Publications - Reports

2016

• An alternating minimization algorithm for structured covariance completion problems
  A. Zare and Y. Chen and M. R. Jovanovic and T. T. Georgiou

• Perturbation of System Dynamics and the Covariance Completion Problem
  Armin Zare, Mihailo Jovanovic and Tryphon T. Georgiou

• Ricci curvature: An economic indicator for market fragility and systemic risk
  Romeil Sandhu, Tryphon Georgiou, Allen Tannenbaum

• On the definiteness of graph Laplacians with negative weights: Geometrical and passivity-based approaches
  Yongxin Chen, Sei Zhen Khong, Tryphon T. Georgiou

• Alternating direction optimization algorithms for covariance completion problems
  Armin Zare, Mihailo R. Jovanovic, and Tryphon T. Georgiou

• Ricci Curvature and Robustness of Cancer Networks
  Allen Tannenbaum, Chris Sander, Liangjia Zhu, Romeil Sandhu, Ivan Kolesov, Eduard Reznik, Yasin Senbabaoglu, Tryphon Georgiou

• Bakry-Emery Ricci Curvature on Weighted Graphs with Applications to Biological Networks
  Maryam Pouryahya, Rena Elkin, Romeil Sandhu Sarah Tannenbaum, Tryphon Georgiou, Allen Tannenbaum

• Non-commutative Sinkhorn theorem and generalizations
  Yongxin Chen, Tryphon Georgiou and Michele Pavon

• Laplacian Global Similarity of Networks
  Romeil Sandhu, Tryphon Georgiou, Allen Tannenbaum

• Optimal steering of Ensembles
  Yongxin Chen, Tryphon Georgiou and Michele Pavon

• Matricial Wasserstein and Unsupervised Tracking
  Lipeng Ning, Romeil Sandhu, Tryphon T. Georgiou, and Allen Tannenbaum

• Geometry of Correlation Networks for Studying the Biology of Cancer
  Romeil Sandhu, Sarah Tannenbaum, Tryphon T. Georgiou, Allen Tannenbaum

• A new approach to robust transportation over networks
  Yongxin Chen, Tryphon Georgiou, Michele Pavon and Allen Tannenbaum

• Some geometric ideas for feature enhancement of diffusion tensor fields
  Hamza Farooq, Yongxin Chen, Tryphon T. Georgiou and Christophe Lenglet

• Robust transport over networks
  Yongxin Chen, Tryphon T. Georgiou, Michele Pavon and Allen Tannenbaum

• Color of turbulence
  Armin Zare, Mihailo R. Jovanović, Tryphon T. Georgiou

• Stochastic control, entropic interpolation and gradient flows on Wasserstein product spaces
  Yongxin Chen, Tryphon Georgiou, Michele Pavon

2015

• Market Fragility, Systemic Risk, and Ricci Curvature
  Romeil Sandhu, Tryphon Georgiou, Allen Tannenbaum

• Entropic and displacement interpolation: a computational approach using the Hilbert metric
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Steering state statistics with output feedback
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Optimal estimation with missing observations via balanced time-symmetric stochastic models
  Tryphon T. Georgiou and Anders Lindquist

• Optimal control of the state statistics for a linear stochastic system
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Brain Microstructure Mapping from diffusion MRI using Least Squares Variable Separation
  Hamza Farooq, Junqian Xu, Essa Yacoub, Tryphon Georgiou, and Christophe Lenglet

• Optimal mass transport over bridges
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Ricci Curvature and Robustness of Cancer Networks
  Allen Tannenbaum, Chris Sander, Liangjia Zhu, Romeil Sandhu, Ivan Kolesov, Eduard Reznik, Yasin Senbabaoglu, Tryphon Georgiou

• Optimal transport over a linear dynamical system
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

2014

• Completion of partially known turbulent flow statistics via convex optimization
  A. Zare and M. R. Jovanovic ́ and T. T. Georgiou

• Low-complexity modeling of partially available second-order statistics via matrix completion
  Armin Zare, Yongxin Chen, Mihailo Jovanovic and Tryphon T. Georgiou

• On the relation between optimal transport and Schrodinger bridges: A stochastic control viewpoint
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Fast cooling for a system of stochastic oscillators
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Optimal steering of a linear stochastic system to a final probability distribution, part II
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Optimal steering of a linear stochastic system to a final probability distribution
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Optimal steering of inertial particles diffusing anisotropically with losses
  Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon

