Matrix Pencil Computations in Computer-Aided Control System Design: Theory, Algorithms and Software Tools

Some publications of the subproject:

Design and Analysis of Periodic Systems

The listings of publications are in reversed chronological order.

Submitted papers and work in progress

Computing Codimensions and Generic Canonical Forms for Generalized Matrix Products. (tentative title) Lars Karlsson, Daniel Kressner, and Bo Kågström. Work in progress.

Refereed journal publications and invited book chapters

A Numerical Evaluation of Solvers for the Periodic Riccati Differential Equation. Sergei Gusev, Stefan Johansson, Bo Kågström, Anton Shiriaev, and Andras Varga. BIT Numerical Mathematics (accepted), Feb. 2010. (pdf)
On solving periodic Riccati equations, Andras Varga, Numerical Linear Algebra with Applications, 15(9):809-835, 2008. (pdf)
Computing Periodic Deflating Subspaces Associated with a Specified Set of Eigenvalues, Robert Granat, Bo Kågström, and Daniel Kressner, BIT Numerical Mathematics, 47:763–791, 2007. (pdf)
Direct Eigenvalue Reordering in a Product of Matrices in Extended Periodic Real Schur Form, Robert Granat and Bo Kågström, SIAM J. Matrix Anal. and Appl., 28(1):285–300, 2006. (pdf)
Perturbation bounds for subspaces associated with periodic eigenproblems, Ji-guang Sun, Taiwanese Journal of Mathematics, 9, No.1, 17-38 (2005) . (pdf)
Backward perturbation analysis of the periodic discrete-time algebraic Riccati equation, Ji-guang Sun, SIAM J. Matrix Anal. Appl., 26 (2004), 1-19. (pdf)
Computing the Zeros of Periodic Descriptor Systems, Andras Varga and Paul Van Dooren, Systems and Control Letters, 50 (2003) 371-381. (pdf)

Refereed conference proceedings

Parallel Algorithms for Triangular Periodic Sylvester-type Matrix Equations, Per Andersson, Robert Granat, Isak Jonsson and Bo Kågström, In E.Luque et al, Euro-Par 2008 Parallel Processing - 14th International Euro-Par Conference, LNCS 5168 of Lecture Notes of Computer Science, pp. 780-789, Springer , 2008. (pdf)
MATLAB Tools for Solving Periodic Eigenvalue Problems, Robert Granat, Bo Kågström, and Daniel Kressner, In Proc. 3rd IFAC Workshop PSYCO’07, 2007 (CDROM, IFAC Publications). (pdf)
Comparing one-shot and multi-shot methods for solving periodic Riccati differential equations, Stefan Johansson, Bo Kågström, Anton Shiriaev, and Andars Varga, In Proc. 3rd IFAC Workshop on Periodic Systems, PSYCO’07, St. Petersburg, Russia, 2007 (CD-ROM, IFAC Publications). (pdf)
On computing minimal dynamic covers for periodic systems, Andras Varga, Proc. of European Control Conference, ECC'07, Kos, Greece, 2007. (pdf)
On computing minimal realizations of periodic descriptor systems, Andras Varga, In Proc. 3rd IFAC Workshop on Periodic Systems, PSYCO’07, St. Petersburg, Russia, 2007. (pdf)
An overview of recent developments in computational methods for periodic systems, Andras Varga, In Proc. 3rd IFAC Workshop on Periodic Systems, PSYCO’07, St. Petersburg, Russia, 2007. (pdf)
Reordering the Eigenvalues of a Periodic Matrix Pair with Applications in Control, Robert Granat, Bo Kågström, and Daniel Kressner, In Proc. 2006 IEEE Conference on Computer Aided Control Systems Design (CACSD), pages 25–30, 2006. (pdf)
On computing frequency-responses of periodic systems, Andras Varga, Mathematical Theory of Networks and Systems, MTNS2006, Kyoto, Japan, 2006. (pdf)
Computation of L-infinity norm of linear discrete-time periodic systems, Andras Varga, Mathematical Theory of Networks and Systems, MTNS2006, Kyoto, Japan, 2006. (pdf)
On solving periodic differential matrix equations with applications to periodic system norms computation, Andras Varga, Proc. of 44th IEEE Conference on Decision and Control, CDC'05, Seville, Spain, December 2005. (pdf)
On solving discrete-time periodic Riccati equations, Andras Varga, Proc. of 16th IFAC World Congress 2005, Prague, July 2005. (pdf).
Computation of generalized inverses of periodic systems, Andras Varga, Proc. of 43rd IEEE Conference on Decision and Control, CDC'04, Bahamas, December 2004. (pdf).
Computation of fault detection filters for periodic systems, Andras Varga, Proc. of 43rd IEEE Conference on Decision and Control, Bahamas, December 2004. (pdf).
Computation of Kronecker-like forms of periodic matrix pairs, Andras Varga, Mathematical Theory of Networks and Systems, MTNS2004, Katholieke Universiteit Leuven, July, 2004. (14 pages, pdf).

Technical reports and other publications

To be added?

Theses

Tools for Control System Design -Stratification of Matrix Pairs and Periodic Riccati Differential Equation Solvers, Stefan Johansson, PhD Thesis, UMINF 09.04, Dept. of Computing Science, Umeå University, Sweden, ISBN 978-91-7264-788-6, February 2009. (pdf)
Algorithms and Library Software for Periodic and Parallel Eigenvalue Reordering and Sylvester-Type Matrix Equations with Condition Estimation, Robert Granat, PhD Thesis, UMINF 07.21, Dept. of Computing Science, Umeå University, Sweden, ISBN 978-91-7264-410-6, November 2007. (pdf)