Janos Turi

Professor - Mathematical Sciences
 
972-883-2183
FO2408A
Personal Page
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

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
Parameter Identification in a Respiratory Control System Model (with F. Hartung), submitted to Springer Lecture Notes in Mathematics Biosciences. forthcoming - 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
Equations with Advanced Arguments in a Segway Model (with T. Insperger, G. Stepan, and R. Wohlfart), MaMek 2011, Miskolc, Hungary. 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
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
Balancing Using Accelerometers and Equations with Advanced Arguments (with T. Insperger, G. Stepan, and R. Wohlfart), in the Proceedings of the 9th IFAC Workshop on Time Delay Systems, June 7-9, 2010, 6 pages.  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
Motion Control of an Under Actuated Service Robot Using Natural Coordinates (with L. Bencsik, L.L. Kovacs, G. Stepan, and A. Zelei), in "Robot Design, Dynamics and Control (CISM International Centre for Mechanical Sciences)", v. 524, W. Schiehlen and V. Parenti-Castelli eds., Springer Wien New York, 2010.  2010 - Publication

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]

Awards

20 Years of Service Award - [2010]

Additional Information

Statements on Accomplishments and Future Plans
  • 1986 7th International Conference on Nonlinear Analysis, Arlington, Texas, July.
  • 1987 The 2nd Howard University Symposium on Nonlinear Semigroups, PDEs, and Attractors, Washington D.C., August.
  • 1988 International Conference on Differential Equations, Columbus, Ohio, March.
  • 1988 Virginia Polytechnic Institute and State University, Blacksburg, Virginia, May.
  • 1988 27th IEEE-CDC, Austin, Texas, December.
  • 1989 Brown University, Providence, Rhode Island, April.
  • 1989 International Conference on Differential Equations:Theory and Applications in Stability and Control, Colorado Springs, Colorado, June.
  • 1989 Intemational Conference on Dynamical Systems, Control Theory, and Applications, Dayton, Ohio, June.
  • 1989 International Conference on Distributed Parameter Control, IMA, University of Minnesota, Minneapolis, August.
  • 1989 NASA--AMES--U.C. Berkeley Workshop on Nonlinear Flight Control, U.C. Berkeley, Berkeley, Califomia, August.
  • 1989 Institut fur Mathematik, Karl-Franzens-Universitat Graz, Graz, Austria, November.
  • 1989 Universidad Polytechnika de Madrid, Facultad de Informatica,Madrid, Spain, November.
  • 1990 Georgia Institute of Technology, Center for Dynamical Systems and Nonlinear Studies, Atlanta, Georgia. January.
  • 1990 University of Southem Califomia, Center for Applied Mathematical Sciences, Los Angeles, California, March.
  • 1990 University of Minnesota at Duluth, Duluth, Minnesota, March.
  • 1990 IMA, University of Minnesota, Minneapolis, Minnesota, March-April (3 lectures).
  • 1990 International Conference on the Numerical Solution of Volterra and Delay Equations, Arizona State University, Tempe, Arizona, May.
  • 1990 Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands, June.
  • 1990 Intemational Conference on Control and Estimation of Distributed Parameter Systems, Vorau, Austria, July.
  • 1990 University of Southern California, Center for Applied Mathematical Sciences, Los Angeles, California, November.
  • 1990 Second SLAM Conference on Linear Algebra, Signals, Systems, Control, San Francisco, Califomia, November.
  • 1990 University of Texas at San Antonio, Texas, November.
  • 1991 University of Arkansas, Fayetteville, Arkansas, April.
  • 1991 Ohio State University, Columbus, Ohio, May.
  • 1991 Intemational Conference on Differential Equations, The University of Texas Pan American, Edinburg, Texas, May.
  • 1991 ICAM, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, August.
