Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
752664 | Systems & Control Letters | 2010 | 8 Pages |
Abstract
Structured singular values and pseudospectra play an important role in assessing the properties of a linear system under structured perturbations. This paper discusses computational aspects of structured pseudospectra for structures that admit an eigenvalue minimization characterization, including the classes of real, skew-symmetric, Hermitian, and Hamiltonian perturbations. For all these structures we develop algorithms that require O(n2)O(n2) operations per grid point, combining the Schur decomposition with a Lanczos method. These algorithms form the basis of a graphical Matlab interface for plotting structured pseudospectra.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Michael Karow, Effrosyni Kokiopoulou, Daniel Kressner,