Paul Fuhrmann

2016

Reachability of a cascade of linear systems with communication delays

Verriest, E. I., Helmke, U. & Fuhrmann, P. A., 28 Jul 2016, 2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers, p. 4440-4445 6 p. 7525621. (Proceedings of the American Control Conference; vol. 2016-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

2015

Open loop control of higher order systems

Fuhrmann, P. A. & Helmke, U., 1 Jan 2015, In: Lecture Notes in Control and Information Sciences. 462

Research output: Contribution to journal › Article › peer-review

2013

Reachability, observability and strict equivalence of networks of linear systems

Fuhrmann, P. A. & Helmke, U., 1 Dec 2013, In: Mathematics of Control, Signals, and Systems. 25, 4, p. 437-471 35 p.

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

2011

Equivalence conditions for behaviors and the Kronecker canonical form

Fuhrmann, P. A. & Helmke, U., 1 Aug 2011, In: Mathematics of Control, Signals, and Systems. 22, 4, p. 267-293 27 p.

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

2010

A functional approach to the Stein equation

Fuhrmann, P. A., 1 Jul 2010, In: Linear Algebra and Its Applications. 432, 12, p. 3031-3071 41 p.

Research output: Contribution to journal › Article › peer-review

Open Access

12 Scopus citations

On tangential matrix interpolation

Fuhrmann, P. A., 30 Dec 2010, In: Linear Algebra and Its Applications. 433, 11-12, p. 2018-2059 42 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2 Scopus citations

On the elementary divisors of the Sylvester and Lyapunov maps

Fuhrmann, P. A. & Helmke, U., 1 May 2010, In: Linear Algebra and Its Applications. 432, 10, p. 2572-2588 17 p.

Research output: Contribution to journal › Article › peer-review

Open Access

1 Scopus citations

On the use of functional models in model reduction

Fuhrmann, P. A. & Helmke, U., 6 Apr 2010, In: Lecture Notes in Control and Information Sciences. 398, p. 177-187 11 p.

Research output: Contribution to journal › Article › peer-review

Tensored polynomial models

Fuhrmann, P. A. & Helmke, U., 15 Jan 2010, In: Linear Algebra and Its Applications. 432, 2-3, p. 678-721 44 p.

Research output: Contribution to journal › Article › peer-review

Open Access

4 Scopus citations

2008

Observer theory

Fuhrmann, P. A., 1 Jan 2008, In: Linear Algebra and Its Applications. 428, 1, p. 44-136 93 p.

Research output: Contribution to journal › Article › peer-review

Open Access

15 Scopus citations

2007

On the state of behaviors

Fuhrmann, P. A., Rapisarda, P. & Yamamoto, Y., 15 Jul 2007, In: Linear Algebra and Its Applications. 424, 2-3, p. 570-614 45 p.

Research output: Contribution to journal › Article › peer-review

Open Access

22 Scopus citations

Tensored polynomial models

Fuhrmann, P. A. & Helmke, U., 31 Oct 2007, Modeling, Estimation and Control: Festschrift in Honor of Giorgio Picci on the Occasion of his sixty-fifth Birthday. Chiuso, A., Pinzoni, S. & Ferrante, A. (eds.). p. 97-112 16 p. (Lecture Notes in Control and Information Sciences; vol. 364).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TENSORED POLYNOMIAL MODELS, THE SYLVESTER EQUATION AND MODEL REDUCTION

Fuhrmann, P. A. & Helmke, U., 1 Jan 2007, In: IFAC-PapersOnLine. 40, 20, p. 202-207 6 p.

Research output: Contribution to journal › Conference article › peer-review

2006

On duality in some problems of geometric control

Fuhrmann, P. A., 1 May 2006, In: Acta Applicandae Mathematicae. 91, 3, p. 207-251 45 p.

Research output: Contribution to journal › Review article › peer-review

5 Scopus citations

On observability subspaces

Fuhrmann, P. A. & Trumpf, J., 1 Oct 2006, In: International Journal of Control. 79, 10, p. 1157-1195 39 p.

Research output: Contribution to journal › Article › peer-review

Open Access

12 Scopus citations

2005

Autonomous subbehaviours and output nulling subspaces

Fuhrmann, P. A., 20 Nov 2005, In: International Journal of Control. 78, 17, p. 1378-1411 34 p.

