If you have problems with all files, try some "(pdf)". If that does not work, install Adobe Reader (e.g., the free version) or some other pdf reader and try again.
We will, hopefully, soon produce a paper of our generalization of Harsanyi's aggregation theorem (now a report). ("Utilitarianism" without assuming continuity or completeness.)
Bass and topological stable ranks of complex and real algebras of measures, functions and sequences
Kalle M. Mikkola and Amol J. Sasane.
48 pp., Complex Analysis and Operator Theory, Volume 4, Number 2, 401-448, DOI: 10.1007/s11785-009-0009-1
html + pdf (errata)
(pdf)
PID Controller Tuning Rules for Integrating Processes with Varying Time-Delays
Lasse Eriksson, Timo Oksanen and Kalle Mikkola.
Journal of the Franklin Institute, 346 (5): pp. 470-487, 2009. (html etc.)
Hankel and Toeplitz operators on nonseparable Hilbert spaces
Kalle M. Mikkola.
Annales Academiae Scientiarum Fennicae Mathematica, 34: pp. 109-129, 2009.
html + pdf (see also the report with further results, details and explanations)
Weakly coprime factorization and state-feedback stabilization of discrete-time systems
Kalle M. Mikkola.
Mathematics of Control, Signals, and Systems, 20 (4), pp. 321-350, 2008.
article
(pdf)
Fourier multipliers for L2 functions with values in nonseparable Hilbert spaces and operator-valued Hp boundary functions
Kalle M. Mikkola.
Annales Academiae Scientiarum Fennicae Mathematica, 33: pp. 121-130, 2008.
html+pdf
Weakly coprime factorization and continuous-time systems
Kalle M. Mikkola.
IMA Journal of Mathematical Control and Information, 25 (4): pp. 515-546, 2008. doi:10.1093/imamci/dnn011
html+pdf pdf
A spectrally minimal realization formula for H-infinity(D)
Kalle M. Mikkola and Amol J. Sasane.
Complex Analysis and Operator Theory, 1 (4), pp. 621-628, 2007. doi 10.1007/s11785-007-0021-2
html+pdf
Tolokonnikov's Lemma for real H∞
and the real disc algebra
Kalle M. Mikkola and Amol J. Sasane.
Complex Analysis and Operator Theory, 1 (3), pp. 439-446, 2007.
html+pdf
The Hilbert-Schmidt property of feedback operators
Ruth F. Curtain, Kalle M. Mikkola and Amol J. Sasane.
Journal of Mathematical Analysis and Applications,
329 (2), pp. 1145-1160, 2007.
html+pdf
(pdf).
Coprime factorization and dynamic stabilization of transfer functions
Kalle M. Mikkola.
SIAM Journal on Control and Optimization, 45 (6), pp. 1988-2010, 2007.
pdf
(pdf)
State-Feedback Stabilization of Well-Posed Linear Systems
Kalle M. Mikkola.
Integral Equations and Operator Theory
55 (2), pp. 249-271, 2006.
article
(pdf)
(ps)
Characterization of Transfer Functions of
Pritchard–Salamon or Other Realizations with
a Bounded Input or Output Operator
Kalle M. Mikkola.
Integral Equations and Operator Theory
54 (3), pp. 427-440, 2006.
article
(pdf)
(ps)
State-Space Formulas for the Nehari--Takagi Problem for Nonexponentially Stable Infinite-Dimensional Systems
Joseph A. Ball, Kalle M. Mikkola, Amol J. Sasane.
SIAM Journal on Control and Optimization
44 (2), pp. 531-563, 2005.
abstract and links
pdf
ps
Optimal state feedback
and stabilizing compensators are real when data is real
Kalle M. Mikkola.
Proceedings of the European Control Conference (ECC2007).
The LQ-optimal control is weakly coprime
Kalle M. Mikkola.
Proceedings of MTNS2006.
Coprime factorizations and stabilizability of infinite-dimensional linear systems
Kalle M. Mikkola.
Proceedings of CDC-ECC2005. slides conference paper
(These results show how to stabilize WPLSs (stabilization, exponential stabilization, etc., of systems, not merely of transfer functions).
Moreover, several equivalences between the problems solved in earlier papers are established.
I recommend the slides unless you want more details from the paper. Also a newer two-paper manuscript with additional results exists, but I had no time to finish it.
This contains new results over the MTNS2004 paper below and was called
"Coprime factorizations and stabilization of infinite-dimensional linear systems" in some sources.)
Coprime factorizations and stabilizability of infinite-dimensional linear systems
Kalle M. Mikkola and Olof J. Staffans*.
Proceedings of MTNS2004 (CDROM).
Riccati equations and optimal control for infinite-dimensional linear systems
Kalle M. Mikkola and Olof J. Staffans*.
Proceedings of MTNS2004 (CDROM).
A Riccati equation approach to the standard infinite-dimensional H-infinity problem
Kalle M. Mikkola and Olof J. Staffans*.
Mathematical Theory of Networks and Systems (MTNS2002; CDROM).
*) The research on these articles was carried by me. Due to my obligations elsewhere the presentations at these conferences were delivered by Olof Staffans. The last two contain summaries of parts of my thesis. Moreover, "Fourier multipliers ..." is mostly contained in my thesis (but better) unlike the other papers, whose results were produced in 2003 to 2007.
Types of systems: Well-posed linear systems (Salamon-Weiss systems or abstract linear systems), regular linear systems and some other less and more general linear, mainly time-invariant systems, continuous-time or discrete-time.
Introduction: Non-experts may read the introduction to my thesis to get some idea on my main subject, infinite-dimensional systems and control theory. Technically the proofs typically use functional analysis and algebra with some real and harmonic analysis and function theory (of vector- or operator-valued functions, usually on arbitrary Hilbert spaces). A more general and elementary introduction on control theory for laymen is given in Wikipedia.