Janos Turi

Janos Turi

Professor - Mathematical Sciences
 
972-883-2183
FO 2.408A
Personal webpage
Tags: optimal control theory functional differential equations integral equations approximation theory numerical analysis applied functional analysis

Professional Preparation

Ph.D. - Mathematics
Virginia Polytechnical Institute and State University - 1986
M.S. - Electrical Engineering
Polytechnic University of Budapest - 1977
B.S. - Electrical Engineering
Polytechnic University of Budapest - 1975

Research Areas

Current Fields of Interest
  • Functional differential equations
  • Integral equations
  • Approximation theory
  • Optimal control theory
  • Numerical analysis
  • Applied functional analysis
  • Mathematics of finance

Publications

Parameter Identification in a Respiratory Control System Model (with F. Hartung), submitted to Springer Lecture Notes in Mathematics Biosciences. forthcoming - Publication
State Dependent Regenerative Effect in Milling Processes (with D. Bachraty and G. Stepan), submitted to ASME Computational and Nonlinear Dynamics . forthcoming - Publication
Obtaining the Critical Excitation for Elasto-Plastic Oscillators by Solving an Optimal Control Problem (with A. Bensoussan and K. Chandrasekaran) submitted to Physica D. forthcoming - Publication
Equations with Advanced Arguments in a Segway Model (with T. Insperger, G. Stepan, and R. Wohlfart), MaMek 2011, Miskolc, Hungary. 2011 - Publication
Feedback Delays and Advanced Arguments in a Simple Balancing Problem (with T. Insperger , G. Stepan, and R. Wohlfart), submitted to ENOC 2011, Rome, Italy. 2011 - Publication
Delayed Feedback of Sampled Higher Derivatives (with T. Insperger and G. Stepan), Phil. Trans. R. Soc. A., v. 368 (2010), 469-482.  2010 - Publication
Optimal Control of Variational Inequalities (with A. Bensoussan and K. Chandrasekaran), Communications in Information and Systems, v. 10, 2010, 203-220 .  2010 - Publication
On a Class of Partial Differential Equations with Nonlocal Dirichlet Boundary Conditions (with A. Bensoussan), in "Applied and Numerical Partial Differential Equations, Computational Methods in Applied Sciences", v. 15, W. Fitzgibbon, Y.A. Kuznetsov, P. Neittaanmaki, J. Periaux, and O. Pironneau eds., Springer Netherlands, 2010, 9-23.  2010 - Publication

Awards

20 Years of Service Award - [2010]

Appointments

Visiting Professor
Budapest University of Technology [2003–2004]
Professor
University of Texas at Dallas [1996–Present]
Visiting Professor
Karl Franzens Universitt [1993–1994]
Associate Professor
University of Texas at Dallas [1992–1996]
Assistant Professor
University of Texas at Dallas [1990–1992]
Research Associate
Virginia Tech [1986–1986]
Assistant Professor
Worcester Polytechnic Institute [1986–1990]
Teaching Assistant & Research Assistant
Virginia Tech [1981–1986]
Lecturer
Polytechnic University, Budapest [1976–1980]

Additional Information

Masters Students Supervised
  • 1989 M. A. Durfee, Techniques for Identification and Optimization in Quality Control, M.S. in Applied Mathematics, WPI.
  • 1989 M. S. Ali, Design, Development, and Testing of a Real-Time Impedance Control System for Deburring Operations, M.S. in Mechanical Engineering, WPI.
  • 1990 A. Ahmed, Stability Analysis of Laminar Boundary Layers Using the Finite Element Method, M.S. in Applied Mathematics, WPI.
  • 1990 C. R. Rose, Primary Objective and Energy Regeneration Control: Analysis of a Generalized Dynamic Manufacturing System, M.S. in Manufacturing Systems Engineering, WPI.
  • 1995 Thomas C. Hagen, Well-Posedness and Global Existence of Abstract Cauchy Problem, M.S. Thesis in Mathematical Sciences, UTD.
  • 1997 A.Searcy, Geological Surface Evolution Modeling: Numerical Simulations Using Diffusion-Type Equation, M.S. Thesis in Mathematical Sciences, UTD.
  • 2000 J .Voell,>
  • 2002 L. Kollar, Numerical Stability Analysis of a Respiratory Control System Model. M.S. Thesis in Mathematical Sciences, UTD
Other Professional Activities

