Journal Publications
          
    1. L. A. Duffaut Espinosa, F. Rosales and A. Posadas, `Embedding Spatial Variability in Rainfall Field Reconstruction,'International Journal of Remote Sensing, under review.
    2. W. S. Gray, L. A. Duffaut Espinosa and K. Ebrahimi-Fard, `Discrete-Time Approximations of Fliess Operators: The rational case,'Numerische Mathematik, vol. 137, no. 1, 2017, pp. 35-62.
    3. L. A. Duffaut Espinosa, A. Posadas, M. Carbajal, and R. Quiroz, `Multifractal downscaling of rainfall using normalized difference vegetation index (NDVI) in the Andes plateau ,'Plos ONE, vol. 12, no. 1, 2017, pp. 1-25.
    4. L. A. Duffaut Espinosa, W. S. Gray, and K. Ebrahimi-Fard, `Dendriform-Tree Setting for Fully Non-commutative Fliess Operators,'IMA Journal of Mathematical Control & Information, vol. 32, 2016, pp. 1-31.
    5. L. A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii and M. R. James, `Physical Realizability and Preservation of Commutation Relations of n-Level Quantum Systems,'SIAM Journal on Control and Optimization, vol. 54, no. 2, 2016, pp. 632-661.
    6. L. A. Duffaut Espinosa, K. Ebrahimi-Fard, and W. S. Gray, `A combinatorial Hopf algebra for nonlinear output feedback control systems,'Journal of Algebra, vol. 453, 2016, pp. 609-643.
    7. A. Posadas, L. A. Duffaut Espinosa, C. Yarlequé, H. Heidinger, L. Carvalho, C. Jones, and R. Quiroz, `Spatial Random Downscaling of Rainfall Signals in Andean Heterogeneous Terrain,'Nonlinear Processes in Geophysics, vol. 22, no. 4, 2015, pp. 383-402.
    8. L. A. Duffaut Espinosa and W. S. Gray, `Functional Series Expansions for Continuous-Time Switched Systems,'Journal of Dynamical and Control Systems, vol. 21, no. 2, 2015, pp. 211-237.
    9. W. S. Gray, L. A. Duffaut Espinosa and K. Ebrahimi-Fard, `Faà di Bruno Hopf Algebra of the Feedback Group for Multivariable Fliess Operators,'Systems and Control Letters, vol. 74, 2014, pp. 64-73.
    10. W. S. Gray, M. Thitsa and L. A. Duffaut Espinosa, `Left Inversion of Analytic SISO Systems via Formal Power Series Methods,'Automatica, vol. 50, no. 9, 2014, pp. 2381-2388.
    11. L. A. Duffaut Espinosa, W. S. Gray and O. R. González, `On Fliess Operators Driven by L2-Itô Processes,'Stochastics: An International Journal of Probability and Stochastic Processes, vol. 84, no. 4, 2012, pp. 507-532.
    12. W. S. Gray and L. A. Duffaut Espinosa, `A Faà di Bruno Hopf Algebra for a Group of Fliess Operators with Applications to Feedback,'Systems and Control Letters, vol. 60, no. 7, 2011, pp. 441-449.
    13. W. S. Gray, H. Herencia-Zapana, L. A. Duffaut Espinosa, and O. R. González, `Bilinear System Interconnections and Generating Series of Weighted Petri Nets,'Systems and Control Letters, vol. 58, no. 12, 2009, pp. 841-848.
          