• Stochastic bridges of linear systems
  Yongxin Chen and Tryphon T. Georgiou

• Metrics for matrix-valued measures via test functions
  Lipeng Ning and Tryphon T. Georgiou

• Convex clustering via Optimal Mass Transport
  Francesca Carli, Lipeng Ning, and Tryphon T. Georgiou

• Positive contraction mappings for classical and quantum Schrodinger systems
  Tryphon T. Georgiou and Michele Pavon

• On time-reversibility of linear stochastic models
  Tryphon T. Georgiou and Anders Lindquist

• Coping with model error in variational data assimilation using optimal mass transport
  Lipeng Ning, Francesca P. Carli, Ardeshir Mohammad Ebtehaj, Efi Foufoula-Georgiou, Tryphon T. Georgiou

2013

• Linear models based on noisy data and the Frisch scheme
  L. Ning, T.T. Georgiou, A. Tannenbaum, and S.P. Boyd

• Matrix-valued Monge-Kantorovich Optimal Mass Transport
  L. Ning, T.T. Georgiou, and A. Tannenbaum

• Validating Aircraft Models in the Gap Metric
  Andrei Dorobantu, Gary J. Balas, and Tryphon T Georgiou

• The Wasserstein metric in Factor Analysis
  Lipeng Ning and Tryphon Georgiou

• The role of past and future in estimation and the reversibility of stochastic processes
  Yongxin Chen, Johan Karlsson, and Tryphon Georgiou

• Completion of partially known turbulent flow statistics
  Armin Zare, Mihailo R. Jovanovic, and Tryphon T. Georgiou

• State covariances and the matrix completion problem
  Y. Chen, M. Jovanovic, T.T. Georgiou

• An ADMM algorithm for matrix completion of partially known state covariances
  Fu Lin, Mihailo R. Jovanovic, and Tryphon T. Georgiou

2012

• Uncertainty bounds for spectral estimation
  J.Karlsson and T.T. Georgiou

• Geometric Methods for Spectral Analysis
  IEEE Trans. on Signal Processing, March 2012
  X. Jiang, Zhi-Quan (Tom) Luo and T.T. Georgiou

2011

• Distances and Riemannian metrics for multivariate spectral densities
  X. Jiang, L. Ning, and T.T. Georgiou

• Geometric methods for estimation of structured covariances
  L. Ning, X. Jiang and T.T. Georgiou

• The Separation Principle in Stochastic Control, Redux
  T.T. Georgiou and A. Lindquist

• On the Covariance Completion Problem under a Circulant Structure
  IEEE Trans. on Automatic Control, 56(4): 918 - 922, April 2011]
  F. Carli and T.T. Georgiou

2010

• Feedback Control and the Arrow of Time
  International Journal of Control 83(7): 1325 — 1338, 2010
  translated into Japanese and re-printed in: Systems, Control and Information 53(7): 273-281, 2009
  T.T. Georgiou and M.C. Smith

• The Inverse Problem of Analytic Interpolation with Degree Constraint and Weight Selection for Control Synthesis
  IEEE Trans. on Automatic Control 55(2): 405-418, February 2010
  J.Karlsson, T.T. Georgiou, and A. Lindquist

• Multivariable analytic interpolation with a degree constraint
  IEEE Trans. on Automatic Control 55(5): 1057-1088, May 2010
  Mir Shahrouz Takyar, and T.T. Georgiou

2009

• Metrics for power spectra: an axiomatic approach
  IEEE Trans. on Signal Processing, 57(3): 859 - 867, March 2009
  T.T.Georgiou, J. Karlsson, and S. Takyar

• Stochastic Observability Test for Discrete-Time Kalman Filters
  AIAA Journal of Guidance, Control, and Dynamics Vol. 32, No. 4, July-August 2009, pp. 1356-1370
  V.L. Bageshwar, D. Gebre-Egziabher, W.L. Garrard, and T.T. Georgiou

2008

• A convex optimization approach to ARMA modeling
  IEEE Trans. on Automatic Control 53(5):1108 - 1119 , June 2008
  T.T. Georgiou and A. Lindquist

• Weight Selection in Feedback Design with Degree Constraints
  IEEE Trans. on Automatic Control 53(8): 1951-1955, September 2008
  Mir Shahrouz Takyar, A. Nasiri-Amini, and T.T. Georgiou

