457:
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.
401:
409:
464:. 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
453:
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."
476:
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
456:
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,
452:
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,
673:
Awarded {\bf SIAM Fellow} -2019 with the citation {\it For fundamental contributions to control theory of partial differential equations and their dissemination through numerous invited talks, administrative positions in professional societies, and the mentoring of many PhD students and
590:
for contribution to
Differential Equations and Control Theory- this award earned Lasiecka $ 10,000, and it was for fundamental contributions in control and optimization theory, specifically for work in dynamical systems governed by partial differential equations and their
432:
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
554:
The
Technical Achievement Award with the citation: "for outstanding contribution to nonlinear mathematical analysis and control," June 22, 2006, Budapest, Hungary, by ICNPAA - International Congress on Nonlinear Analysis and
1067:
653:
718:
Research monograph, Stabilization and
Controllability of Nonlinear Control Systems Governed by Partial Differential Equations (with R. Triggiani) in preparation under a contract from Kluwer Academic Publishers.
143:
707:
Differential and
Algebraic Riccati Equations with Applications to Boundary/Point Control Problems: Continuous Theory and Approximation Theory (with R. Triggiani), Springer Verlag, Lecture Notes 164, 1991,
429:
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.
261:
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
245:
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
1047:
1062:
1057:
692:
505:
1042:
1037:
373:
Department of
Applied Mathematics, Professor, 1987–1998; Department of Mathematics, Professor 1998–2011; Commonwealth Professor of Mathematics, 2011–present
1022:
1017:
269:. 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.
685:
148:
473:
1032:
899:
314:
266:
1027:
1012:
649:
Induced to the 2015 Class of AMS Fellows for contribution to control theory of PDE's, mentorship and service to professional societies.
763:
SISSA Lecture Notes: Well-Posedness and Long-Time
Behavior of Second-Order Evolutions with Critical Exponents, AMS Publishing, to appear.
636:
681:
871:
832:
222:
117:
218:"for contributions to control theory of partial differential equations, mentorship, and service to professional societies."
801:
461:
215:
129:
955:
941:
711:
Research monograph, Deterministic Control Theory for Infinite Dimensional Systems, vols. I and II (with R. Triggiani)
601:
587:
153:
495:
292:
262:
163:
426:
362:
568:
Principal lecturer, Nonlinear Hyperbolic PDEs, Dispersive and Transport Equation (HCDTE), 7 lectures, SISSA,
515:
670:
Plenary Lecture at the Conference "Paths in Mathematical Control Theory", Torino, Italy, February 27, 2018.
1007:
525:
357:
234:
558:
Appointed to the Nominating Committee for Nomination of Candidates for the 2008 (24th), 2009, 2010, 2011
657:
643:
532:
378:
336:
192:
565:
Awarded Honorary European Union Visiting Professorship at the University of Warsaw, Poland, Summer 2010
400:
1052:
767:
Irena has written and edited numerous research journals and articles in addition to the above books.
615:
489:
341:
207:
191:, a Distinguished University Professor of mathematics and chair of the mathematics department at the
72:
608:
230:
103:
688:
with the citation { for contribution to boundary control theory of distributed parameter systems }
736:
383:
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Commonwealth Professor of Mathematics, as of August 2011 (Endowed Chair), University of Virginia
742:
Tangential Boundary Stabilization of Navier-Stokes Equations (with V. Barbu and R. Triggiani),
895:
867:
732:
580:
408:
246:
465:
185:
180:
749:
Long-Time Behavior of Second-Order Equations with Nonlinear Damping (with I. Chueshov),
918:
1.2 What 's Control Theory, Anyway | Control of Mobile Robots | Free online Courses 2014
840:
265:
in 1975, and she later ventured to the United States a few years later, teaching at the
629:
445:
226:
524:
CMBS-NSF Conference, Principal Lecturer, Mathematical Control Theory of Coupled PDEs,
1001:
352:
Assistant Professor, 1980–1981; Associate Professor, 1981–1984; Professor, 1984-1987
188:
83:
62:
785:
894:. Philadelphia, PA: Society for Industrial and Applied Mathematics. pp. xi-7.
551:
Appointed to International Advisory Board of the Polish Academy of Sciences, 2006
977:"2022 AAAS Fellows | American Association for the Advancement of Science (AAAS)"
656:
Conference on Nonlinear Evolution Equations and Wave Phenomena, Georgia Center,
559:
545:
319:
916:
739:, L. Weis, R. Schnaubelt), Springer Verlag Lecture Notes in Mathematics, 2004.
