Eduardo D. Sontag
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Eduardo Daniel Sontag (born April 16, 1951, in
Buenos Aires Buenos Aires, controlled by the government of the Autonomous City of Buenos Aires, is the Capital city, capital and largest city of Argentina. It is located on the southwest of the Río de la Plata. Buenos Aires is classified as an Alpha− glob ...
,
Argentina Argentina, officially the Argentine Republic, is a country in the southern half of South America. It covers an area of , making it the List of South American countries by area, second-largest country in South America after Brazil, the fourt ...
) is an Argentine-American
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, and distinguished university professor at
Northeastern University Northeastern University (NU or NEU) is a private university, private research university with its main campus in Boston, Massachusetts, United States. It was founded by the Boston Young Men's Christian Association in 1898 as an all-male instit ...
, who works in the fields
control theory Control theory is a field of control engineering and applied mathematics that deals with the control system, control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the applic ...
, dynamical systems, systems molecular biology, cancer and immunology, theoretical computer science, neural networks, and
computational biology Computational biology refers to the use of techniques in computer science, data analysis, mathematical modeling and Computer simulation, computational simulations to understand biological systems and relationships. An intersection of computer sci ...
.


Biography

Sontag received his Licenciado degree from the mathematics department at the
University of Buenos Aires The University of Buenos Aires (, UBA) is a public university, public research university in Buenos Aires, Argentina. It is the second-oldest university in the country, and the largest university of the country by enrollment. Established in 1821 ...
in 1972, and his Ph.D. in Mathematics under Rudolf Kálmán at the Center for Mathematical Systems Theory at the
University of Florida The University of Florida (Florida or UF) is a public university, public land-grant university, land-grant research university in Gainesville, Florida, United States. It is a senior member of the State University System of Florida and a preem ...
in 1976. From 1977 to 2017, he was with the department of mathematics at
Rutgers, The State University of New Jersey Rutgers University ( ), officially Rutgers, The State University of New Jersey, is a Public university, public land-grant research university consisting of three campuses in New Jersey. Chartered in 1766, Rutgers was originally called Queen's C ...
, where he was a Distinguished Professor of Mathematics as well as a Member of the Graduate Faculty of the Department of Computer Science and the Graduate Faculty of the Department of Electrical and Computer Engineering, and a Member of the Rutgers Cancer Institute of NJ. In addition, Dr. Sontag served as the head of the undergraduate Biomathematics Interdisciplinary Major, director of the Center for Quantitative Biology, and director of graduate studies of the Institute for Quantitative Biomedicine. In January 2018, Dr. Sontag was appointed as a University Distinguished Professor in th
Department of Electrical and Computer Engineering
and th
Department of BioEngineering
at Northeastern University, where he is also an affiliate member of the Department of Mathematics and the Department of Chemical Engineering. Since 2006, he has been a research affiliate at the Laboratory for Information and Decision Systems, MIT, and since 2018 he has been a member of the faculty in the Program in Therapeutic Science, Laboratory for Systems Pharmacology at Harvard Medical School. Eduardo Sontag has authored over five hundred research papers and monographs and book chapters in the above areas with
about 60,000 citations
and an h-index of 104. He is in the editorial board of several journals, including: IET Proceedings Systems Biology, Synthetic and Systems Biology International Journal of Biological Sciences, and Journal of Computer and Systems Sciences, and is a former board member of SIAM Review, IEEE Transactions on Automatic Control, Systems and Control Letters, Dynamics and Control, Neurocomputing, Neural Networks, Neural Computing Surveys, Control-Theory and Advanced Technology, Nonlinear Analysis: Hybrid Systems, and Control, Optimization and the Calculus of Variations. In addition, he is a co-founder and co-Managing Editor of '' Mathematics of Control, Signals, and Systems''. Sontag was married to Frances David-Sontag, who died in 2017. His daughter Laura Kleiman is founder and CEO at Reboot Rx, and his son David Sontag leads the MIT Clinical Machine Learning Group.