• Optimal periodic control of a drug delivery system
  Computers and Chemical Engineering, 32(10): 2256-2262, October 2008
  S. Varigonda, T.T. Georgiou, R.A. Siegel, and P. Daoutidis

2007

• The meaning of distances in spectral analysis
  IEEE CDC, plenary slides, December 2007
  

• The Caratheodory-Fejer-Pisarenko decomposition and its multivariable counterpart
  IEEE Trans. on Automatic Control, 52(2): 212-228, February 2007
  T.T. Georgiou

• Distances and Riemannian Metrics for Spectral Density Functions
  IEEE Trans. on Signal Processing, 55(8): 3995-4003, August 2007
  T.T. Georgiou

• An intrinsic metric for power spectral density functions
  IEEE Signal Processing Letters, 14(8): 561-563, August 2007
  T.T. Georgiou

• The maximum entropy ansatz in the absence of a time-arrow: fractional pole models
  IEEE Trans. on Information Theory 53(8): 2841-2851, August 2007
  T.T. Georgiou

• Distribution Metrics and Image Segmentation
  Linear Algebra and its Applications 425(2-3): 663-672, September 2007
  T.T. Georgiou, Oleg Michailovich, Yogesh Rathi, James Malcolm, and Allen Tannenbaum

2006

• Generalized interpolation in H-infintiy with a complexity constraint
  Trans. Amer. Math. Soc. 358(3): 965-987, 2006
  C.I. Byrnes, T.T. Georgiou, A. Lindquist, and A. Megretski

• Relative Entropy and the multi-variable multi-dimensional Moment Problem
  IEEE Trans. on Information Theory 52(3): 1052 - 1066, March 2006
  T.T. Georgiou

• Remarks on control design with degree constraint
  IEEE Trans. on Automatic Control, 51(7): 1150-1156, July 2006
  T.T. Georgiou and A. Lindquist

• Decomposition of Toeplitz matrices via convex optimization
  IEEE Signal Processing Letters, 13(9): 537- 540, September 2006
  T.T. Georgiou

• Tunable Line Spectral Estimators Based on State-Covariance Subspace Analysis
  IEEE Trans. on Signal Processing, 54(7): 2662- 2671, July 2006
  A. Nasiri Amini and T.T. Georgiou

2005

• Noninvasive tissue temperature estimation using high-resolution spectral analysis techniques
  IEEE Trans. on Biomedical Engineering 52(2): 221-228, February 2005
  A. Nasiri Amini, E. Ebbini, and T.T. Georgiou,

• Solution of the general moment problem via a one-parameter imbedding
  IEEE Trans. on Automatic Control 50(6): 811-826, June 2005
  T.T. Georgiou

• Avoiding Ambiguity in Beamspace Processing
  IEEE Signal Processing Letters, 12(5): 372 - 375, May 2005
  A. Nasiri Amini and T.T. Georgiou

2004

• Moment problems and relative entropy
  University of Minnesota, colloquium slides, November 2004
  

• Numerical solution of the optimal periodic control problem using differential flatness
  IEEE Trans. on Automatic Control 49(2): 271 - 275, February 2004
  S. Varigonda, T.T. Georgiou, and P. Daoutidis

2003

• Robustness of Feedback Systems
  Mittag Leffler, Stockholm, presentation slides, May 2003
  

• Kullback-Leibler approximation of spectral density functions
  IEEE Trans. on Information Theory 49(11) November 2003
  T.T. Georgiou and A. Lindquist,

2002

• The structure of state covariances and its relation to the power spectrum of the input
  IEEE Trans. on Automatic Control 47(7): 1056-1066, July 2002
  T.T. Georgiou

• Spectral analysis based on the state covariance: the maximum entropy spectrum and linear fractional parameterization
  IEEE Trans. on Automatic Control 47(11): 1811-1823, November 2002
  T.T. Georgiou

2001

• Spectral analysis via analytic interpolation
  Fields Institute Toronto, presentation slides, September 2001
  

• Analytic Interpolation and the Degree Constraint
  Int. J. Applied Mathematics and Computer Science January 2001, 11(1): 101-109
  T.T. Georgiou

• Spectral Estimation by Selective Harmonic Amplification
  IEEE Trans. on Automatic Control 46(1): 29-42, January 2001
  T.T. Georgiou