Refereed articles for

  • SIAM Reviews
  • Quarterly J. of Applied Mathematics
  • International J. for Numerical Methods in Engineering
  • IEEE Transactions on Automatic Control
  • ASCE--Aerospace Division
  • J. of Mathematical Analysis and Applications
  • J. of Mathematical Systems, Estimation, and Control
  • ASME J. of Dynamic Systems, Measurement and Control
  • J. of Differential Equations
  • J. of Nonlinear Dynamics
  • IEEE-CDC
  • Mathematical and Computer Modeling
  • Mathematical Reviews
  • Applied Numerical Mathematics
  • J. of Mathematical Biology
  • Automatica
  • Proceedings of AMS

Organizer of the Period of Concentration , Control and Identification for Distributed Parameter Systems, in the Distinguished Lecture Series of Spring 91 at UTD.
Organized the UTD Center for Engineering Mathematics: Workshop on Mathematical Modeling, April 1992.
Graduate Advisor in Applied Mathematics at UTD, January 1991 -- January1993.
Organizer of the Period of Concentration , Mathematical Modeling, in the Distinguished Lecture Series, Spring 93 at UTD.
Co-organizer of invited section on "Modeling for Identification and Control" for the 34th CDC, New Orleans, 1995.
Graduate Advisor in Applied Mathematics at UTD, September 95 -- May 1998.
Served as a member of the International Organizing Committee for the "International Conference on Nonlinear Problems in Aviation and Aerospace 96" held in Daytona Beach, Florida, May 1996.
Co-organizer od invited section on "Modeling, Control, and Estimation of Dynamical Systems" at the "Second World Congress of Nonlinear Analysts" held in Athens, Greece, July 1996.
Chaired section at the "Fifth Colloquium on the Qualitative Theory of Differential Equations" held in Szeged, Hungary, July-August, 1996.
Chaired section at the "International Conference on Differential Equations and Dynamical Systems" held in Waterloo, Ontario, Canada, August 1997.
UTD AMP Mentor, 1998-1999.
Served as a member of the International Organizing Committee for the "3rd International Conference on Nonlinear Problems in Aviation and Aerospace 2000" held in Daytona Beach, Florida, May 2000.
Co-organizer of invited sections on "Optimal Design and Control" and "Integro-Differential and
Volterra Equations: Numerical Techniques, Simulations and Applications" at the "3rd World Congress of Nonlinear Analysts" held in Catania, Italy, July 2000.
Served as a member of the Global Organizing Committee for the "3rd World Congress of Nonlinear Analysts" held in Catania, Italy, July 2000.
Departmental seminar organizer, 2000 - 2006.
Organized special session on "Ordinary and Functional Differential Equations" at the "International
Conference on Differential and Difference Equations and Applications" held in Melbourne, Florida, August 2005.
Undergraduate Advisor in Applied Mathematics at UTD, September 2005 - present.
Supervised Senior Honor's Thesis for Curtis Klager (Spring 2005) and Nicholas Walker (Fall 2005).
Supervised Senior Honor's Thesis for Michael Seligson (Spring 2006).
Organized special session "B oundary Value Problems in En gineering" at the "6th International Conference on Mathematical Problems in Engineering and Aerospace Seiences", held in Budapest, Hungary, June 2006.
 

Research Grants and Contracts
  • 1986--1987 Co-investigator on research projects sponsored by General Dynamics (Electric Boat Division) and United Technologies Corporation.
  • 1987 Principal Investigator on research project sponsored by WPI.
  • 1987--1988 Principal Investigator (with J. H. Kane and S. Saigal) on research project sponsored by Wyman Gordon Company.
  • 1987--1988 Associate Investigator on research project sponsored by DARPA.
  • 1988--1989 Principal Investigator (with S. M. Rankin HI., M. Humi, T. J. Bridges and R. Lui) on NSF Equipment Grant.
  • 1989 Principal Investigator on research project sponsored by WPI.
  • 1989--1990 Principal Investigator on NSF Engineering Initiation Award
  • 1990--1991 Co-Principal Investigator on research project sponsored byAFOSR.
  • 1989--1992 Principal Investigator on research project sponsored by NSF .
  • 1993--1994 Received a one semester visiting professorship from Karl-Franzens-Universitat Graz, Graz, Austria to do research on singular integro-differential equations of neutral type.
  • 1995--1998 Principal Investigator on Cooperative Research Project sponsored by NSF (U.S.-Austria Cooperative Research in Applied Mathematics)
  • 2003-2004 Principal Investigator on research project sponsored by the Hungarian Academy of Sciences (in the Domus Hungarica Scientiarium et Artium program)
  • 2005-2008 Associate Investigator on research project sponsored by the French Atomic Agency (CEA)