Research of Urszula Ledzewicz

 

INVITED LECTURES, PAPERS PRESENTED, COLLOQUIUM TALKS

 

  1. Optimal and suboptimal protocols for a class of mathematical models of tumor growth under angiogenic inhibitors, First Joint AMS-NZMS International Meeting, Victoria University of Wellington, New Zealand, December 2007
  2. Synthesis of optimal controls for mathematical models of tumor anti-angiogenesis, First Joint AMS-PTM International Meeting, Warsaw University, Warsaw, Poland, August 2007
  3. A comparison of optimal and sub-optimal strategies for models of tumor anti-angiogenesis, Part I, 23rd IFIP TC7 Conference on Modeling and Optimization, HGH University of Science and Tchnology, Cracow, Poland, July 2007
  4. Dynamics and control of cancer growth under anti-angiogenic treatment, Fifth International Conference on Dynamical Systems and Applications, Morehouse College, Atlanta, June 2007
  5. Optimal protocols for mathematical models of tumor anti-angiogenesis, Universidad Mayor de San Marcos, Lima, Peru, Colloquium’s talk, March 2007
  6. Application of optimal control to mathematical models of tumor anti-angiogenesis, Arizona State University, Dept. of Mathematics, Colloquium’s talk, February 2007
  7. Control of dynamical systems in models for cancer treatments, (plenary talk) Fifth WSEAS Conference on Systems Science and Simulation in Engineering, Tenerife, Spain, December 2006 
  8. Singular controls in systems describing tumor anti-angiogenesis, Fifth WSEAS Conference on Systems Science and Simulation in Engineering, Tenerife, Spain, December 2006
  9. Minimizing the tumor size in mathematical models for novel cancer treatment: anti-angiogenesis, Eighth Midwest Optimization Conference, Miami University, Oxford, OH, October 2006
  10. Application of optimal control to a system describing tumor anti-angiogenesis, 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, July 2006,
  11. A comparison of optimal controls for mathematical models of tumor anti-angiogenesis, World Conference on Differential Equations and Applications (EQUA-DIFF 06), Marrakech, Morocco, June 2006
  12. An Optimal Control Approach to Mathematical Models of Tumor Anti-Angiogenesis Dept. of Mathematics and Applied Mechanics, Warsaw University, Warsaw, Poland, June 2006
  13. New perspectives in control of biomedical systems, (plenary talk)  ICGST International Conference on Automatic Control and System Engineering ACSE-05, Cairo, Egypt, December 19-21, 2005.
  14. Optimal Control for a System Modelling Tumor Anti-Angiogenesis,  ICGST International Conference on Automatic Control and System Engineering ACSE-05, Cairo, Egypt, December 19-21, 2005.
  15. A synthesis of optimal controls for a model of tumor growth under angiogenic inhibitors, the 44rd IEEE Conference on Decision and Control, Seville, Spain, December 12-15, 2005.
  16. Analysis of new mathematical models in biomedicine, Lodz University, Poland, December 6, 2005.
  17. New directions in analysis and optimal control of biomedical systems, The Stefan Banach International Mathematical Center, Polish Academy of Sciences, Warsaw, Poland, December 8, 2005
  18. Optimal control for mathematical models of cancer treatments under evolving drug resistance, Imperial College, London, England, June 9, 2005.
  19. Analysis of optimal controls for a mathematical model of tumor anti-angiogenesis, Workshop on Angiogenesis and Other Aspects of Tumor Growth, Warsaw University, Poland, June 15, 2005.
  20. Application of optimal control to modeling of a new method of cancer treatment: anti-angiogenesis, Lodz University, Poland, June 19, 2005.
  21. Modeling and dynamics for the optimal control of tumor anti-angiogenesis, International Workshop on Differential Equations and Dynamic Systems, Guelph, Canada, July 29 -- July 31, 2005.
  22. Challenges in mathematical modeling of cancer treatments, Biotechnology and Bioengineering Symposium, SIUE, April 15, 2005.
  23. Dynamics of HIV infection: Complexity of models, treatments, Biotechnology and Bioengineering Symposium, SIUE, April 15, 2005.
  24. New hope for cancer treatments: Anti-tumor angiogenesis, analysis of a mathematical model, Biotechnology and Bioengineering Symposium, SIUE, April 15, 2005.
  25. Application of optimal control to models for treatment of cancer and HIV, Department of Mathematics and Statistics, SIUE, May 2005.
  26. The role of PK/PD and drug resistance in models for cancer chemotherapy, International Conference on Medical Information and Technologies, Miedzybrodzie Zywieckie, Poland, October 2004
  27. The role of pharmacokinetics (PK) and pharmacodynamics (PD) in models for cancer chemotherapy, Fourth World Congress of Nonlinear Analysis, Orlando, Florida, July 2004.