• Dynamics of relay relaxation oscillators
  IEEE Trans. on Automatic Control 46(1): 65-77, January 2001
  S. Varigonda and T.T. Georgiou

• Remarks on Robustness Analysis of Nonlinear Feedback Systems An Input-Output Approach
  IEEE Trans. on Automatic Control 46(1): 171-172, January 2001
  T.T. Georgiou and M.C. Smith

• On the Computation of Switching Surfaces in Optimal Control: A Groebner Basis Approach
  IEEE Trans. on Automatic Control April 2001
  U. Walther, T.T. Georgiou and A. Tannenbaum

• A generalized entropy criterion for Nevanlinna-Pick interpolation: A convex optimization approach to certain problems in systems and control
  IEEE Trans. on Automatic Control 45(6): 822-839, June 2001
  C. Byrnes, T.T. Georgiou, and A. Lindquist

2000

• A new approach to spectral estimation: A tunable high-resolution spectral estimator
  IEEE Trans. on Signal Processing 48(11): 3189-3206, November 2000
  C. Byrnes, T.T. Georgiou, and A. Lindquist

• Signal Estimation via Selective Harmonic Amplification: MUSIC redux
  IEEE Trans. on Signal Processing 48(3): 780-790, March 2000
  T.T. Georgiou

• Robustness of a relaxation oscillator
  International Journal of nonlinear and robust control 10: 1005-1024, October 2000
  T.T. Georgiou and M.C. Smith

1999

• The interpolation problem with a degree constraint
  IEEE Trans. on Automatic Control 44(3): 631-635, March 1999
  T.T. Georgiou

• Worst-Case Analysis of Nonlinear Feedback Systems
  IEEE Trans. on Automatic Control 44(6): 1180-96, June 1999
  I. Fialho and T. T. Georgiou

1997

• Robustness Analysis of Nonlinear Feedback Systems
  An Input-Output Approach IEEE Trans. on Automatic Contr. 42(9): 1200-1221, September 1997
  T.T. Georgiou and M.C. Smith

• L1 state-feedback control with a prescribed rate of exponential convergence
  IEEE Trans. on Automatic Contr. 42(10): 1476-1481, October 1997
  I.J. Fialho and T.T. Georgiou

• On a large-gain theorem
  Systems and Control letters 32(4): 231-234, December 1997
  T.T. Georgiou, M. Khammash, and A. Megretski

1995

• Explicit formulas for optimally robust controllers for delay systems
  IEEE Trans. on Automatic Contr. 40(4): 656-669, April 1995
  H. Dym, T.T. Georgiou, and M.C. Smith

• Intrinsic difficulties in using the doubly-infinite time axis for input-output systems theory
  IEEE Trans. on Automatic Contr. 40(3): 516-518, March 1995
  T.T. Georgiou and M.C. Smith

• On the L1-norm of uncertain linear systems
  IEEE Trans.on Automatic Contr. 40(6): 1142-1147, June 1995
  I. Fialho and T.T. Georgiou

1994

• Geometric aspects of the Caratheodory extension problem
  Linear Algebra and its Applications 203/4: 209-251, 1994
  C.Chang and T.T. Georgiou

• On Stability and performance of sampled-data systems subject to wordlength constraint
  IEEE Trans. on Automatic Contr., 39(12): 2476-2481, December 1994
  I. Fialho and T.T.Georgiou

• On the envelope of spectral power of stochastic processes
  IEEE Trans. on Information Theory 40(2): 584-588, 1994
  C. Shankwitz and T.T. Georgiou

1993

• Differential stability and robust control of nonlinear systems
  Mathematics of Control, Signals and Systems 6(4): 289-307, 1993
  T.T. Georgiou

• Graphs, causality and stabilizability: linear, shift-invariant systems on L_2 [0,infinity)
  Mathematics of Control, Signals and Systems 6(3): 195-223, 1993
  T.T.Georgiou and M.C. Smith

• Approximation in the gap metric: upper and lower bounds
  IEEE Trans. on Automatic Control 38(6): 946-951, 1993
  T.T. Georgiou and M.C. Smith

• Robust stability of feedback systems: A geometric approach using the gap metric
  SIAM Journal on Control and Optimization 31(6): 1518-37, November 1993
  C.Foias, T.T. Georgiou, and M.C. Smith

