George D. Zames
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George Zames (January 7, 1934 – August 10, 1997) was a Polish-Canadian control theorist and professor at McGill University, Montreal, Quebec, Canada. Zames is known for his fundamental contributions to the theory of
robust control In control theory, robust control is an approach to controller design that explicitly deals with uncertainty. Robust control methods are designed to function properly provided that uncertain parameters or disturbances are found within some (typicall ...
, and was credited for the development of various well-known results such as
small-gain theorem In nonlinear systems, the formalism of input-output stability is an important tool in studying the stability of interconnected systems since the gain of a system directly relates to how the norm of a signal increases or decreases as it passes thro ...
,
passivity theorem Passive may refer to: * Passive voice, a grammatical voice common in many languages, see also Pseudopassive * Passive language, a language from which an interpreter works * Passivity (behavior), the condition of submitting to the influence of on ...
,
circle criterion In nonlinear control and stability theory, the circle criterion is a stability criterion for nonlinear time-varying systems. It can be viewed as a generalization of the Nyquist stability criterion In control theory and stability theory, the Nyq ...
in input–output form, and most famously, H-infinity methods.


Biography


Childhood

George Zames was born on January 7, 1934 in Łódź, Poland to a Jewish family. Growing up in Warsaw, Zames and his family escaped the city at the onset of World War II, and moved to
Kobe Kobe ( , ; officially , ) is the capital city of Hyōgo Prefecture Japan. With a population around 1.5 million, Kobe is Japan's seventh-largest city and the third-largest port city after Tokyo and Yokohama. It is located in Kansai region, whic ...
(Japan), through
Lithuania Lithuania (; lt, Lietuva ), officially the Republic of Lithuania ( lt, Lietuvos Respublika, links=no ), is a country in the Baltic region of Europe. It is one of three Baltic states and lies on the eastern shore of the Baltic Sea. Lithuania ...
and Siberia, and finally to the Anglo-French International Settlement in Shanghai. Zames indicated later that he and his family owe their lives to the transit visa provided by the Japanese Consul to Lithuania, Chiune Sugihara. In Shanghai, Zames continued his schooling, and in 1948, the family emigrated to Canada.


Education

Zames entered McGill University at the age of 15 and received a
B.Eng. A Bachelor of Engineering (BEng) or a Bachelor of Science in Engineering (BSE) is an academic undergraduate degree awarded to a student after three to five years of studying engineering at an accredited college or university. In the UK, a Bache ...
degree in Engineering Physics. Graduating at the top of his class, Zames won an
Athlone Fellowship The Athlone Fellowship Scheme for the Practical Training in Industry of Canadian Engineering Graduates in Great Britain was a one to two-year post-graduate program to bring Canadian engineers to the United Kingdom for additional studies or industr ...
to study in England, and moved to the
Imperial College Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...
. Graduating in two years, his advisors included
Colin Cherry Edward Colin Cherry (23 June 1914 – 23 November 1979) was a British cognitive scientist whose main contributions were in focused auditory attention, specifically the cocktail party problem regarding the capacity to follow one conversatio ...
, Dennis Gabor, and
John Hugh Westcott John Hugh Westcott FRS, FREng, Hon FIEE (3 November 1920 – 10 October 2014) was a British scientist specialising in control systems and Professor of Computing and Automation at Imperial College London. Career Westcott was educated at Wa ...
. In 1956, Zames entered the Massachusetts Institute of Technology to start his doctoral studies, and in 1960 earned a Sc.D. for a thesis titled ''Nonlinear Operations of System Analysis.'' He was advised by
Norbert Wiener Norbert Wiener (November 26, 1894 – March 18, 1964) was an American mathematician and philosopher. He was a professor of mathematics at the Massachusetts Institute of Technology (MIT). A child prodigy, Wiener later became an early researcher i ...
and Yuk-Wing Lee.


Career

From 1960 to 1965, Zames held various teaching positions at MIT and Harvard University. In 1965, Zames received a
Guggenheim Fellowship Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...
and moved to the NASA Electronic Research Center (ERC), where he founded the Office of Control Theory and Applications (OCTA). In 1969, it was announced that NASA ERC was to be closed, and Zames joined the newly established Department of Transportation Research Center in 1970. In 1972, Zames spent a
sabbatical A sabbatical (from the Hebrew: (i.e., Sabbath); in Latin ; Greek: ) is a rest or break from work. The concept of the sabbatical is based on the Biblical practice of ''shmita'' (sabbatical year), which is related to agriculture. According to ...
at the Technion in Haifa, Israel, and in 1974, he returned to McGill University to become a professor and eventually the MacDonald Chair of Electrical Engineering until his death in 1997.


Family

Zames was married to Eva, whom he met in Israel. They have two sons, Ethan and Jonathan.


Research

Zames’s research focused on imprecisely modelled systems using the input-output method, an approach that is distinct from the state space representation that dominated control theory for several decades. At the core of much of his work is the objective of ''complexity reduction through organization'':
For the purposes of control design, gross qualitative properties such as robustness can be analyzed and predicted without depending on accurate models or syntheses. Mathematical analysis provides topological tools that are very well suited for this purpose, such as compactness, contraction, and fixed-point methods. Furthermore, in control design, where there is lots of model uncertainty, it is often more important to be able to gauge qualitative behaviour (robustness, stability, existence of oscillations) than to compute exactly.


Legacy

The ''International Journal of Robust and Nonlinear Control'' published in 2000 a special issue in George Zames’s honour, including a complete list of his publications. Reviews of Zames’s life and legacy were published by S. Mitter and A. Tannenbaum, J. C. Willems, and in a volume resulting from a conference held to honor the occasion of Zames's 60th birthday.


Awards and honors

* In 1984 the
IEEE Control Systems Science and Engineering Award The IEEE Control Systems Award is a Institute of Electrical and Electronics Engineers#Technical field awards, technical field award given to an individual by the Institute of Electrical and Electronics Engineers (IEEE) "for outstanding contributio ...
* In 1995 the
Killam Prize The Izaak Walton Killam Memorial Prize was established according to the will of Dorothy J. Killam to honour the memory of her husband Izaak Walton Killam. Five Killam Prizes, each having a value of $100,000, are annually awarded by the Canada Cou ...
* In 1996 the Rufus Oldenburger Medal from the
American Society of Mechanical Engineers The American Society of Mechanical Engineers (ASME) is an American professional association that, in its own words, "promotes the art, science, and practice of multidisciplinary engineering and allied sciences around the globe" via "continuing ...


References


External links


Obituary

Mathematics Genealogy Project profile
{{DEFAULTSORT:Zames, George 1934 births 1997 deaths Anglophone Quebec people Control theorists Jews who emigrated to escape Nazism Polish emigrants to Canada Jewish Canadian scientists McGill University Faculty of Engineering alumni Harvard University staff Sugihara's Jews