Publications

Journals:

  1. L. A. Duffaut Espinosa, I. Perez and F. Rosales, “On the Use of Dynamic Control to Escape a Debt Spiral in the Keen Model,” Chaos, Solitons & Fractals, under review.
  2. L. A. Duffaut Espinosa, M. Almassalkhi, and Adil Khurram, “Reference-Tracking Control Policies for Packetized Coordination of Heterogeneous DER Populations,” IEEE Transactions on Control Systems Technology, to appear.
  3. W. S. Gray, G. S. Venkatesh, and L. A. Duffaut Espinosa, “Combining Learning and Model Based Control via Discrete-Time Chen-Fliess Series”, Automatica, vol. 119, 2020, 109085.
  4. L. A. Duffaut Espinosa and M. Almassalkhi, “A Packetized Energy Management Macromodel with Quality of Service Guarantees for Demand-Side Resources,” IEEE Transactions on Power Systems, vol. 35, no. 5, 2020, 3660-3670.
  5. A. Khurram, R. Malhame, L. A. Duffaut Espinosa and M. Almassalkhi, “Identification of Water Demand Process of Electric Water Heaters from Energy Measurements,” Journal Electric Power Systems Research, vol. 189, 2020, 106625.
  6. L. A. Duffaut Espinosa, F. Rosales and A. Posadas, “Embedding Spatial Variability in Rainfall Field Reconstruction”, International Journal of Remote Sensing, vol. 39, no. 9, 2018, pp. 2884-2905.
  7. 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.
  8. 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,” PLOSONE, vol. 12, no. 1, 2017, pp. 1-25.
  9. 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.
  10. 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.
  11. L. A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii and M. R. James, “Physical Realizability and Preservation of Commutation and Anticommutation Relations for N -Level Quantum Systems,” SIAM Journal on Control and Optimization, vol. 54, no. 2, 2016, pp. 632-661.
  12. A. Posadas, L. A. Duffaut Espinosa, C. Yarleque´, M. Carbajal, 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, 2015, pp. 383-402.
  13. 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.
  14. W. S. Gray, L. A. Duffaut Espinosa and K. Ebrahimi-Fard, “Faa` di Bruno Hopf Algebra of the Feedback Group for Multivariable Fliess Operators,” Systems and Control Letters, vol. 74, 2014, pp. 64-73.
  15. W. S. Gray, L. A. Duffaut Espinosa and M. Thitsa, “Left Inversion of Analytic Nonlinear SISO Systems via Formal Power Series Methods,” Automatica, vol. 50, no. 9, 2014, pp. 2381-2388.
  16. L. A. Duffaut Espinosa, W. S. Gray and O. R. Gonzólez, “On the convergence of Fliess operators driven by L2 -Ito^ processes,” Stochastics: An International Journal of Probability and Stochastic Processes, vol. 84, no. 4, 2012, pp. 507-532.
  17. W. S. Gray and L. A. Duffaut Espinosa, “A Faó di Bruno Hopf algebra for a group of Fliess operators with applications to feedback,” Systems and Control Letters, 2011, pp. 441-449.
  18. W. S. Gray, H. Herencia-Zapana, L. A. Duffaut Espinosa, and O. R. Gonzólez, “Bilinear system interconnections and generating series of weighted Petri nets,” Systems and Control Letters, vol. 58, no. 12, 2009, pp. 841-848.

Conference:

  1. L. A. Duffaut Espinosa, W. S. Gray and G. S. Venkatesh, “Learning Control for Voltage and Frequency Regulation of an Infinite Bus System,” International Conference on System Theory, Control and Computing, Sinaia, Romania, 2020.
  2. H. Mavalizadeh, L. A. Duffaut Espinosa and M. Almassalkhi, “Decentralized Frequency Control using Packet-based Energy Coordination,” 2020 IEEE International Conference on Communications, Control, and Computing Technologies for Smart Grids, accepted.
  3. L. A. Duffaut Espinosa, A. Khurram and M. Almassalkhi, “A Virtual Battery Model for Packetized Energy Management,” 59th IEEE Conference on Decision and Control, Korea, 2020, accepted.
  4. A. Khurram, R. Malhame, L. A. Duffaut Espinosa and M. Almassalkhi, “Identification of Water Demand Process of Electric Water Heaters from Energy Measurements,” 21st Power Systems Computation Conference, Lisbon, Portugal, 2020.
  5. G. S. Venkatesh, W. S. Gray and L. A. Duffaut Espinosa, “Combining Learning and Model Based Multivariable Control,” 58th IEEE Conference on Decision and Control, Nice, France, 2019, pp. 1013-1018.
  6. W. S. Gray, G. S. Venkatesh, L. A. Duffaut Espinosa, “Discrete-time Chen Series for Time Discretization and Machine Learning”, Proc. 53rd Conference on Information Sciences and Systems, Baltimore, Maryland, 2019.
  7. L. A. Duffaut Espinosa and Jeff Frolik, “A localized and packetized approach to distributed power inverter management”, 2019 IEEE Power & Energy Society General Meeting, Atlanta, Georgia, 2019.
  8. W. S. Gray, G. S. Venkatesh, L. A. Duffaut Espinosa, “Combining Learning and Model Based Control: Case Study for Single-Input Lotka-Volterra System”, Proc. 2019 American Control Conference, Philadelphia, Pennsylvania, 2019, pp. 928-933.
  9. L. A. Duffaut Espinosa and W. S. Gray, “Fliess Operator Representations of Nonlinear Markov Switched Systems and their Parallel Interconnections”, Proc. 23nd International Symposium on the Mathematical Theory of Networks and Systems, Hong Kong, 2018, pp. 429–434.
  10. W. S. Gray and L. A. Duffaut Espinosa, “Dynamic Output Feedback Invariants of Full Relative Degree Nonlinear SISO Systems”, Proc. 23nd International Symposium on the Mathematical Theory of Networks and Systems, Hong Kong, 2018, pp. 762–768.
  11. 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.
  12. 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, pp. 1394–1400.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. W. S. Gray, L. A. Duffaut Espinosa and K. Ebrahimi-Fard, “Discrete-Time Approximations of Fliess Operators,” Proc. 2016 American Control Conference, Boston, USA, 2016, pp. 2433–2439.
  22. 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, 2015, pp. 6472–6477.
  23. 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.
  24. 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.
  25. L. A. Duffaut Espinosa, W. S. Gray and K. Ebrahimi-Fard, “Dendriform-Tree Setting for Fully Noncommutative Fliess Operators,” Proc. 53rd IEEE Conference on Decision and Control, Los Angeles, California, 2014, pp. 4814–4819.
  26. 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.
  27. W. S. Gray and L. A. Duffaut Espinosa and K. Ebrahimi-Fard, “Recursive Algorithm for the Antipode in the SISO FeedbackProduct,” Proc. 21st International Symposium on the Mathematical Theory of Networks and Systems, Groningen, The Netherlands, 2014, pp. 1088–1093.
  28. 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.
  29. 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.
  30. 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, 313–318.
  31. 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.
  32. 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.
  33. 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.
  34. W. S. Gray, M. Thitsa and L. A. Duffaut Espinosa, “Inversion of Analytic Input-Output Systems via Formal Power Series,” Proc. 15th Latin American Control Conference, Lima, Peru´, 2012.
  35. L. A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii and M. R. James, “Physical Realizability of Multi-Level Quantum Systems,” Proc. 2012 Australian Control Conference, Sydney, Australia, 2012, pp. 19-23.
  36. 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.
  37. 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, Melbourne, Australia, 2012.
  38. W. S. Gray and L. A. Duffaut Espinosa, “A Faó di Bruno Hopf algebra for a group of Fliess operators with applications to feedback,” Proc. 50th IEEE Conference on Decision and Control and European Control Conference, Orlando Florida, 2011, pp. 3848-3854.
  39. Danielle C. Tarraf and L. A. Duffaut Espinosa, “On finite memory approximations constructed from Input/Output snapshots,” Proc. 50th IEEE Conference on Decision and Control and European Control Conference, Orlando Florida, 2011, pp. 3966-3973.
  40. L. A. Duffaut Espinosa and W. S. Gray, “Functional series expansions for continuous-time switched systems,” Proc. 2011 American Control Conference, San Francisco, 2011, pp. 2607-2612.
  41. L. A. Duffaut Espinosa, W. S. Gray and O. R. Gonzólez, “On the local convergence of Fliess operators driven by L2 -Ito^ random processes,” Proc. 49th IEEE Conference on Decision and Control, Atlanta, Georgia, 2010, pp. 2631-2637.
  42. L. A. Duffaut Espinosa, W. S. Gray and O. R. Gonzólez, “On the absolute convergence of Fliess operators driven by L2-Ito^ processes,” Proc. 42nd IEEE Southeastern Symposium on System Theory, Tyler, Texas, 2010, pp. 280-285.
  43. L. A. Duffaut Espinosa, W. S. Gray and O. R. Gonzólez, “On Fliess operators driven by L2 -Ito^ random processes,” Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009, pp. 7478- 7484.
  44. L. A. Duffaut Espinosa, W. S. Gray and O. R. Gonzólez, “Growth bounds for iterated integrals of L2 -Ito^ random processes,” Proc. 41st IEEE Southeastern Symposium on System Theory, Tullahoma, Tennessee, 2009, pp. 223-229.
  45. W. S. Gray, H. Herencia-Zapana, L. A. Duffaut Espinosa and O. R. Gonzólez, “On cascades of bilinear system’s and generating series of weighted Petri nets,” Proc. 47th IEEE Conference on Decision and Control, Cancun, Mexico, 2008, pp. 4115-4120.
  46. L. A. Duffaut Espinosa, W. S. Gray and O. R. Gonzólez, “On the bilinearity of cascaded bilinear systems,” Proc. 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, pp. 5581-5587.
  47. L. A. Duffaut Espinosa, W. S. Gray and O. R. Gonzólez, “On the rationality of the composition product: a survey,” Proc. 39th IEEE Southeastern Symposium on System Theory, Macon, Georgia, 2007, pp. 238-243.
  48. L. A. Duffaut Espinosa, A. D. Posadas and R. Quiroz, “Extracción de bordes de imágenes digitales a través del anólisis multifractal,” Anales del VIII Simposio Nacional de Estudiantes de Física, Universidad Nacional San Antonio Abad del Cusco, Cusco, Perú, 2004.