  • 1991 CAMS, University of Southern Califomia, Los Angeles, California, September.
  • 1991 Pomona College, Claremont, Califomia, September.
  • 1991 Institut flur Mathematik, Karl-Franzens-Universitat Graz, Graz, Austria, December.
  • 1991 30th IEEE-CDC, Brighton, England, December.
  • 1991 Bolyai Institute, JATE, Szeged, Hungary, December.
  • 1992 Georgia Institute of Technology, Center for Dynamical Systems and Nonlinear Studies, Atlanta, Georgia, January.
  • 1992 ARRI Symposium on Nonlinear Systems, University of Texas at Arlington, Arlington, Texas, April.
  • 1992 World Congress of Nonlinear Analysts, Tampa, Florida, August.
  • 1992 Southern Methodist University, Dallas, Texas, September.
  • 1992 Midwest-Southeastern Atlantic Second Joint Regional Conference on Differential Equations, University of Kentucky, November.
  • 1992 31st lEEE-CDC, Tucson, Arizona, December.
  • 1993 Texas PDEs Conference, Texas A&M University, College Station,Texas, March.
  • 1993 1st IEEE Conference on Aerospace Control Systems, Westlake Village, California, May.
  • 1993 4th Colloquium on the Qualitative Theory of Differential Equations, Szeged, Hungary, August.
  • 1994 International Conference on Differential Equations and Applications to Biology and to Industry, Harvey Mudd College, Claremont, California, June.
  • 1994 Department of Electrical Engineering, Ohio State University, Colombus, Ohio, October.
  • 1994 23rd Midwest Differential Equations Conference, Norman, Oklahoma, October.
  • 1994 14th Southeastern Atlantic Regional Conference on Differential Equations, Knoxville, Tennessee, October.
  • 1994 33rd IEEE CDC, Orlando, Florida, December.
  • 1995 AMS Joint Mathematics Meetings, San Francisco, California, January.
  • 1995 Texas PDE conference, Rice University, Houston, Texas, April.
  • 1995 Second Mississippi State Conference on Differential Equations and Applications, April.
  • 1995 Third SIAM Conference on Control and Its Applications, St. Louis, Missouri, April.
  • 1995 15th Southeastern Regional Conference on Differential Equations, Raleigh, North Carolina, October.
  • 1995 34th IEEE-CDC, New Orleans, Louisiana, December.
  • 1996 International Conference on Nonlinear Problems in Aviation and Aerospace, Daytona Beach, Florida, May.
  • 1996 Volterra Centennial Symposium, UTA, Arlington, Texas, May.
  • 1996 Second International Conference on the Numerical Solution of Volterra and Delay Equations, ASU, Tempe, Arizona, May.
  • 1996 International Confernce on Control and Estimation of Distributed Parameter Systems, Vorau,
    Austria, July.
  • 1996 Fifth Colloquium on the Qualitative Theory of Differential Equations, Szeged, Hungary, July.
  • 1997 University of North Carolina at Greensboro, Greensboro, North Carolina, Febmary.
  • 1997 Third Mississippi State Conference on Differential Equations and Computational Simulations, Mississippi State University, Mississippi, May.
  • 1997 University of Veszprem, Veszprem, Hungary, May.
  • 1997 International Conference on Differential Equations and Dynamical Systems, University of Waterloo, Waterloo, Ontario, Canada, August.
  • 1997 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Berlin, Germany, August.
  • 1997 Workshop on "Dynamics of Differential Equations with Delays", Lorentz Center, Leiden University, Leiden, The Netherlands, October.
  • 1997 Third Midwest-Southeastern Atlantic Joint Regional Conference on Differential Equations, Vanderbilt University, Nashville, Tennessee, November.
  • 1998 The University of Strasbourg, Strasbourg, France, June.
  • 1999 The University of Aberystwyth, Aberystwyth, Wales, May.
  • 1999 The University of Tours, Tours, France, June.
  • 2000 Technical University in Budapest, Budapest, Hungary, March.
  • 2000 The University of Veszprem, Veszprem, Hungary, March.