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

2004

REFLECTIONS ON DUALITY IN THE FUNCTIONAL APPROACH TO GEOMETRIC CONTROL THEORY

Fuhrmann, P. A., 1 Jan 2004, In: IFAC-PapersOnLine. 37, 21, p. 115-116 2 p.

Research output: Contribution to journal › Conference article › peer-review

2003

A note on continuous behavior homomorphisms

Fuhrmann, P. A., 15 Aug 2003, In: Systems and Control Letters. 49, 5, p. 359-363 5 p.

Research output: Contribution to journal › Article › peer-review

Open Access

12 Scopus citations

Towards a compactification of the set of conditioned invariant subspaces

Trumpf, J., Helmke, U. & Fuhrmann, P. A., 15 Feb 2003, In: Systems and Control Letters. 48, 2, p. 101-111 11 p.

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

2002

A study of behaviors

Fuhrmann, P. A., 13 Oct 2002, In: Linear Algebra and Its Applications. 351-352, p. 303-380 78 p.

Research output: Contribution to journal › Article › peer-review

Open Access

41 Scopus citations

On a connection between spectral factorization and geometric control theory

Gombani, A. & Fuhrmann, P. A., 20 Jul 2002, In: International Journal of Control. 75, 11, p. 824-859 36 p.

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

2001

On behavior homomorphisms and system equivalence

Fuhrmann, P. A., 5 Oct 2001, In: Systems and Control Letters. 44, 2, p. 127-134 8 p.

Research output: Contribution to journal › Article › peer-review

Open Access

18 Scopus citations

On the parametrization of conditioned invariant subspaces and observer theory

Fuhrmann, P. A. & Helmke, U., 1 Aug 2001, In: Linear Algebra and Its Applications. 332-334, p. 265-353 89 p.

Research output: Contribution to journal › Article › peer-review

Open Access

26 Scopus citations

2000

Controllability of matrix eigenvalue algorithms: The inverse power method

Helmke, U. & Fuhrmann, P. A., 15 Sep 2000, In: Systems and Control Letters. 41, 1, p. 57-66 10 p.

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

On the Lyapunov equation, coinvariant subspaces and some problems related to spectral factorizations

Fuhrmann, P. A. & Gombani, A., 1 Jan 2000, In: International Journal of Control. 73, 12, p. 1129-1159 31 p.

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

1998

On a hardy space approach to the analysis of spectral factors

Fuhrmann, P. A. & Gombani, A., 1 Jan 1998, In: International Journal of Control. 71, 2, p. 277-357 81 p.

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Tangent spaces of rational matrix functions

Helmke, U. & Fuhrmann, P. A., 1 Mar 1998, In: Linear Algebra and Its Applications. 271, 1-3, p. 1-40 40 p.

Research output: Contribution to journal › Article › peer-review

Open Access

8 Scopus citations

1997

A homeomorphism between observable pairs and conditioned invariant subspaces

Fuhrmann, P. A. & Helmke, U., 1 Jan 1997, In: Systems and Control Letters. 30, 5, p. 217-223 7 p.

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Factorization theory for stable, discrete-time inner functions

Fuhrmann, P. A. & Hoffmann, J., 1 Jan 1997, In: Journal of Mathematical Systems, Estimation, and Control. 7, 4, p. 383-400 18 p.

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

On some uses of factorizations in linear system theory

Fuhrmann, P. A., 1 Jan 1997, In: Annual Reviews in Control. 21, p. 13-30 18 p.

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

1996

On balanced realizations of bounded real and positive real functions

Hoffmann, J. W. & Fuhrmann, P. A., 15 Sep 1996, In: Linear Algebra and Its Applications. 245, p. 107-146 40 p.

Research output: Contribution to journal › Article › peer-review

Open Access

8 Scopus citations

1995

On external spectral factors and geometric control

Gombani, A. & Fuhrmann, P. A., 1 Dec 1995, In: Proceedings of the IEEE Conference on Decision and Control. 3, p. 2735-2740 6 p.

Research output: Contribution to journal › Conference article › peer-review

1994

A duality theory for robust stabilization and model reduction

Fuhrmann, P. A., 1 Jan 1994, In: Linear Algebra and Its Applications. 203-204, C, p. 471-578 108 p.

Research output: Contribution to journal › Article › peer-review

Open Access

6 Scopus citations

On skew primeness of inner functions

Fuhrmann, P. A., 1 Jan 1994, In: Linear Algebra and Its Applications. 208-209, C, p. 523-537 15 p.

