal
Multidimensional Systems and Signal Processing
Publisher
Kluwer Academic Publishers
Publication Date
Apr 01, 1998
Volume
9
Issue
2
Pages
125–148
Identifiers
DOI: 10.1023/A:1008226120181
Source
Springer Nature
Keywords
License
Yellow

Abstract

This paper presents two computational criteria concerning the strong stabilizabilities of SISO (single-input single-output) n-D shift-invariant systems. The first one is an alternative necessary and sufficient condition for an n-D system to be stabilizable by a stable complex controller, which is an explicitly computable geometric equivalent to the topological one recently derived by Shiva Shankar. The second one is a necessary and sufficient condition for the stabilizability by a stable real controller, which can be viewed as a generalization of the well-known Youla's parity interlacing property for the 1-D case. Furthermore, related prolems for computational testing of the criteria are summarized and some basic ideas on potential solution methods based on the cylindrical algebraic decomposition of algebraic varieties are outlined.

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