Decentralized blocking zeros and the decentralized strong stabilization problem

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dc.citation.epage1918en_US
dc.citation.issueNumber11en_US
dc.citation.spage1905en_US
dc.citation.volumeNumber40en_US
dc.contributor.authorÜnyelioğlu, K. A.en_US
dc.contributor.authorÖzgüler, A. B.en_US
dc.contributor.authorÖzgüner, Ü.en_US
dc.date.accessioned2016-02-08T10:52:01Z
dc.date.available2016-02-08T10:52:01Z
dc.date.issued1995en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThis paper is concerned with a new system theoretic concept, decentralized blocking zeros, and its applications in the design of decentralized controllers for linear time-invariant finite-dimensional systems. The concept of decentralized blocking zeros is a generalization of its centralized counterpart to multichannel systems under decentralized control. Decentralized blocking zeros are defined as the common blocking zeros of the main diagonal transfer matrices and various complementary transfer matrices of a given plant. As an application of this concept, we consider the decentralized strong stabilization problem (DSSP) where the objective is to stabilize a plant using a stable decentralized controller. It is shown that a parity interlacing property should be satisfied among the real unstable poles and real unstable decentralized blocking zeros of the plant for the DSSP to be solvable. That parity interlacing property is also sufficient for the solution of the DSSP for a large class of plants satisfying a certain connectivity condition. The DSSP is exploited in the solution of a special decentralized simultaneous stabilization problem, called the decentralized concurrent stabilization problem (DCSP). Various applications of the DCSP in the design of controllers for large-scale systems are also discussed.en_US
dc.identifier.doi10.1109/9.471211en_US
dc.identifier.issn0018-9286
dc.identifier.urihttp://hdl.handle.net/11693/25899
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/9.471211en_US
dc.source.titleIEEE Transactions on Automatic Controlen_US
dc.subjectControl equipmenten_US
dc.subjectControl system analysisen_US
dc.subjectControl system synthesisen_US
dc.subjectDecentralized controlen_US
dc.subjectLarge scale systemsen_US
dc.subjectMatrix algebraen_US
dc.subjectPoles and zerosen_US
dc.subjectProblem solvingen_US
dc.subjectSystem stabilityen_US
dc.subjectDecentralized blocking zerosen_US
dc.subjectDecentralized strong stabilization problem (DSSP)en_US
dc.subjectLinear time invariant finite dimensional systemsen_US
dc.subjectMain diagonal transfer matricesen_US
dc.subjectParity interlacing propertyen_US
dc.subjectSystem theoryen_US
dc.titleDecentralized blocking zeros and the decentralized strong stabilization problemen_US
dc.typeArticleen_US
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