  28. International Collaboration Research Grants Opportunities in Science and Engineering, Luncheon “Women in Analysis” at Fourth World Congress of Nonlinear Analysis, Orlando, Florida, July 2004.
  29.  Application of control theory in modeling of cancer chemotherapy, International Conference on Control, Automation and Systems, Bangkok, Thailand, August 2004
  30. Analysis of the bone marrow model with pharmacokinetics (PK), Symposium on Nonlinear Analysis, Lodz, Poland, January 2004
  31. Optimal control for a bilinear model with recruiting agent in cancer chemotherapy, IEEE Conference on Decision and Control, Maui, December 2003.
  32. Mathematical Methods for the Analysis of Optimal Controls in Compartmental Models for Cancer Chemotherapy, Workshop on Mathematical Modeling of Cell Proliferation and Cancer Chemotherapy, Mathematical Biosciences Institute, Columbus, Ohio, November 2003
  33. Analysis of optimal controls for a class of biomedical systems, 24th Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 2003.
  34. The role of the objective in the control of biomedical models, Silesian Technical University, Gliwice, Poland, June 2003
  35. Control of diseases with strong cell proliferation rates: cancer and HIV, University of Lodz, Poland, June 2003
  36.  Local optimality of extremals in mathematical models for chemotherapy, CIMPA School and Workshop on Geometric Non-linear Control, Campinas, Brazil, July 2003
  37.  The Role of Dynamics and Objective in Modeling Cancer Chemotherapy
    1. Fourth International Conference on Dynamic Systems and Applications
    2. Atlanta, Georgia, May 21-24, 2003
  38. Compartmental models for cancer chemotherapy, Department of Math. and Stat., SIUE, May 2003.
  39. Sufficient conditions for optimality of controls in biomedical systems, 41st IEEE Conference on Decision and Control (CDC), Las Vegas, Nevada, December 2002,
  40. A comparison of optimal controls for a model in cancer chemotherapy with L1- and L2-type objectives,  International Conference on Optimization Methods and Software, Hangzhou, China, December 2002
  41. Sufficient conditions for optimal controls in biomedical systems, 1st Junior European Meeting on Control Theory and Stability, University of Bourgogne, Dijon, France, October 2002
  42. Optimality conditions for a class of biomedical models, University of Łódź, Poland, October 2002
  43. Optimal controls for a two-compartment model for cancer chemotherapy with quadratic objective”, 5th Portuguese Conference on Automatic Control (Controlo 2002), Aveiro, Portugal, September 2002
  44. Analysis of optimal controls for mathematical models of chemotherapy for cancer and HIV, University of Porto, Porto, Portugal, September 2002
  45. Analysis of optimal controls for mathematical models of chemotherapy for cancer and HIV, University of Minho, Guimaraes, Portugal, September 2002,
  46. “On optimal controls for a general mathematical model for chemotherapy of HIV”, at the 2002 American Control Conference, Anchorage, Alaska, May 2002.
  47. “Optimal control for a general class of models in chemotherapy of cancer and HIV,” 4th International Conference on Dynamical Systems and Differential Equations, Wilmington, North Carolina, May 2002
  48. “On a synthesis of optimal controls for a mathematical model of cancer chemotherapy”, at the SIAM Conference on Control, San Diego, CA, July 11-14, 2001.
  49. “On optimal controls for a 3-compartment model of cancer chemotherapy,” at IASTED International Conference on Control and Applications, Banff, Canada, June 27-29, 2001.
  50. “On generalizations of the Euler-Lagrange equation”, at the Third World Congress of Nonlinear Analysts, Catania, Italy, July 2000.
  51. “Optimal control of mathematical models in cancer chemotherapy”, Colloquium talk at the University of Lodz, Lodz, Poland, June 2000.
  52. “On the synthesis of controls for a mathematical model of cancer chemotherapy,” 39th IEEE Conference on Decision and Control, Sydney, Australia, December 2000.
  53. “Optimal control for a mathematical model of cancer chemotherapy”, at IASTED International Conference on Control and Applications, Cancun, Mexico, May 2000.
  54. “Perturbation feedback control law and its generalizations”, Colloquium talk at the University of Lodz, Lodz, Poland, June 1999.
  55. “High-order local Maximum Principle: theory, comparisons, examples”, Colloquium talk at Center for Viability and Control, Dauphine University, Paris, France, May 1999.
  56. “Perturbation feedback control and neighboring extremals in abnormal cases”, at IASTED International Conference on Control and Applications, Honolulu, Hawaii, August 1998.
  57. “High-order approximations in optimal control theory: A comparison of normal, abnormal and singular cases”, at the 13-th International Symposium on Mathematical Theory of Networks and Systems, Padova, Italy, July 1998.
