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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
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)
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