Simultaneously stabilizing controllers subject to QI subspace constraints

In this paper, we establish a necessary and sufficient condition for the existence of a simultaneously stabilizing controller in the given quadratically invariant (QI) subspace constraints for time-varying linear systems within the framework of nest algebra. Furthermore, based on the bicoprime facto...

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Bibliographic Details
Published inEuropean journal of control Vol. 37; pp. 63 - 69
Main Author Yu, Tianqiu
Format Journal Article
LanguageEnglish
Published Philadelphia Elsevier Ltd 01.09.2017
Elsevier Limited
Subjects
Algebra
Banach spaces
Control theory
Controllers
Coprime factorization
Economic models
Generalized linear models
Hilbert space
Invariants
Linear systems
Quadratically invariant
Simultaneous stabilization
Sparsity
Time-varying linear system
Coprime factorization
Quadratically invariant
Simultaneous stabilization
Time-varying linear system
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ISSN0947-3580
1435-5671
DOI10.1016/j.ejcon.2017.05.008

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Summary:In this paper, we establish a necessary and sufficient condition for the existence of a simultaneously stabilizing controller in the given quadratically invariant (QI) subspace constraints for time-varying linear systems within the framework of nest algebra. Furthermore, based on the bicoprime factorizations, a necessary and sufficient condition is derived for the existence of a stabilizing controller subject to QI subspace constraints. These results hold as well in the time-invariant case.
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ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2017.05.008