Arthur J. Krener

Arthur J. Krener

Born	(1942-10-08) October 8, 1942 (age 81) Brooklyn, New York, U.S.
Alma mater	College of the Holy Cross (BS) University of California, Berkeley (MA, PhD)
Known for	Krener's theorem
Awards	Richard E. Bellman Control Heritage Award (2012) IEEE Control Systems Award (2016)
Scientific career
Fields	Applied mathematics
Institutions	Naval Postgraduate School
Doctoral advisor	Stephen Diliberto

Arthur James Krener (born October 8, 1942) is an American mathematician. He is a distinguished visiting professor in the department of applied mathematics at the Naval Postgraduate School. He has made contributions in the areas of control theory, nonlinear control, and stochastic processes.

YouTube Encyclopedic

1/3
Views:
329
1 978
890

Transcription

Biography

He was born in Brooklyn, New York, on October 8, 1942. He received BS in mathematics (1964) from College of the Holy Cross and an MA (1967) and PhD (1971), both in mathematics, from the University of California, Berkeley.^[1]^[2]

He was a professor of mathematics at the University of California, Davis for 35 years. He retired from Davis as a distinguished professor in 2006 and joined the department of applied mathematics, Naval Postgraduate School at that time. His research interests are in developing methods for the control and estimation of nonlinear dynamical systems and stochastic processes.

In 1988 he founded the SIAM Activity Group on Control and Systems Theory and was its first chair. He was again chair of the SIAG CST in 2005–07.

In 2012, he received the Richard E. Bellman Control Heritage Award from the AACC. The citation reads "For contributions to the control and estimation of nonlinear systems."^[3]

In 2016, he received the IEEE Control Systems Award for "contributions to the analysis, control, and estimation of nonlinear control systems."

Work

In his PhD dissertation, Krener showed that the Lie bracket played an important role in nonlinear controllability by proving a time directed version of Chow's theorem.

Several years later with Hermann, he gave the definitive treatment of controllability and observability for nonlinear systems.^[4] This work was later cited by the IEEE Control Systems Society as one of Twenty Five Seminal Papers in Control, published in the twentieth century, which have made a major impact on the field of control.

With Isidori, Gori-Giorgi and Monaco,^[5] he gave conditions for the existence and construction of decoupling and noninteracting control laws for nonlinear systems. This paper won the George S. Axelby Outstanding Paper Award^[6] from IEEE Transactions on Automatic Control and Krener received the Medal of the University of Rome for his contributions. It also led to the concept of the zero of a nonlinear system, which was subsequently developed by Byrnes and Isidori and extended to the backstepping technique of control by Kokotovic, Krstic and many others.

Awards

IEEE Control Systems Award, IEEE, 2016.
Richard E. Bellman Control Heritage Award, AACC, 2012.
IFAC Certificate of Excellent Achievement, 2010.
IEEE Hendrik W. Bode Lecture Prize, 2006^[7]
W.T. and Idalia Reid Prize in Mathematics, SIAM, 2004.^[8]
Guggenheim Fellowship 2001^[9]
Fellow of the AMS, 2014^[10]
Fellow of SIAM, inaugural class of 2009^[11]
Fellow of IFAC
Life Fellow of the IEEE, 1990^[12]

References

^ Krener, Arthur J.; Kang, Wei; Chang, Dong Eui (2004). "Control bifurcations". IEEE Transactions on Automatic Control. 49 (8): 1231–1246. doi:10.1109/TAC.2004.832199. S2CID 3007788.
^ "Oral-History:Arthur Krener". Engineering Technology & History Wiki (ETHW). December 14, 2020. Retrieved October 25, 2022.
^ "Arthur J. Krener". Richard E. Bellman Control Heritage Award. Retrieved October 25, 2022.
^ Hermann, R.; Krener, A. (1977). "Nonlinear controllability and observability". IEEE Transactions on Automatic Control. 22 (5): 728–740. doi:10.1109/TAC.1977.1101601.
^ Isidori, A.; Krener, A.; Gori-Giorgi, C.; Monaco, S. (1981). "Nonlinear decoupling via feedback: A differential geometric approach". IEEE Transactions on Automatic Control. 26 (2): 331–345. doi:10.1109/tac.1981.1102604.
^ "IEEE CSS George S. Axelby Outstanding Paper Award". IEEE Control Systems Society. Retrieved September 5, 2023.
^ "IEEE CSS Hendrik W. Bode Lecture Prize | IEEE Control Systems Society".
^ "W. T. and Idalia Reid Prize". SIAM. Retrieved September 5, 2023.
^ List of Guggenheim Fellowships awarded in 2001
^ "Fellows of the American Mathematical Society". American Mathematical Society. Retrieved September 5, 2023.
^ "Fellows Program | SIAM". www.siam.org. Retrieved September 5, 2023.
^ "IEEE Fellows Directory". Institute of Electrical and Electronics Engineers (IEEE).