Eduardo D. Sontag

Encyclopedia

**Eduardo Daniel Sontag**is an American

United States

The United States of America is a federal constitutional republic comprising fifty states and a federal district...

/Argentine mathematician

Mathematician

A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

, and Professor at the Rutgers University

Rutgers University

Rutgers, The State University of New Jersey , is the largest institution for higher education in New Jersey, United States. It was originally chartered as Queen's College in 1766. It is the eighth-oldest college in the United States and one of the nine Colonial colleges founded before the American...

, who works in the field of systems biology

Systems biology

Systems biology is a term used to describe a number of trends in bioscience research, and a movement which draws on those trends. Proponents describe systems biology as a biology-based inter-disciplinary study field that focuses on complex interactions in biological systems, claiming that it uses...

and control theory

Control theory

Control theory is an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamical systems. The desired output of a system is called the reference...

and engineering

Control engineering

Control engineering or Control systems engineering is the engineering discipline that applies control theory to design systems with predictable behaviors...

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## Biography

Sontag received his Licenciado degree from the Mathematics Department at the University of Buenos AiresUniversity of Buenos Aires

The University of Buenos Aires is the largest university in Argentina and the largest university by enrollment in Latin America. Founded on August 12, 1821 in the city of Buenos Aires, it consists of 13 faculties, 6 hospitals, 10 museums and is linked to 4 high schools: Colegio Nacional de Buenos...

in 1972, and his Ph.D. in Mathematics under Rudolf Kalman

Rudolf Kalman

Rudolf Emil Kálmán is a Hungarian-American electrical engineer, mathematical system theorist, and college professor, who was educated in the United States, and has done most of his work there. He is currently a retired professor from three different institutes of technology and universities...

at the Center for Mathematical Systems Theory at the University of Florida

University of Florida

The University of Florida is an American public land-grant, sea-grant, and space-grant research university located on a campus in Gainesville, Florida. The university traces its historical origins to 1853, and has operated continuously on its present Gainesville campus since September 1906...

in 1976.

Since 1977, Sontag has been with the Department of Mathematics at Rutgers University

Rutgers University

Rutgers, The State University of New Jersey , is the largest institution for higher education in New Jersey, United States. It was originally chartered as Queen's College in 1766. It is the eighth-oldest college in the United States and one of the nine Colonial colleges founded before the American...

, 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.

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

*Mathematics of Control, Signals, and Systems*.

Sontag is an Institute of Electrical and Electronics Engineers

Institute of Electrical and Electronics Engineers

The Institute of Electrical and Electronics Engineers is a non-profit professional association headquartered in New York City that is dedicated to advancing technological innovation and excellence...

(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

Society for Industrial and Applied Mathematics

The Society for Industrial and Applied Mathematics was founded by a small group of mathematicians from academia and industry who met in Philadelphia in 1951 to start an organization whose members would meet periodically to exchange ideas about the uses of mathematics in industry. This meeting led...

(SIAM). He has been a member of several committees at SIAM and the

American Mathematical Society

American Mathematical Society

The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...

, 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, the 2005 Teacher/Scholar Award from Rutgers University, and the 2011 IEEE Control Systems Award

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 "for outstanding contributions to control systems engineering, science or technology"...

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## Work

His work in control theoryControl theory

Control theory is an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamical systems. The desired output of a system is called the reference...

led to the introduction of the concept of input to state stability (ISS), a stability theory

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...

notion for nonlinear systems, and control-Lyapunov function

Control-Lyapunov function

In control theory, a control-Lyapunov function V is a generalization of the notion of Lyapunov function V used in stability analysis. The ordinary Lyapunov function is used to test whether a dynamical system is stable...

s. In systems biology, Sontag introduced together with David Angeli the concept of input/output monotone system.

## Publications

He has authored three books and is an ISI Highly Cited researcher:- 1972, Topics in Artificial Intelligence (in Spanish, Buenos Aires: Prolam, 1972)
- 1979, Polynomial Response Maps (Berlin: Springer, 1979).
- 1989, Mathematical Control Theory: Deterministic Finite Dimensional Systems (Texts in Applied Mathematics, Volume 6, Second Edition, New York: Springer, 1998)