      Book Chapters
          
    14. M. Almassalkhi, L. A. Duffaut Espinosa, P. Hines, J. Frolik, S. Paudyal, S. Heydari, and M. Amini, `Asynchronous coordination of distributed energy resources with packetized energy management,'Institute for Mathematics and its Applications - Control at Large Scales: Energy Markets and Responsive Grids, under review.
    15. L. A. Duffaut Espinosa, W. S. Gray, and K. Ebrahimi-Fard, `Combinatorial Hopf algebras for interconnected nonlinear systems: A view towards discretization,'Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series, under review.
    16. W. S. Gray and L. A. Duffaut Espinosa, `A Faà di Bruno Hopf Algebra for Analytic Nonlinear Feedback Systems,' in Faá di Bruno Hopf Algebras, Dyson-Schwinger Equations, and Lie-Butcher Series, K. Ebrahimi-Fard and F. Fauvet, Eds., IRMA Lectures in Mathematics and Theoretical Physics, European Mathematical Society, Strasbourg, France, 2015.
          
      Conference Publications
          
    17. L. A. Duffaut Espinosa, M. Almassalkhi, P. Hines, and J. Frolik, `Some Properties of Packetized Energy Management for Different Classes of DERs,' 20th Power Systems Computation Conference, Dublin, Ireland, 2018,under review.
    18. L. A. Duffaut Espinosa, M. Almassalkhi, P. Hines, and J. Frolik, `Aggregate modeling and coordination of diverse energy resources under packetized energy management,' 56th IEEE Conference on Decision and Control, Melbourne, Australia, 2017, to appear.
    19. L. A. Duffaut Espinosa and W. S. Gray, `Integration of Output Tracking and Trajectory Generation Via Analytic Left Inversion,'21st International Conference on System Theory, Control and Computing, Sinaia, Romania, 2017.
    20. W. S. Gray and L. A. Duffaut Espinosa, `Data-Driven SISO Predictive Control Using Adaptive Discrete-Time Fliess Operator Approximations,'21st International Conference on System Theory, Control and Computing, Sinaia, Romania, 2017.
    21. L. A. Duffaut Espinosa, M. Almassalkhi, P. Hines, S. Heydari and J. Frolik, `Towards a Macromodel for Packetized Energy Management of Resistive Water Heaters,'Proc. 51st Conference on Information Sciences and Systems, Baltimore, Maryland, 2017.
    22. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Sensitivity of the Left Inverse of a SISO Analytic Nonlinear System,'Proc. 51st Conference on Information Sciences and Systems, Baltimore, Maryland, 2017.
    23. L. Berlin, W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `On the Performance of Antipode Algorithms for the Multivariable Output Feedback Hopf Algebra,'Proc. 51st Conference on Information Sciences and Systems, Baltimore, Maryland, 2017.
    24. I. M. Winter-Arboleda, W. S. Gray and L. A. Duffaut Espinosa, `On Global Convergence of Fractional Fliess Operators with Applications to Bilinear Systems,'Proc. 51st Conference on Information Sciences and Systems, Baltimore, Maryland, 2017.
    25. I. M. Winter-Arboleda, L. A. Duffaut Espinosa, and W. S. Gray, `Nonrecursively Interconnected Fliess Operators Preserve Global Convergence: An Expanded View,'Proc. 22nd International Symposium on the Mathematical Theory of Networks and Systems, Minneapolis, USA, 2016.
    26. I. M. Winter-Arboleda, W. S. Gray, and L. A. Duffaut Espinosa, `Expanding the Class of Globally Convergent Fliess Operators,' Proc. 22nd International Symposium on the Mathematical Theory of Networks and Systems, Minneapolis, USA, 2016.
    27. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Discrete-Time Approximations of Fliess Operators,'Proc. 2016 American Control Conference, Boston, USA, 2433-2439, 2016.
    28. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Analytic Left Inversion of Multivariable Lotka-Volterra Models,'Proc. 54rd IEEE Conference on Decision and Control, Osaka, Japan, 6472-6477, 2015.
    29. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, ` Analytic Left Inversion of SISO Lotka-Volterra Models,'Proc. 49th Conference on Information Sciences and Systems, Baltimore, Maryland, 2015.
    30. I. M. Winter-Arboleda, W. S. Gray, and L. A. Duffaut Espinosa, `Fractional Fliess Operators: Two Approaches ,'Proc. 49th Conference on Information Sciences and Systems, Baltimore, Maryland, 2015.
    31. L. A. Duffaut Espinosa, W. S. Gray, and K. Ebrahimi-Fard, `Dendriform-Tree Setting for Fully Non-commutative Fliess Operators,'Proc. 53rd IEEE Conference on Decision and Control, Los Angeles, California, 2014, pp. 4814-4819.
    32. W. S. Gray, M. Thitsa, and L. A. Duffaut Espinosa, `Pre-Lie Algebra Characterization of SISO Feedback Invariants,'Proc. 53rd IEEE Conference on Decision and Control, Los Angeles, California, 2014, pp. 4807-4813.
    33. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Recursive Algorithm for the Antipode in the SISO Feedback Product,'Proc. 21st International Symposium on the Mathematical Theory of Networks and Systems, Groningen, The Netherlands, 2014, pp. 1088-1093.
