ANDREA GOMBANI

Research Interests: Identification and parametrization of stochastic linear systems, Robust Control.

CURRICULUM VITAE

WORKS AND PUBLICATIONS

Journals

[1] A.Gombani, M.Pavon., On the Hankel-norm approximation of linear stochastic systems, Systems and Control Letters, vol. 5 (1985) pp.283-288. 

[2] A.Gombani, M.Pavon, On approximate recursive prediction of stationary stochastic processes. Stochastics, vol.17,  1986, pp.125-143. 

[3] A.Gombani, Consistent Approximations of Linear Stochastic Models. SIAM J. on Control and Optimization, 27, 1989, 83-107. 

[4] A.Gombani, On approximate stochastic realizations, Mathematics of Control, Signals and Systems, Vol. 4, 1991.

[5] A.Gombani, M.Pavon, A general Hankel-norm approximation scheme for linear recursive filtering,Automatica, Vol 26, No. 1, pp 103-112,1990 

[6] A.Gombani, On the multivariable approximate stochastic realization problem, Stochstics and Stochastics Reports, vol 34, pp.1-27, 1991 

[7] Daniel Alpay, Laurent Baratchart and Andrea Gombani, On the differential structure of matrix--valued rational inner functions, Operator Theory: Advances and Applications, vol 73, pp 30-66, 1994

[8] A.Gombani, On relations between Schmidt pairs arising in robust control, Journal of Mathematical Systems, Estimation and Control,Vol 5, pp 189-202

[9] A.Gombani,, On the Schmidt pairs of Multivariable Hankel Operators and Robust Control, Linear Algebra and Applications , Vol 223/224, pp.243-265 (1995)

[10] P .A. Fuhrmann and A. Gombani, "On a Hardy space approach  to the analysis of spectral factors", International Journal of Control, 71, pp. 277-357, 1998.
 

[11] T. Björk,, B.J. Christensen, A. Gombani "Some Control Theoretic Aspects of Interest Rate Theory", Insurance, Mathematics & Economics , 22, pp. 17-23, 1998.

[12] T. Björk, A. Gombani, "Minimal realizations of interest rates", Finance and Stochastics, 3, pp. 413-432, 1999.

[13] A. Gombani, M.Olivi, "A new parametrization of rational inner functions of fixed degree: Schur parameters and realizations", Mathematics of Control, Signals and Systems, 13, pp. 156-177, 2000.

[14] P.A. Fuhrmann and A. Gombani "On the Lyapunov Equation, Coinvariant Subspaces and problems related to spectral factorization", International Journal of Control, 73, No.12, pp.1129-1159,2000. 

[15] A. Gombani and W. Runggaldier, "A filtering approach to pricing in multifactor term structure  models", International  Journal of Theoretical and Applied Finance. Vol 4, No.2, pp 303-320, 2001  (PS )

[16] A. Gombani and  P. A. Fuhrmann , "On a connection between spectral factorization and geometric control theory", International Journal of Control. (PS )

[17] A. Gombani, S. Jaschke and W. Runggaldier, "A filtered no arbitrage model for term structures from noisy data" Stochastic Processes and Applications, Vol 115, pp 381-400, 2005.

[18]    A. Gombani and Gy. Michaletzky, “On the Nevanlinna-Pick interpolation problem: analysis of the McMillan degree of the solutions”, Linear Algebra and Applications, 425, 486-517, 2007.

[19]    A. Gombani, S. Jaschke and W. Runggaldier, Consistent Price Systems for Subfiltrations, ESAIM: Probability and Statistics, 11, pp. 35-39, 2007.

[20]    L. Baratchart, P. Enqvist, A. Gombani and M. Olivi, Minimal symmetric Darlington synthesis, Mathematics of Control, Signals and Systems, 4, 283-311, 2007.


Proceedings, books and others

[1] A.Gombani, M.Pavon, B.Coppo, On Hankel-norm approximation of stationary increments processes, Modelling, Identification and Robust Control, C.I.Byrnes and A.Lindquist Eds, Elsevier Science Publisher B.V. (North Holland), 1986

[2] Ph.D. Thesis: Stochastic Model Reduction. Royal Institute of Technology, Stockholm, Sweden, September 1986.

[3] A.Gombani, M.Pavon Approximate Wiener-Kolmogorov filters. Analysis and Optimization of Systems, A. Bensoussan, J.L.Lions Eds. Springer Verlag, 1988

[4] A.Gombani, M.Pavon A Hankel-norm Approach to Approximate Recursive Estimation, Preprints of the 8th IFAC Symposium on Identification and System Parameter Estimation, August !988, Beijing China.

[5] Approximate stochastic models, Proceedings of the 27th IEEE Conference on Decision and Control, Austin, TX, December 1988.