Book Chapters:

  1. 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, Springer, 2018.
  2. M. Almassalkhi, L. A. Duffaut Espinosa, P. Hines, J. Frolik, S. Paudyal 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, 2018.
  3. W. S. Gray and L. A. Duffaut Espinosa, “A Faá 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.

Published Abstracts

  1. A. Posadas, C. Yarlequé, M. Carbajal, H. Heidinger, L. Carvalho, C. Jones, L. A. Duffaut Espinosa and R. Quiroz, Climate-Smart Agriculture: Global Science Conference, “The random cascade model: an approach for spatial downscaling of rainfall signals in heterogeneous terrain,” University of California Davis, Davis, California, 2013.
  2. L. A. Duffaut Espinosa, W. S. Gray and M. Thitsa, 8th International Purdue Symposium on Statistics, “Cascade of nonlinear systems driven by rough paths,” Purdue University, West Lafayette, Indiana, 2012.
  3. J. R. Donat, G. Carrasco, L. A. Duffaut Espinosa and 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.
  4. 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.
  5. L. A. Duffaut Espinosa, “On the Well-posedness of Cascades of Analytic Nonlinear Input-output Systems Driven by Noise,” Workshop on Rough Paths and Combinatorics in Control Theory, San Diego, California, 2011 (invited).
  6. 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).
  7. 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).



Journals | Conferences | Book Chapters | Published Abstracts