Separation of eigenvalues and applications to systems theory

dc.contributor.advisorShieh, Leang-San
dc.contributor.committeeMemberLee, Kwang Y.
dc.contributor.committeeMemberHuang, J. C.
dc.creatorChen, Zhenxiang
dc.description.abstractThis thesis presents a method for the separation of eigenvalues of a system matrix relative to rectangles, circles, or sectors in either the X-plane for continuous-time systems or the z-plane for discrete-time systems. Also, it is concerned with the block diagonalization and the block- triangularization of a system matrix into various submatrices which contain the eigenvalues of the system matrix lying within specified domains in a complex plane. The generalized matrix sign function of a system map in a matrix bilinear form is used for the development. The proposed methods are suitable for the analysis and design of large-scale continuous-time and discrete-time systems having multiple time scale structures.
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.titleSeparation of eigenvalues and applications to systems theory
dc.type.genreThesis College of Engineering Engineering, Department of Engineering of Houston of Science


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