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Polish-American mathematician (born 1948) From Wikipedia, the free encyclopedia
Irena Lasiecka (Polish pronunciation: [iˈrɛna laˈɕɛt͡ska]; born February 4, 1948) is a Polish-American mathematician, a Distinguished University Professor of mathematics and chair of the mathematics department at the University of Memphis. She is also co-editor-in-chief of two academic journals, Applied Mathematics & Optimization and Evolution Equations & Control Theory.[1]
Irena Lasiecka | |
---|---|
Born | |
Nationality | Polish |
Education | University of Warsaw, Ph.D in applied mathematics, 1972 |
Occupation(s) | Mathematician and professor of mathematics |
Years active | 44 |
Known for | Research in applied mathematics |
Notable work | Applied Mathematics: Control Theory and Optimization Approximately 100 research papers published in major journals. |
Board member of | American Mathematical Society
International Federal Information Processes Society of Industrial and Applied Mathematics |
Awards | Fellow of the American Association for the Advancement of Science (2023) Richard E. Bellman Control Heritage Award (2019) W. T. and Idalia Reid Prize (2011) IFIP Silver Core Award (1989) Polish Academy of Sciences Award (1979) |
Lasiecka earned her Ph.D. in 1975 from the University of Warsaw under the supervision of Andrzej Wierzbicki.[2] In 2014, she became a fellow of the American Mathematical Society "for contributions to control theory of partial differential equations, mentorship, and service to professional societies."[3]
Her specific areas of study are partial differential equations and related control theory, non-Linear PDEs, the optimization theory, calculus of variations, and boundary stabilization.
Irena Lasiecka was born and raised in Poland, where she received her initial background in mathematics. She studied math for many years at the University of Warsaw, where she earned her Master of Science degree in applied mathematics in 1972. A few years later, she received her PhD from the same university in the same field of study.[4]
After receiving her PhD, Lasiecka started to transfer her knowledge of Applied Mathematics to others in addition to more personal studying and research. Her first teaching job was at the Polish Academy of Sciences in 1975, and she later ventured to the United States a few years later, teaching at the University of California, Los Angeles. She has been teaching in the US ever since. The following is a chart listing the institutions in which Lasiecka has been a teaching faculty member of.[4]
University | Location of School | Years There | Area of University | Status |
Polish Academy of Sciences | Warsaw, Poland | 1975-1980 | Control Theory Institute | Assistant Professor |
University of California, Los Angeles | Los Angeles, CA | 1977-1980 | Systems Science Institute | Postdoctoral Fellow 1977–1979; Visiting Assistant Professor, 1979-1980 |
University of Florida | Gainesville, Florida | 1980-1987 | Mathematics Department | Assistant Professor, 1980–1981; Associate Professor, 1981–1984; Professor, 1984-1987 |
University of Virginia | Charlottesville, Virginia | 1987-2013 | Applied Mathematics and Mathematics departments | Department of Applied Mathematics, Professor, 1987–1998; Department of Mathematics, Professor 1998–2011; Commonwealth Professor of Mathematics, 2011–present |
University of Memphis | Memphis, Tennessee | 2013–present | Mathematics Department, chair | University distinguished professor |
Optimization is the mathematical practice of finding the maximum or minimum values for a specific function. It has many real-world uses, and is a common practice for people of many different professions.
The work of Lasiecka involves the optimization differential systems. These involve an optimization problems over functions, with a constraint that relates a function to its derivatives. She has written extensively about this topic in her collaborative work Optimization Methods in Partial Differential Equations.[5]
Control Theory is one of Irena Lasiecka's chief areas of study. She begins her book, Mathematical Control Theory of Coupled PDEs, with a description of what Control Theory is. She states, " The classical viewpoint taken in the study of differential equations consisted of the (passive) analysis of the evolution properties displayed by a specific equation, or a class of equations, in response to given data. Control theory, however, injects an active mode of synthesis in the study of differential equations: it seeks to influence their dynamical evolution by selecting and synthesizing suitable data (input functions or control functions) from within a preassigned class, to achieve a predetermined desired outcome or performance."[6]
In simpler terms, control theory is the ability to influence change in a system, something that changes over time. In order to better understand this concept, it is useful to know a few key phrases. A state is a representation of what the system is currently doing, dynamics is how the state changes, reference is what we want the system to do, an output is the measurements of the system, an input is a control signal, and feedback is the mapping from outputs to inputs. This can be applied to many facets of real-life, especially in various engineering fields that concentrate on the control of changes in their field. A good example of control theory applied to the real world is something as simple as a thermostat. The output in this system is temperature, and the control is turning the dial on or off, or to a higher or lower temperature.[7]
Lasiecka uses this theory to further understand partial differential equations. She attempts to answer the questions of how to take advantage of a model in order to improve the system's performance. This idea is paired her desire to understand mathematical solutions of the problems of well-posedness and regularity, stabilization and stability, and optimal control for finite or infinite horizon problems and existence and uniqueness of associated Riccati equations. In Mathematical Control Theory of Coupled PDEs, Lasiecka studies this concept through waves and hyperbolic models. This book was written in order to "help engineers and professionals involved in materials science and aerospace engineering to solve fundamental theoretical control problems. Applied mathematicians and theoretical engineers with an interest in the mathematical quantitative analysis will find this text useful."[6]
Irena has written and edited numerous research journals and articles in addition to the above books.
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