812:
797:
622:
594:
Listed by StateStats.org in top 26 Women Professors in Virginia, May 9, 2013
976:
548:
with the citation: For Contribution to Boundary Control Systems, since 2004
249:
degree in applied mathematics in 1972. A few years later, she received her
576:
569:
331:
Postdoctoral Fellow 1977–1979; Visiting Assistant Professor, 1979-1980
721:
NSF-CMBS Lecture Notes: Mathematical Control Theory of Coupled PDE's,
614:
Ellis B. Stouffer Distinguished Lecture, Department of Mathematics,
448:
is one of Irena Lasiecka's chief areas of study. She begins her book,
539:
297:
211:
51:
47:
575:
Principal lecturer summer school, Linear and Nonlinear Evolutions,
501:
Creativity Extension Award by the National Science Foundation, 1987
210:
under the supervision of Andrzej Wierzbicki. In 2014, she became a
407:
404:
University of Warsaw, where Irena Lasiecka studied for many years.
399:
600:
Recipient of the Presidential Professorship in Sciences, Warsaw,
144:
Fellow of the American Association for the Advancement of Science
646:
Distinguished Fellow of the Collegium of Eminent Scientists-2014
250:
158:
607:
Principal Lecturer Recent Advances in PDE's with Application,
121:
Approximately 100 research papers published in major journals.
1068:
Fellows of the Society for Industrial and Applied Mathematics
412:
University of Memphis, where Lasiecka is currently teaching.
195:. She is also co-editor-in-chief of two academic journals,
538:
Principal Lectures: Autumn School on Evolution Equations,
511:
University Research Initiative Award from AFOSR, 1989-1992
665:
Mathematical Theory of Flow-Fluid Structure Interactions
677:
Plenary Speaker at ETAMM 2018 , Cracow, June 18, 2018.
864:
Optimization Methods in Partial Differential Equations
691:
In October 2022, Lasiecka was elected a Fellow of the
435:
Optimization Methods in Partial Differential Equations
663:
Plenary Speaker at the Oberwolfach Lectures Seminar
253:
from the same university in the same field of study.
115:
Applied Mathematics: Control Theory and Optimization
813:
List of Fellows of the American Mathematical Society
729:
Functional Analytic Methods for Evolution Equations
693:
American Association for the Advancement of Science
506:
International Federation for Information Processing
139:
125:
109:
98:
90:
79:
68:
58:
30:
23:
498:Award, 1979, for overall scientific contributions
472:Lasiecka studies this concept through waves and
460:Lasiecka uses this theory to further understand
370:Applied Mathematics and Mathematics departments
667:, Oberwolfach, Germany, November 21–26, 2016.
135:Society of Industrial and Applied Mathematics
8:
1048:Fellows of the American Mathematical Society
470:Mathematical Control Theory of Coupled PDEs,
450:Mathematical Control Theory of Coupled PDEs,
133:International Federal Information Processes
892:Mathematical Control Theory of Coupled PDEs
862:Cox, Steven; Lasiecka, Irena, eds. (1997).
206:Lasiecka earned her Ph.D. in 1975 from the
1063:21st-century American women mathematicians
1058:20th-century American women mathematicians
915:Control of Mobile Robots (March 1, 2014),
756:Von Karman Evolutions (with I. Chueshov),
20:
788:, Univ. of Memphis, retrieved 2014-12-17.
686:Richard E. Bellman Control Heritage Award
621:SIAM Reid Prize Lecture, Hyatt Regency,
149:Richard E. Bellman Control Heritage Award
16:Polish-American mathematician (born 1948)
271:
201:Evolution Equations & Control Theory
778:
628:Plenary Speaker at HYP-RIO 2014, IMPA,
514:Barrett Lectures- Principal Lecturer,
197:Applied Mathematics & Optimization
521:IEEE Distinguished Lecturer 1999-2002
417:Areas of Study in Applied Mathematics
315:University of California, Los Angeles
267:University of California, Los Angeles
179:
7:
1043:21st-century American mathematicians
1038:20th-century American mathematicians
936:
934:
885:
883:
827:
825:
823:
821:
715:, Cambridge University Press, 1999.
637:University of Alabama at Birmingham
492:Award, 1975, for Ph.D. dissertation
394:University distinguished professor
75:, Ph.D in applied mathematics, 1972
1023:21st-century Polish mathematicians
1018:20th-century Polish mathematicians
682:American Automatic Control Council
14:
758:Monograph Series, Springer Verlag
531:Distinguished Visiting Scholar,
221:Her specific areas of study are
635:Plenary Speaker at SIAM-SEAS,
462:partial differential equations
391:Mathematics Department, chair
237:, and boundary stabilization.