    34. L. A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii and M. R. James, `Physical Realizability Conditions for Mixed Bilinear-Linear Cascades with Pure Field Coupling,'Proc. 52nd IEEE Conference on Decision and Control, Florence, Italy, 2013, pp. 1866-1871.
    35. W. S. Gray and L. A. Duffaut Espinosa, `Feedback Transformation Groups for Nonlinear Input-output Systems,'Proc. 52nd IEEE Conference on Decision and Control, Florence, Italy, 2013, pp. 2570-2575.
    36. Z. Miao, L. A. Duffaut Espinosa, I. R. Petersen, V. Ugrinovskii and M. R. James, `Coherent observers for finite level quantum systems,'2013 Australian Control Conference, Perth, Australia, pp. 313-318.
    37. L. A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii and M. R. James, `On the preservation of commutation and anticommutation relations of n-level quantum systems,'Proc. 2013 American Control Conference, Washington D.C., 2013, pp. 2545-2549.
    38. L. A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii and M. R. James, `Preservation of Commutation Relations and Physical Realizability of Open Two Level Quantum Systems,'Proc. 51th IEEE Conference on Decision and Control, Maui, Hawaii, 2012, pp. 3019-3023.
    39. L. A. Duffaut Espinosa, W. S. Gray, and M. Thitsa, `Cascaded Analytical Nonlinear Systems Driven By Rough Path Inputs,'Proc. 51th IEEE Conference on Decision and Control, Maui, Hawaii, 2012, pp. 1259-1264.
    40. W. S. Gray, M. Thitsa and L. A. Duffaut Espinosa, `Inversion of Analytic Input-Output Systems via Formal Power Series,'Proc. 15th Congreso Latin American Control Conference, Lima, Peru, 2012.
    41. L. A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii and M. R. James, `Physical Realizability of Multi-Level Quantum Systems,'2012 Australian Control Conference, Sydney, Australia, 2012, pp. 19-23.
    42. L. A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii and M. R. James, `Physical Realizability of an Open Spin System,'Proc. 20th International Symposium on the Mathematical Theory of Networks and Systems, Melbourne, Australia, 2012, to appear.
    43. L. A. Duffaut Espinosa, W. S. Gray, and M. Thitsa, `Cascaded Fliess Operators with Rough Path Inputs,'Proc. 20th International Symposium on the Mathematical Theory of Networks and Systems, Melbourne, Australia, 2012, to appear.
    44. W. S. Gray and L. A. Duffaut Espinosa, `A Faà di Bruno Hopf Algebra for a Group of Fliess Operators with Applications to Feedback,'Proc. 50th IEEE Conference on Decision and Control, Orlando, Florida, 2011, pp. 3848-3854 (invited).
    45. D. C. Tarraf and L. A. Duffaut Espinosa, `On Finite Memory Approximations Constructed from Input/Output Snapshots,'Proc. 50th IEEE Conference on Decision and Control, Orlando, Florida, 2011, pp. 3966-3973.
    46. L. A. Duffaut Espinosa and W. S. Gray, `Functional Series Expansions for Continuous-Time Switched Systems,'Proc. 2011 American Control Conference, San Francisco, California, 2011, pp. 2607-2612.
    47. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On the Local Convergence of Fliess Operators Driven by L2-Itô Random Processes,'Proc. 49th IEEE Conference on Decision and Control, Atlanta, Georgia, 2010, pp. 2631-2637.
    48. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On the Absolute Global Convergence of Fliess Operators Driven by L2-Itô Processes,'Proc. 42nd IEEE Southeastern Symposium on System Theory, Tyler, Texas, 2010, pp. 280-285.
    49. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On Fliess Operators Driven by L2-Itô Random Processes,'Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009, pp. 7478-7484.
    50. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `Growth Bounds for Iterated Integrals of L2-Itô Random Processes,'Proc. 41st IEEE Southeastern Symposium on System Theory, Tullahoma, Tennessee, 2009, pp. 223-229.
    51. W. S. Gray, H. Herencia-Zapana, L. A. Duffaut Espinosa, and O. R. González, `On Cascades of Bilinear Systems and Generating Series of Weighted Petri Nets,'Proc. 47th IEEE Conference on Decision and Control, Cancun, Mexico, 2008, pp. 4115-4120.
    52. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On the Bilinearity of Cascaded Bilinear Systems,'Proc. 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, pp. 5581-5587.
    53. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On the Rationality of the Composition Product: A Survey,'Proc. 39th IEEE Southeastern Symposium on System Theory, Macon, Georgia, 2007, pp. 238-243.
    54. L. A. Duffaut Espinosa, A. D. Posadas, and R. Quiroz, `Extracción de Bordes de Imágenes Digitales a Través del Análisis Multifractal,'Anales del VIII Simposio Nacional de Estudiantes de Física, Universidad Nacional San Antonio Abad del Cusco, Cusco, Perú, 2004.
          
