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PHD thesis

Spectral factorization for multivariable distributed parameter systems

Duration

since 1983

Keywords

spectral factorization, distributed parameter systems, symmetric extraction, Riccati equation, LQ-optimal control

Description

Study of spectral factors (existence) for multivariable distributed parameter systems. Analysis and numerical experiments for the symmetric extraction method of spectral factorization for such systems (scalar case).

Research unit(s)

Research theme(s)

Staff

Chairperson(s)
Frank CALLIER Leader 081/724932

Academic staff
Joseph WINKIN Professor 081/724910

Research staff
Jérémy DEHAYE Researcher

Publications (15)

Collective work contributions

2003
Spectral factorization by symmetric extraction for a vibrating string with low damping, in Proceedings of the 42nd Conference on Decision and Control, Maui, Hawaï (USA), pp. 1854-1859
Frank CALLIER, Joseph WINKIN
2002
Spectral factorization by symmetric extraction for semigroup state-space systems, in Proceedings of the 41st Conference on Decision and Control, Las Vegas (USA), pp. 4599-4604
Frank CALLIER, Joseph WINKIN
2000
Spectral factorization by symmetric extraction for distributed parameter systems, in Proceedings of the International Symposium on the Mathematical Theory of Networks and Systems (MTNS2000), volume CDrom
Frank CALLIER, Joseph WINKIN
1999
Spectral factorization of a spectral density with arbitrary delays, in Open problems in mathematical systems and control theory, volume Chapter 17, pp. 79-82
Frank CALLIER, Joseph WINKIN
1999
On spectral factorization by symmetric extraction for distributed parameter systems, in Proceedings of the 38th Conference on Decision and Control, pp. 1112-1117
Frank CALLIER, Joseph WINKIN
1998
Does the spectral factor depend continuously on the spectral density, in Proceedings of the International Symposium MTNS98, pp. 217-220
B. JACOB, Joseph WINKIN, H. ZWART

Papers

2005
Spectral factorization by symmetric extraction for distributed parameter systems, in SIAM Journal on Control and Optimization, volume 43, issue 4, pp. 1435-1466
Joseph WINKIN, Frank CALLIER, Birgit JACOB, Jonathan PARTINGTON
1999
The spectral factorization problem for multivariable distributed parameter systems, in Integral Equations and Operator Theory, volume 34, pp. 270-292
Frank CALLIER, Joseph WINKIN
1999
Continuity of the spectral factorization on a vertical strip, in Systems and Control Letters, volume 37, pp. 183-192
Birgit JACOB, Joseph WINKIN, Hans ZWART
1998
The spectral factorization problem for spectral densities with arbitrary delays, in Proceedings of the MMAR 98 Symposium, pp. 35-36
Frank CALLIER, Joseph WINKIN
1998
Spectral factorization for distributed parameter systems, in Proceedings of the 36th Conference on decision and Control (CDC), pp. 4406-4408
Frank CALLIER, Joseph WINKIN

Conference Proceedings

1999
On the computation of a partially stabilizing LQ-optimal gain by approximate spectral factorization, in Proceedings of the Symposium on Mathematical Theory of Networks and Systems MTNS98, pp. 105-108
Frank CALLIER, Laurence DUMORTIER
1997
Spectral Factorization and partially stabilizing LQ-optimal control for stabilizable semigroup systems, in Proceeding of the 4th European Control Conference, volume E, issue n 433
Frank CALLIER, Laurence DUMORTIER
1996
Linear-Quadratic optimal control with partial stabilization for stabilizable semigroup systems, in Proceedings of the 13th IFAC World Congress, volume C, pp. 265-270
Frank CALLIER, Laurence DUMORTIER

Research reports

2002
Spectral factorization by symmetric extraction for distributed parameter systems
Joseph WINKIN, Frank CALLIER, B. JACOB, J. PARTINGTON

Collaborations

  • Universität Dortmund, Fachbereich Mathematik
  • Université de Twente, Faculté de Mathématiques Appliquées
  • University of Leeds, School of Mathematics