Work

His work in
control theory Control theory is a field of control engineering and applied mathematics that deals with the control system, control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the applic ...
led to the introduction of the concept of
input-to-state stability Input-to-state stability (ISS)Eduardo D. Sontag. Mathematical Control Theory: Finite-Dimensional Systems. Springer-Verlag, London, 1998Hassan K. Khalil. Nonlinear Systems. Prentice Hall, 2002. is a stability notion widely used to study stability o ...
(ISS), a
stability theory In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differ ...
notion for
nonlinear systems In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathem ...
, and
control-Lyapunov function In control theory, a control-Lyapunov function (CLF) is an extension of the idea of Lyapunov function V(x) to systems with control inputs. The ordinary Lyapunov function is used to test whether a dynamical system is ''(Lyapunov) stable'' or (more ...
s. Many of the subsequent results were proved in collaboration with his student
Yuan Wang The Yuan Wang-class ( ''Yuǎn wàng'') are a line of Chinese tracking ships used for surveillance and communication of launch vehicle rockets and intercontinental ballistic missiles by the People's Liberation Army Strategic Support Force. This ...
and with David Angeli. In systems biology, Sontag introduced together with David Angeli the concept of input/output monotone system. In theory of computation, he proved the first results on computational complexity in nonlinear controllability, and introduced together with his student Hava Siegelmann a new approach to analog computation and super-Turing computing.


Awards and honors

Sontag became an
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) public charity professional organization for electrical engineering, electronics engineering, and other related disciplines. The IEEE has a corporate office ...
(IEEE) Fellow in 1993. He was awarded the Reid Prize in Mathematics in 2001, the 2002 Hendrik W. Bode Lecture Prize from the IEEE, the 2002 Board of Trustees Award for Excellence in Research from Rutgers University, the 2005 Teacher/Scholar Award from Rutgers University, and the 2011
IEEE Control Systems Award The IEEE Control Systems Award is a technical field award given to an individual by the Institute of Electrical and Electronics Engineers (IEEE) "for outstanding contributions to control systems engineering, science or technology". It is an IEEE- ...
. In 2022, he was awarded the Richard E. Bellman Control Heritage Award, which is the highest recognition in control theory and engineering in the United States. He was honored “for pioneering contributions to stability analysis and nonlinear control, and for advancing the control theoretic foundations of systems biology.” In 2011 he became a fellow of the
Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific soci ...
, in 2012 a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
, and in 2014 a fellow of the
International Federation of Automatic Control The International Federation of Automatic Control (IFAC), founded in September 1957 in France, is a multinational federation of 49 national member organizations (NMO), each one representing the engineering and scientific societies concerned with a ...
. Sontag was elected a Member of the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...
in April 2024. Sontag was elected into the US
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, NGO, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the ...
in April 2025.


Publications

Sontag is co-author of several hundred research papers, as well as three books: * 1972
Topics in Artificial Intelligence
(in Spanish, Buenos Aires: Prolam, 1972) * 1979
Polynomial Response Maps
(Berlin: Springer, 1979). * 1998
Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd Edition
(Texts in Applied Mathematics, Volume 6, Second Edition, New York: Springer, 1998)


Selected Public Research Rankings

Research.com top 100 US electrical engineers. Research.com top 100 US mathematicians. Most-cited author in: IEEE Transactions on Automatic Control in 1981, 1996, 1997; Systems and Control Letters 1989, 1991, 1995, 1998, and lifetime of journal; SIAM Journal on Control and Optimization 1983, 1986; Theoretical Computer Science 1994; as well as many other journal/years. Elsevier/Stanford list of top 0.5% among 2% top scientists worldwide. MathScinet list of three most-cited applied mathematicians who got PhD in 1976.


References


External links


Link to Eduardo Sontag's Homepage
* {{DEFAULTSORT:Sontag, Eduardo 1951 births Living people 20th-century American mathematicians 21st-century American mathematicians American people of Argentine descent Argentine mathematicians Control theorists Fellows of the American Mathematical Society Fellows of the Society for Industrial and Applied Mathematics Rutgers University faculty Systems biologists University of Florida alumni Northeastern University faculty University of Buenos Aires alumni