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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| Published in | European journal of control Vol. 37; pp. 63 - 69 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Elsevier Ltd
01.09.2017
Elsevier Limited |
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| Abstract | 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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| AbstractList | 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. |
| Author | Yu, Tianqiu |
| Author_xml | – sequence: 1 givenname: Tianqiu surname: Yu fullname: Yu, Tianqiu email: tianqiuyu1982@163.com organization: School of Mathematical Sciences, Heilongjiang University, 74 Xuefu Street, Harbin, Heilongjiang 150080, P. R.China |
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| Cites_doi | 10.1112/plms/pdn048 10.1016/j.jfranklin.2014.09.001 10.1109/TAC.2014.2309016 10.1109/TAC.2006.880781 10.1016/j.sysconle.2010.09.001 10.1109/TAC.2005.860365 10.1016/j.sysconle.2011.09.001 10.1016/j.sysconle.2011.06.007 10.1016/j.sysconle.2015.02.002 10.1109/9.1276 |
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| Copyright | 2017 European Control Association Copyright Elsevier Limited 2017 |
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| DOI | 10.1016/j.ejcon.2017.05.008 |
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| Keywords | Coprime factorization Quadratically invariant Simultaneous stabilization Time-varying linear system |
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| SubjectTerms | 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 |
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| Title | Simultaneously stabilizing controllers subject to QI subspace constraints |
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