      Abstracts
          
    55. A. Posadas, C. Yarlequé, M. Carbajal, H. Heidinger, L. Carvalho, C. Jones, L. A. Duffaut Espinosa and R. Quiroz, `The random cascade model: an approach for spatial downscaling of rainfall signals in heterogeneous terrain,'Climate-Smart Agriculture: Global Science Conference,University of California Davis, Davis, California, 2013.
    56. L. A. Duffaut Espinosa, W. S. Gray, and M. Thitsa, `Cascade of nonlinear systems driven by rough paths,'8th International Purdue Symposium on Statistics, Purdue University, West Lafayette, Indiana, 2012.
    57. J. R. Donat, G. Carrasco, L. A. Duffaut Espinosa, P. L. Morton, `Sources and Transport of Zinc and Cadmium and Their Complexing Ligands in the Atlantic and Pacific Oceans: Differential Ligand Decay in Specific Water Masses,'Ocean Sciences Meeting, Salt Lake City, Utah, 2012, under review.
    58. G. Carrasco, L. A. Duffaut Espinosa, P. L. Morton and J. R. Donat, `Evaluating Sources and Transport of Zinc and Cadmium and Their Complexing Ligands in the Atlantic and Pacific Oceans,'Mineralogical Magazine, vol. 75,no. 3, 2011, pp. 627.
    59. L. A. Duffaut Espinosa and W. S. Gray, `A Rota-Baxter Like Algebra for Fliess Operators with Poisson Inputs and its Applications to Switched Nonlinear Systems,'The 7th International Congress on Industrial & Applied Mathematics, Vancouver, Canada, 2011 (invited).
    60. W. S. Gray and L. A. Duffaut Espinosa, `A Faá di Bruno Hopf Algebra for a Group of Fliess Operators with Applications to Feedback,'The 7th International Congress on Industrial & Applied Mathematics, Vancouver, Canada, 2011 (invited).

      Last revision: Dec 3, 2017   



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