Eduardo Sontag (b. 1951 in Buenos Aires, Argentina) is an American mathematician who works in systems biology and control theory and engineering. Leonhard Euler is considered by many to be one of the greatest mathematicians of all time A mathematician is the person whose primary area of study and research is the field of mathematics. ... Systems biology is the study of the interactions between the components of a biological system, and how these interactions give rise to the function and behaviour of that system (for example, the enzymes and metabolites in a metabolic pathway)[1][2]. Typically, a cellular network is modelled mathematically. ... In engineering and mathematics, control theory deals with the behavior of dynamical systems. ... Control engineering is the engineering discipline that focuses on the mathematical modelling systems of a diverse nature, analysing their dynamic behaviour, and using control theory to make a controller that will cause the systems to behave in a desired manner. ...

He received his Licenciado degree from the Mathematics Department at the University of Buenos Aires in 1972, and his Ph.D. (Mathematics) under Rudolf Kalman at the Center for Mathematical Systems Theory, University of Florida, in 1976. The Universidad de Buenos Aires (UBA) is the largest university in Argentina, founded on August 12, 1821 in the city of Buenos Aires. ... Rudolf Emil Kalman (May 19, 1930 -) is a mathematical system theorist, who is an electrical engineer by training. ... The University of Florida (Florida or UF) is a public land-grant research university located in Gainesville, Florida. ...

Since 1977, Sontag has been with the Department of Mathematics at Rutgers University, The State University of New Jersey, where he is currently Professor of Mathematics as well as a Member of the Graduate Faculties of the Department of Computer Science and of the Department of Electrical and Computer Engineering. He is also the director of SYCON, the Rutgers Center for Systems and Control, and is a co-founder and Member of the Steering Committee of the BioMaPS Institute for Quantitative Biology. Rutgers redirects here. ...

He has authored the books Topics in Artificial Intelligence (in Spanish, Buenos Aires: Prolam, 1972), Polynomial Response Maps (Berlin: Springer, 1979), and Mathematical Control Theory: Deterministic Finite Dimensional Systems (Texts in Applied Mathematics, Volume 6, Second Edition, New York: Springer, 1998) and is an ISI Highly Cited researcher. (Link to publication list).

He is in the Editorial Board of IEE Proceedings Systems Biology, SIAM Review, Synthetic and Systems Biology, International Journal of Biological Sciences, Journal of Computer and Systems Sciences, and Neural Computing Surveys (Board of Advisors), and a former Board member of IEEE Transactions in Automatic Control, Systems and Control Letters, Dynamics and Control, Neurocomputing, Neural Networks, Control-Theory and Advanced Technology, and Control, Optimization and the Calculus of Variations. In addition, he is a co-founder and co-Managing Editor of the Springer journal (MCSS (Mathematics of Control, Signals, and Systems).

Sontag is an Institute of Electrical and Electronics Engineers (IEEE) Fellow, and has been Program Director and Vice-Chair of the Activity Group in Control and Systems Theory of Society for Industrial and Applied Mathematics (SIAM). He has been a member of several committees at SIAM and the American Mathematical Society, and is a former Chair of the Committee on Human Rights of Mathematicians of the latter. 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, and the 2005 Teacher/Scholar Award from Rutgers University. The Institute of Electrical and Electronics Engineers or IEEE (pronounced as eye-triple-e) is an international non-profit, professional organization for the advancement of technology related to electricity. ... For the country formerly called Siam see Thailand SIAM is an acronym for Society for Industrial and Applied Mathematics. ... The American Mathematical Society (AMS) is dedicated to the interests of mathematical research and education, which it does with various publications and conferences as well as annual monetary awards to mathematicians. ...

His work in control theory led to the introduction of the concept of input to state stability (ISS), a stability theory notion for nonlinear systems, and control-Lyapunov functions. In systems biology, Sontag introduced together with David Angeli the concept of input/output monotone system. In engineering and mathematics, control theory deals with the behavior of dynamical systems. ... In mathematics, stability theory deals with the stability of the solutions of differential equations and dynamical systems. ... To do: 20th century mathematics chaos theory, fractals Lyapunov stability and non-linear control systems non-linear video editing See also: Aleksandr Mikhailovich Lyapunov Dynamical system External links http://www. ...

External link

• Link to Eduardo Sontag's Homepage