223:partial differential equations
184:; born February 4, 1948) is a
118:Partial Differential Equations
1:
1033:University of Memphis faculty
802:Mathematics Genealogy Project
639:, Alabama, March 20–25, 2015.
216:American Mathematical Society
130:American Mathematical Society
956:"SIAM Fellows Class of 2019"
866:. Contemporary Mathematics.
86:and professor of mathematics
1028:University of Warsaw alumni
1013:Polish women mathematicians
713:Encyclopedia of Mathematics
680:Awarded by the AACC-IFAC
588:W. T. and Idalia Reid Prize
154:W. T. and Idalia Reid Prize
1084:
674:postdoctoral associates. }
496:Polish Academy of Sciences
486:SI Highly Cited Researcher
328:Systems Science Institute
293:Polish Academy of Sciences
263:Polish Academy of Sciences
181:[iˈrɛnalaˈɕɛt͡ska]
164:Polish Academy of Sciences
632:, July 26-August 1, 2014.
611:, Milan, June 17–21, 2013
562:in Science and Technology
363:Charlottesville, Virginia
306:Control Theory Institute
890:Lasiecka, Irena (2007).
833:"University of Virginia"
241:Early life and education
161:Silver Core Award (1989)
815:, retrieved 2014-12-17.
583:, July 2011, 4 lectures
516:University of Tennessee
504:Silver Core Award from
349:Mathematics Department
229:, non-Linear PDEs, the
837:University of Virginia
526:University of Nebraska
413:
405:
358:University of Virginia
235:calculus of variations
658:University of Georgia
644:Kosciuszko Foundation
533:Texas Tech University
411:
403:
379:University of Memphis
337:University of Florida
193:University of Memphis
177:Polish pronunciation:
702:Publications (books)
616:University of Kansas
490:University of Warsaw
342:Gainesville, Florida
309:Assistant Professor
208:University of Warsaw
126:Board member of
73:University of Warsaw
660:, April 1–04, 2015.
652:Plenary Speaker at
618:. December 3, 2013.
609:University of Milan
602:Presidential Palace
477:this text useful."
284:Area of University
278:Location of School
231:optimization theory
104:applied mathematics
731:(co-authored with
542:, Italy, Nov. 2002
528:, August 4–9, 1999
414:
406:
384:Memphis, Tennessee
901:978-0-89871-486-9
753:, Vol. 195, 2008.
746:, vol. 181, 2005.
604:, October 9, 2012
481:Awards and honors
466:Riccati equations
398:
397:
247:Master of Science
170:
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91:Years active
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839:. Archived from
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41:February 4, 1948
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843:on May 15, 2021
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786:Faculty profile
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572:, May—June 2011
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186:Polish-American
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942:"Siam Connect"
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798:Irena Lasiecka
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751:Memoirs of AMS
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744:Memoirs of AMS
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173:Irena Lasiecka
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99:Known for
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25:Irena Lasiecka
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1008:Living people
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591:applications.
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84:Mathematician
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80:Occupation(s)
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64:
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53:
49:
43:(age 76)
33:
29:
22:
19:
984:. Retrieved
981:www.aaas.org
980:
971:
961:September 1,
959:. Retrieved
950:
922:, retrieved
917:
910:
891:
863:
857:
845:. Retrieved
841:the original
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808:
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728:
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664:
642:Awarded the
625:, July 2011.
555:Applications
535:, March 2000
518:, March 1997
508:(IFIP), 1989
469:
459:
455:
449:
444:
434:
431:
427:Optimization
425:
422:Optimization
281:Years There
260:
244:
225:and related
220:
205:
200:
196:
172:
171:
166:Award (1979)
132:
116:
111:Notable work
102:Research in
18:
1053:1948 births
924:December 4,
847:December 4,
733:G. Da Prato
560:Japan Prize
546:IEEE Fellow
320:Los Angeles
275:University
59:Nationality
1002:Categories
773:References
737:A. Lunardi
586:SIAM 2011
474:hyperbolic
367:1987-2013
346:1980-1987
325:1977-1980
303:1975-1980
37:1948-02-04
986:March 27,
684:the 2019
623:Baltimore
300:, Poland
69:Education
577:Istanbul
257:Teaching
800:at the
760:, 2010.
725:, 2002.
695:(AAAS).
570:Trieste
287:Status
214:of the
898:
870:
540:Trento
298:Warsaw
212:fellow
156:(2011)
151:(2019)
146:(2023)
140:Awards
63:Polish
52:Poland
48:Warsaw
708:160p.
654:IMACS
468:. In
322:, CA
988:2023
963:2019
926:2016
896:ISBN
868:ISBN
849:2016
723:SIAM
199:and
159:IFIP
31:Born
251:PhD
1004::
979:.
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175:(
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