  58. “High-order approximations in optimization and optimal control,” Colloquium talk at University of Florence, Florence, Italy, June 1998.
  59. “High-order approximations for abnormal bang-bang extremals”, at the 18th IFIP Conference on Optimization and Mathematical Modeling, Detroit, MI, July 21-25, 1997.
  60. “Comparison of first, second and third order approximations in optimal control: conditions for accessory problem”, Colloquium talk at the University of Lodz, Lodz, Poland, June 1997.
  61. “High-order Maximum Principle”, at the Conference on Optimal Control: Theory, Methods and Applications, at the University of Florida, Gainesville, February 27-March 1, 1997.
  62. “High-order approximations with applications to abnormal problems in optimization and optimal control”, Colloquium talk at the Florida Institute of Technology, February 24, 1997.
  63. "A high-order generalization of the Lyusternik theorem without surjectivity condition and its application to optimization", Second World Congress of Nonlinear Analysts, Athens, July 1996.
  64. "Optimality Conditions for Control Problems Governed by Abstract Semilinear Differential Equations in Complex Banach Space", at the International Conference on Dynamical Systems and Differential Equations, Springfield, Missouri, June 1996.
  65. "On high-order tangent cones and their applications in optimal control", 12-th International Symposium on the Mathematical Theory of Networks and Systems (MTNS-96), St. Louis (Missouri), June 24-28, 1996.
  66. "Extended Maximum principle and second-order condition for abnormal problems in optimal control", Colloquium Talk at the Institute of Mathematics, Lodz University, Lodz (Poland), January 1996
  67. "On a new type of approximating cones in optimization and extended Maximum Principle", at the University of Rhode Island, Kingston, August 16, 1995
  68. "Second order Dubovitskii-Milyutin theory and second order optimality conditions to abnormal optimal control problems", at a Special Session on Nonlinear Dynamics, Annual Meeting of AMS, San Francisco, January 1995.
  69. "Nontrivial optimality conditions in abnormal optimal control problems”, at the Third SIAM Conference on Control and Applications, St. Louis, MO, April 27-29, 1995.
  70. "Second order approximating cones for abnormal problems in optimization and optimal control", International Congress of Mathematicians, ICM94, Zurich, August 3-11, 1994.
  71. "Extension of the Dubovitskii-Milyutin method to second order approximating cones and its applications", at the Session of Polish Mathematical Society, University of Lodz, Poland, July 1994.  
  72. "First and second order conditions for optimality II. abnormal optimal control problems",  at the Conference on Optimization, Oxford (Ohio), May 12-13, 1994.
  73. "On abnormal problems in optimization and optimal control", at the Department of Applied Mathematics, University of Virginia, Charlottesville, May 16, 1994.
  74. "Pareto optimality conditions for abnormal optimization and optimal control problems", at the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993.
  75. "Generalizations of the Lusternik theorem and their applications to nonsmooth and abnormal problems in optimization and optimal control", at the First World Congress of Nonlinear Analysts, Tampa (Florida), August 19-26, 1992
  76. "On some type of higher order conditions for optimality and their applications to abnormal problems in control theory", at the Session of Polish Mathematical Society, University of Lodz, Poland, July 1992.
  77. "An extension of Maximum Principle for abnormal problems", at the Summer School on Control Theory, University of Montreal, Montreal, Canada, July 26-August 7, 1992.
  78. "On a certain type of Higher Order Maximum Principle (HMP)", at the AMS Annual Meeting in Baltimore, January 1992.
  79. "Abnormalities in optimal control problems of distributed parameter systems in Banach spaces", at the 20-th Midwest Conference of Differential Equations in Iowa City, December 6-7, 1991.
  80. "On nonregular optimization and abnormal optimal control problems", at Second International Conference of Industrial and Applied Mathematics, ICIAM 91, Washington, D.C., July, 1991.
  81. "Optimality conditions for abnormal optimal control problems of with additional equality constraints", at International Conference on the Theory and Applications of Differential Equations in Edinburg (Texas), May 1991.
  82. "Necessary conditions of optimality and Pareto optimality for abnormal optimization and optimal control problems", at Optimization Days, Montreal (Canada), May 1991.
  83. "On the Dubovitskii-Milyutin method and abnormal optimal control problems", at the Department of Systems Science and Mathematics, Washington University, April 1991
