Stability Analysis via Projections and Eigen Distribution in Half-Planes and Disks

Research output: Contribution to journalConference articlepeer-review

Abstract

The main objective of this paper is to develop higher order iterative methods for computing projections into invariant subspaces of a non-singular matrix. These projections can be used to determine the number of matrix eigenvalues in a given sector of the complex plane without actually computing any eigenvalue. Some of these methods are derived from applying the Newton method to simple polynomial equations with known zeros. A special emphasis is placed on computing the hermitian eigendecomposition where matrix inverse free algorithms are presented. The main results are based on computing roots of the identity matrix which commute with the given matrix. Simulations and numerical evaluation of some of the algorithms are also established.

Original languageEnglish (US)
Pages (from-to)2738-2742
Number of pages5
JournalProceedings of the American Control Conference
Volume3
StatePublished - Nov 6 2003
Event2003 American Control Conference - Denver, CO, United States
Duration: Jun 4 2003Jun 6 2003

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