Block-decomposition and multi-stage eigenvalue-assignment

dc.contributor.advisorShieh, Leang-San
dc.contributor.committeeMemberLee, Kwang Y.
dc.contributor.committeeMemberHuang, J. C.
dc.creatorLin, Sung-Wei
dc.description.abstractA large-scale system often contains multi-modes of which the simulations and designs are extremely difficult. The large-scale system is usually block-decomposed into a system with either a block-trIangularized system map or a block-diagonalized system map so that the analysis and design of the system can easily be performed. In this thesis, a matrix sign function in conjunction with a geometric approach is utilized to construct the similarity transformation matrices for block-diagonalization and block-triangularization of a system map. Also, the methods to solve the Riccati-type and the Liapunov-type problems via the matrix sign function are described. Furthermore, the eigenvalue injector and the eigenvalue projector of a system map are defined. By utilizing the injector and the projector of a system map, the general properties of a similarity transformation matrix for block-diagonalization or block-triangularization of the system map are investigated. The relationship between block-decomposition and modal aggregation of a system map is discussed, and a multi-stage eigenvalue-assignment algorithm is derived for state feedback designs.
dc.description.departmentElectrical and Computer Engineering, Department of
dc.format.digitalOriginreformatted digital
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.subjectDecomposition (Mathematics)
dc.titleBlock-decomposition and multi-stage eigenvalue-assignment
dc.type.genreThesis College of Engineering Engineering, Department of Engineering of Houston of Science


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