  84. "On some extension of the Pontryagin type maximum principle to the abnormal optimal control problems", at the AMS Annual Meeting in San Francisco, January 16-19, 1991.
  85. "Optimality conditions for abnormal optimal control problems of systems with terminal data", at the International Conference on the Theory of Differential Equations and Applications to Oceanography, Goa University (India), December 17-21, 1990.
  86. "On an abnormal optimal control problem", at the International Conference on Mathematical Theory of Control, IIT Bombay (India), December 10-15, 1990.
  87. "On optimal control of distributed parameter systems with terminal data", at the Nineteenth Annual Midwest Differential and Integral Equations Conference, Rolla (Missouri), October 19-20, 1990.
  88. "On optimization problems in the nonregular cases and abnormal optimal controls", at  Florida Institute of Technology, Melbourne, May 1990.
  89. "Conditions of optimality and Pareto optimality in nonregular extremum problems in Banach spaces and their applications to abnormal optimal control problems", at the XIX Conference of Applied Mathematics, Pradocin (Poland), September 19-25, 1990.  
  90. "The Euler - Lagrange equations for nonregular extremum problems in Banach spaces", at the AMS Annual Meeting, Louisville, January 1990.
  91. "On some optimal control problems of parabolic and hyperbolic equations", at the Midwest Conference on Differential Equations, Carbondale (Illinois), Nov.10-11, 1989.
  92. "Application of the Moser's technique to the tangent direction problem for nonlinear evolution equations", at the International Conference on Differential Equations, Theory and Applications to Stability and Control, Colorado Springs, (Colorado), June 7-10, 1989.
  93. "On  further extensions of the Dubovitskii-Milyutin formalism", at the AMS Annual Meeting, Phoenix, January 1989.
  94. "On extensions of the Dubovitskii-Milyutin method and their applications to optimal control of ordinary and partial differential equations", at Southern Illinois University at Carbondale, January 1989.
  95. "Application of some specifications of the Dubovitskii-Milyutin theorem to optimal control problems with additional equality constraints", at the University of Rhode Island, Kingston, August 1988.
  96. "On some optimal control problems of differential equations with additional equality contraints", at the International Conference in Honor of  Solomon Lefschetz and Joseph P.LaSalle ``30 Years of Modern Optimal Control Theory," Kingston (Rhode Island), June 1988.
  97. "Application of Global Linearization Iterative Methods to general optimal control problems in Banach spaces", at the International Conference on Theory and Applications of Differential Equations, Columbus (Ohio), April 1988.
  98. "The Euler-Lagrange equation in the presence of unbounded operator constraints" at the AMS Annual Meeting , Atlanta, January 1988.
  99. "On generalizations of the Duboviskii-Milyutin theorem in optimization and their applications", at Southwest Texas State University, San Marcos, April 1987.
  100. "Application of optimization methods under Frechet and Gateaux differentiability in Banach spaces to optimal control problems", at the University of New Hampshire, Durham, March 1987.
  101. "Some extensions of the Dubovitskii-Milyutin formalism and their applications to optimal control problems", at Southern Illinois University, Edwardsville, March 1987.
  102. "On the Dubovitskii-Milyutin formalism in the case of many equlity constraint and its applications to optimal control of systems governed by ordinary and partial differential equations" at the University of California, Irvine, February 1987.
  103. "On the optimization and optimal control problems with many equality constraints" at the University of West Virginia, February 1987
  104. “Application of the method of contractor directions to optimization and optimal control” at the AMS Annual Meeting, San Antonio, January 1987.
  105. “Applications of the method of contractor directions to optimization theory” at the Conference of Applied Mathematics, Sielpia, 1986.
  106. "Optimal control problems of ordinary and differential equations with equality contraints" at the International Conference on the Theory Applications of Differential Equations, Edinburg, May 1985.
  107. "Extremum principle for optimal control problems with mixed equality constraints" at the University of Cracow, May, 1984.
  108. "On the optimal control problems of ordinary differential equations with equality constraints" at the Session of the Polish Mathematical Society, March, 1984.
  109. "On some methods in discrete optimization", at the Conference of Applied Mathematics, Burzenin, 1981.

 

 

 




Urszula Ledzewicz / uledzew@siue.edu / Updated: January 7, 2007