• Flexible Structure Experiments at JPL and WPAFB
  International Journal of Control 58(1): 1-19, 1993
  S.Buddie, T.T. Georgiou, Umit Ozguner, and M.C. Smith

• The parallel projection operators of a nonlinear feedback system
  Systems and Control letters 20: 79-85, 1993
  J.C. Doyle, T.T. Georgiou, and M.C. Smith

1992

• On a Schur algorithm based approach to spectral factorization: Connection with the Riccati equation
  Linear Algebra and Applications 171: 233-247, 1992
  C. Chang and T.T. Georgiou

• Robust stabilization in the gap metric: Controller design for distributed plants
  IEEE Trans. on Automatic Control 37: 1133-1143, August 1992
  T.T. Georgiou and M.C. Smith

1990

• Optimal robustness in the gap metric
  IEEE Transactions on Automatic Control, 35:673-686, June 1990
  T.T. Georgiou and M.C. Smith

• On the maximum entropy method for interval covariance sequences
  IEEE Trans. on Acoustics, Speech, and Signal Processing 38:1815-1817, October 1990
  C. Shankwitz and T.T. Georgiou,

1989

• Computational aspects of spectral factorization and the tangential Schur algorithm
  IEEE Trans. on Circuits and Systems 36(1): 103-108, January 1989
  T.T. Georgiou

• Spectral factorization of matrix valued functions using interpolation theory
  IEEE Trans. on Circuits and Systems 36(4): 568-574, April 1989
  T.T. Georgiou and P.P. Khargonekar

• W-stability of feedback systems
  Systems and Control Letters,13:271-277, November 1989
  T.T. Georgiou and M.C. Smith

1988

• On a Schur-algorithm based approach to spectral factorization: State-space formulae
  Systems and Control Letters, 10(2): 123-129, February 1988
  T.T. Georgiou

• B.A. Francis and T.T. Georgiou Stability theory for Linear Time-Invariant Plants with Periodic Digital Controllers
  IEEE Trans. on Automatic Control 33(9): 820-832, September 1988
  

• Pointwise Stabilizability of Families of Linear Time Invariant Plants
  IEEE Trans. on Automatic Control, 33(12): 1161-1165, December 1988
  A.M. Pascoal, P.P. Khargonekar, and T.T. Georgiou

• On the computation of the gap metric
  Systems and Control Letters, 11(4): 253-257, October 1988
  T.T. Georgiou

1987

• On the robust stabilizability of linear time-invariant plants with unstructured uncertainty
  IEEE Trans. on Automatic Control AC-32: 201-207, March 1987
  P.P. Khargonekar, T.T. Georgiou, and A.M. Pascoal

• A constructive algorithm for sensitivity optimization of periodic systems
  SIAM J. on Control and Optimization 25(2): 334-340, March 1987
  T.T. Georgiou and P.P. Khargonekar

• Interpolation of binary series based on discrete time Markov chain models
  Water Resources Research 23(3): 515-518, March 1987
  E. Foufoula-Georgiou and T.T. Georgiou

• Realization of power spectra from partial covariance sequences
  IEEE Trans. on Acoustics, Speech, and Signal Processing, AASP-35(4): 438-449, April 1987
  T.T. Georgiou
  

• Spectral factorization and Nevan-linna-Pick interpolation
  SIAM J. on Control and Optimization, 25(3): 754-766, May 1987
  T.T. Georgiou and P.P. Khargonekar

• A topological approach to Nevanlinna-Pick interpolation
  SIAM J. on Mathematical Analysis, 18(5): 1248-1260, September 1987
  T.T. Georgiou

• On the robust stabilizability of uncertain linear time-invariant plants using nonlinear time-varying controllers
  Automatica, 23(5): 617-624, September 1987
  T.T. Georgiou, A.M. Pascoal, and P.P. Khargonekar

1986

• Linear fractional transformations and spectral factorization
  IEEE Trans. on Automatic Control AC-31: 345-347, April 1986
  T.T. Georgiou and P.P. Khargonekar

1983

• Skew prime polynomial matrices: the polynomial model approach
  Linear Algebra and Applications, 50, April 1983, pp. 403-435
  P.P. Khargonekar, T.T. Georgiou, and A.B. Ozguler

• Partial Realization of Covariance Sequences
  Dissertation, Dept. of Electrical Engineering, CMST, University of Florida, 1983
  T.T. Georgiou