Research output: Contribution to journal › Article › peer-review

Open Access

1 Scopus citations

Preface

Antoulas, A. C., Fuhrmann, P. A., Hautus, M. L. J. & Yamamoto, Y., 1 Jan 1994, In: Linear Algebra and Its Applications. 203-204, C, p. 1-2 2 p.

Research output: Contribution to journal › Editorial

Open Access

Remarks on orthogonal polynomials and balanced realizations

Hoffmann, J. & Fuhrmann, P. A., 1 Jan 1994, In: Linear Algebra and Its Applications. 205-206, C, p. 741-776 36 p.

Research output: Contribution to journal › Article › peer-review

Open Access

1 Scopus citations

1993

A functional approach to LQG balancing

Fuhrmann, P. A., Fuhrmann, P. A. & Ober, R., 1 Jan 1993, In: International Journal of Control. 57, 3, p. 627-741 115 p.

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

1992

Functional models in linear algebra

Fuhrmann, P. A., 1 Jan 1992, In: Linear Algebra and Its Applications. 162-164, C, p. 107-151 45 p.

Research output: Contribution to journal › Article › peer-review

Open Access

6 Scopus citations

Stability theory for high order equations

Willems, J. C. & Fuhrmann, P. A., 1 Apr 1992, In: Linear Algebra and Its Applications. 167, C, p. 131-149 19 p.

Research output: Contribution to journal › Article › peer-review

Open Access

18 Scopus citations

1991

A polynomial approach to Hankel norm and balanced approximations

Fuhrmann, P. A., 15 Feb 1991, In: Linear Algebra and Its Applications. 146, C, p. 133-220 88 p.

Research output: Contribution to journal › Article › peer-review

Open Access

18 Scopus citations

1989

Bezoutians

Helmke, U. & Fuhrmann, P. A., 1 Jan 1989, In: Linear Algebra and Its Applications. 122-124, C, p. 1039-1097 59 p.

Research output: Contribution to journal › Article › peer-review

Open Access

72 Scopus citations

On Bezoutians, Van der Monde matrices, and the Lienard-Chipart stability criterion

Fuhrmann, P. A. & Datta, B. N., 1 Jan 1989, In: Linear Algebra and Its Applications. 120, C, p. 23-37 15 p.

Research output: Contribution to journal › Article › peer-review

Open Access

17 Scopus citations

Preface

Fuhrmann, P. A., Kimura, H. & Willems, J. C., 1 Jan 1989, In: Linear Algebra and Its Applications. 122-124, C, p. 1-2 2 p.

Research output: Contribution to journal › Editorial

Open Access

1986

Remarks on the inversion of Hankel matrices

Fuhrmann, P. A., 1 Jan 1986, In: Linear Algebra and Its Applications. 81, C, p. 89-104 16 p.

Research output: Contribution to journal › Article › peer-review

Open Access

11 Scopus citations

Towards a cell decomposition for rational functions

Fuhrmann, P. A. & Krishnaprasad, P. S., 1 Dec 1986, In: IMA Journal of Mathematical Control and Information. 3, 2-3, p. 137-150 14 p.

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

1985

Minimal factorizations of rational matrix functions in terms of polynomial models

Shamir, T. & Fuhrmann, P. A., 1 Jan 1985, In: Linear Algebra and Its Applications. 68, C, p. 67-91 25 p.

Research output: Contribution to journal › Article › peer-review

Open Access

1 Scopus citations

The algebraic Riccati equation - A polynomial approach

Fuhrmann, P. A., 1 Jan 1985, In: Systems and Control Letters. 5, 6, p. 369-376 8 p.

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

1984

On Hamiltonian rational transfer functions

Fuhrmann, P. A., 1 Jan 1984, In: Linear Algebra and Its Applications. 63, C, p. 1-93 93 p.

Research output: Contribution to journal › Article › peer-review

Open Access

10 Scopus citations

1983

A matrix Euclidean algorithm and matrix continued fraction expansions

Fuhrmann, P. A., 1 Jan 1983, In: Systems and Control Letters. 3, 5, p. 263-271 9 p.

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

On symmetric rational transfer functions

Fuhrmann, P. A., 1 Jan 1983, In: Linear Algebra and Its Applications. 50, C, p. 167-250 84 p.

Research output: Contribution to journal › Article › peer-review

Open Access

65 Scopus citations

Paul Fuhrmann

Research output

Search results