  • 2000 Trends in Dynamical Systems, Karl-Franzens-Universitat, Graz, Austria, March.
  • 2000 The 3rd International Conference on Nonlinear Problems in Aviation and Aerospace, Daytona Beach, Florida, May.2000 Year 2000 International Confernce on Dynamical Systems and Differential Equations, Kennesaw State University, Kennesaw, Georgia, May.
  • 2000 The 3rd World Congress of Nonlinear Analysts, Catania, Sicily, Italy.
  • 2000 The 960th AMS Meeting, University of Alabama, Birmingham, Alabama, November.
  • 2001 Technical University of Munich, Munich, Germany, June.
  • 2001 Workshop on Cardiovascular-Respiratory Control Modeling, University of Graz, Graz, Austria, June.
  • 2002 University of Veszprem, Veszprem, Hungary, May.
  • 2002 The 4th International Conference on Dynamical Systems and Differential Equations, Wimington, NC, May.
  • 2002 UT Pan American, Edinburg, TX, October.
  • 2003 The 4th International Conference on Dynamic Systems and Applications, Atlanta, GA, May.
  • 2003 International Conference on Delay Differential and Difference Equations with Applications, Veszprem, Hungary, August.
  • 2003 ELTE (Applied Analysis), Budapest, Hungary, November.
  • 2003 IATE (Bolyai Institute), Szeged, Hungary, November.
  • 2003 University of Strasbourg, Strasbourg, France, November.
  • 2003 University of Leiden, Leiden, Netherlands, November.
  • 2003 University of Tours, Tours, France, November.
  • 2003 BME (Mathematical Institute), Budapest, Hungary, November.
  • 2003 BME (Applied Mechanics), Budapest, Hungary, December.
  • 2004 ELTE (Applied Analysis), Budapest, Hungary, March.
  • 2004 Veszprem University, Veszprem, Hungary, April.
  • 2004 BUTE Applied Mathematics Conference, God, Hungary, April.
  • 2004 AlMS'Fifth Intemational Conference on DSDE, Pomona, California, June.
  • 2004 Fourth World Congress of Nonlinear Analysts, Orlando, Florida, July.
  • 2004 International Conference on Differential Equations in Mathematical Biology, Nanaimo, Canada, July
  • 2004 43th IEEE CDC, The Atlantis, Paradise Island, The Bahamas, December.
  • 2005 AMS Sectional Meeting, Lubbock, Texas, April.
  • 2005 University of Memphis, Memphis, Tennessee, May.
  • 2005 AMS CBMS Conference, UT Pan American, Edinburg, Texas, May.
  • 2005 International Conference on Differential and Difference Equations and Applications, Melbourne, Florida, August.
  • 2005 44th IEEE CDC, Seville, Spain, December.
  • 2006 Prairie View A&M University, Prairie View, Texas, February.
  • 2006 Texas A&M University, College Station, Texas, May.
  • 2006 6th International Conference on Methematical Problems in Engineering and Aerospace Sciences, Budapest, Hungary, June.
  • 2006 BME (Applied Mechanics), Budapest, Hungary, December.
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
Doctoral Students Supervised
  • 1990 S.K.Kaprielian, Nonlinear Feedback Stabilization of AC/DC Power Systems, Ph.D. in Electrical Engineering (co-adviser)
  • 1991 G.Tumer, Spectral Conditions for Oscillations and Stabilization of Systems of Differential Equations with Piecewise Constant Arguments, Ph.D. in Mathematics, Claremont Graduate School (co-adviser).
  • 1993 L.Torres, Approximation Techniques for Control and Identification of Systems Govemed by Nonlinear Neutral Functional Differential Equations, Ph.D. in Mathematical Sciences, UTD.
  • 1994 F.Hartung, On Classes of Functional Differential Equations with State-Dependent Delays, Ph.D. in Mathematical Sciences, UTD.
  • 1996 C.W.Murphy, Diophantine Equations and the Direction-of-Arrival Problem for Phase lnterferometers, Ph.D. in Mathematical Sciences, UTD.
  • 2003 D.Seida, Mathematical Issues in Satellite Image Processing, Ph.D. in Mathematical Sciences, UTD.
  • 2005 T. Odushkin. Mathematical Models of Atomic Scale Deformations and Spatial Nonuniformities in Solid Bodies, Ph. D. in Mathematical Sciences, UTD