[6] G. Di Masi, A.Gombani, On observability of chaotic systems: an example, Robust Control of Linear Systems and Nonlinear Control, MA.Kaashoek, J.H. van Schuppen, A.C.M.Ran Eds., Birkhäuser Boston, 489-496, 1990

[7] A.Gombani, C.Polini On approximate modeling of linear gaussian processes, New Directions in Time Series Analysis, Part II, P.Caines, J.Geweke, M. Taqqu Eds., 177-194, Springer-Verlag 1992.

[8] A.Gombani, On Balancing and Hankel Operators, Modeling, Estimation and Control of Systems with Uncertainty, G.B. Di Masi, A. Gombani, A. Kurzhanski Eds., Birkhäuser Boston, 1991

[9] A.Gombani, Stochastic realization for approximate modeling, to appear in Statistical Theory of Identification and Adaptive Control, L.Gerencser and P.E.Caines Eds., Springer-Verlag Lecture Notes on Control, 1991.

[10] A.Gombani, On some results by Fuhrmann on Hankel Operators, Proceedings MTNS, Kobe, Japan, 1991.

[11] A.Gombani, On the geometry of external spectral factors and the Riccati Inequality, Proceedings of the IFAC World Congress, Sidney 1993.

[12] A.Gombani, On reduced order controllers, Proceedings MTNS, Regensburg, Germany, 1994

[13] L. Baratchart, A. Gombani, A parametrization of external spectral factors, to appear in the Preprints of the 10th IFAC Symposium on Identification and System Parameter Estimation, Copenhagen, July 1994

[14] A. Gombani and P.A. Fuhrmann, On external spectral factors and geometric control, Proceedings of the 34th Conference on Decision and Control, New Orleans, December 1995

[15] T. Björk,, A. Gombani, "On the reduction of multiplicity in systems modeling", Operators, Systems and Linear Algebra: Three Decades ofAlgebraic Systems Theory" in Honor of Professor Paul Fuhrmann, Teubner Verlag,1997.

[16] A. Gombani, Siep Weiland, "On the parametrization of J-spectral factors", Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, December 2000.

[17] L. Baratchart, A. Gombani, M. Olivi, "Parameter determination for surface acoustic wave filters" IEEE Conference on Decision and Control, Sydney, Australia, December 2000.

[18]  Siep Weiland, A. Gombani, "New results on the parametrization of J-spectral factors" IFAC World Congress, Barcellona , 2002.

[19] A. Gombani  Gy. Michaletzky, On some interpolation problems", MTNS 2002.

[20] A. Gombani, S. R. Jaschke, and W. J. Runggaldier, "Stochastic filtering for pricing in term structure models", MTNS 2002.

[21] A. Gombani  Gy. Michaletzky , On the parametrization of Schur functions  of degree n with fixed interpolating conditions,  CDC, 2002, Las Vegas, USA

[22] P.Enqvist, A. Gombani , On the parametrization of Schur and Positive Real  functions of degree $n$ with fixed interpolating conditions, CDC, 2003, Maui, USA.

[23]  A. Gombani, Thomas Ribarits, On a simple overlapping state-space parametrization for linear time series models, Proceedings of the IFAC World Congress, Prague 2004.

[24]  A. Gombani  Gy. Michaletzky, On interpolation and the Kimura-Georgiou parametrization, in Modeling, Estimation and Control, Festschrift in Honor of Giorgio Picci on the Occasion of his Sixty-Fifth Birthday, A. Chiuso, S. Pinzoni and A. Ferrante Eds, Springer Lecture Notes in Control and Information Sciences 364, 171-182, 2007.

[25]  A. Gombani  Gy. Michaletzky, On the McMillan degree of general Linear Fractional Transformations, MTNS08, Blacksburg, Virginia, 2008.

[26]  A. Gombani and W. Runggaldier, An LQG derivation of risk-neutral term structure models, MTNS08, Blacksburg, Virginia 2008.


Editor of Proceedings

[1] G.B.Di Masi, A. Gombani,  A. Kurzhanski Eds., Modelling, Estimation and Control of Systems with Uncertaintyî , Birkäuser Boston, 1991.

Submitted

[1]    A. Gombani and Gy. Michaletzky - On the Nevanlinna-Pick interpolation problem: analysis of the McMillan degree of the solutions, Reports of the Mittal-Leffler Institute, Spring 2003

[2]    A. Gombani and G. Michaletzky - On the parametrization of Schur and Positive Real functions of degree ${n}$ with fixed interpolation conditions, Reports of the Mittal-Leffler Institute, Spring 2003

[3]    L. Baratchart, P. Enqvist, A. Gombani and M. Olivi - Surface Acoustic Wave Filters, Unitary Extensions and Schur Analysis, Reports of the Mittal-Leffler Institute, Spring 2003.

[4]    A. Gombani, S. Jaschke and W. Runggaldier, Consistent Price Systems for Subfiltrations
 


 

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last update: 27.10.08