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Numerical Solution of Eigenvalue Problems for Alternating Matrix Polynomials and Their Application in Control Problems for Descriptor Systems
Peter Benner
Philip Losse
Volker Mehrmann
Matthias Voigt
出版
Max Planck Institute for Dynamics of Complex Technical Systems
, 2013
URL
http://books.google.com.hk/books?id=LTLxuQEACAAJ&hl=&source=gbs_api
註釋
Abstract: Numerical methods for eigenvalue problems associated to alternating matrix pencils and polynomials are discussed. These problems arise in a large number of control applications for differential-algebraic equations ranging from regular and singular linear-quadratic optimal and robust control to dissipativity checking. We present a survey of several of these applications and give a systematic overview over the theory and the numerical solution methods. Our solution concept is based throughout on the computation of eigenvalues and de flating subspaces of even matrix pencils. The unified approach allows to generalize and improve several techniques that are currently in use in systems and control.
